Browse Geometry problems Studdy Solved!

Problem 4701

Identify the true property of quadrilaterals from these options:
1. 4 curved sides
2. 3 dimensions
3. 4 corners (vertices)
4. 4 curved edges.

See Solution

Problem 4702

Find $m \angle N F E$ given $m \angle G F N=4x+10$ , $m \angle N F E=14x+3$ , and $m \angle G F E=157^{\circ}$ .

See Solution

Problem 4703

Find $m \angle I H G$ given $m \angle Z H G=11 x-1$ , $m \angle I H Z=24^{\circ}$ , and $m \angle I H G=12 x+13$ .

See Solution

Problem 4704

Find $x$ if $m \angle G F Z=38^{\circ}$ , $m \angle Z F E=2x+125$ , and $m \angle G F E=x+163$ .

See Solution

Problem 4705

Find the perimeter and area of a trapezoid with bases 13.4 and 14.7 units, and height 11.2 units. Round area to the nearest tenth.

See Solution

Problem 4706

Find $m \angle H I W$ given $m \angle W I J=10 x$ , $m \angle H I J=145^{\circ}$ , and $m \angle H I W=2 x+13$ .

See Solution

Problem 4707

Find the perimeter and area of a triangle with height 11.2, sides 14.7, 13.4, and base 13.4. Round area to nearest tenth.

See Solution

Problem 4708

Find $m \angle F G H$ given $m \angle F G B=105^{\circ}$ and $m \angle B G H=54^{\circ}$ .

See Solution

Problem 4709

Find $m \angle W V U$ given $m \angle Z V U=62^{\circ}$ and $m \angle W V Z=50^{\circ}$ .

See Solution

Problem 4710

Find the measure of angle $GHI$ given that $m \angle GHC = 60^{\circ}$ and $m \angle CHI = 104^{\circ}$ .

See Solution

Problem 4711

Find $m \angle L M N$ if $m \angle F M N=99^{\circ}$ and $m \angle L M F=36^{\circ}$ .

See Solution

Problem 4712

Identify the statement that is NOT true for parallelograms:
1. All angles are right angles.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Opposite angles are congruent.

See Solution

Problem 4713

Find the scale factor from Polygon A (sides 2.5, 2.5, 1.5) to Polygon B (side 5) using the formula: scale factor = $\frac{\text{side in B}}{\text{corresponding side in A}}$ .

See Solution

Problem 4714

One angle is $66^{\circ}$ , and the third angle is $57^{\circ}$ more than half the second angle. Find the second and third angles.

See Solution

Problem 4715

Graph the equations: $y=\frac{3}{4} x-2$ and $y=-\frac{3}{4} x-8$ . Use point and line tools to plot.

See Solution

Problem 4716

Two similar triangles have sides $7x$ and $70$ for the first, and $120$ and $60$ for the second. Find $x$ .

See Solution

Problem 4717

Solve for $l$ in the perimeter formula of a rectangle: $p=2 l+2 w$ . What is the expression for $l$ ?

See Solution

Problem 4718

A room is 6 m longer than wide, with a perimeter of 36 m. Find the length and width of the room.

See Solution

Problem 4719

A room is 3 times longer than wide with a perimeter of 64 m. Find the length and width in meters.

See Solution

Problem 4720

Find the distance, midpoint, and slope of the line between points $(2,-2)$ and $(5,2)$ .

See Solution

Problem 4721

Calculate the area of a triangle with base 10m and height 8m using $Area = \frac{1}{2} \cdot base \cdot height$ .

See Solution

Problem 4722

Classify the shape: opposite sides are parallel, all sides congruent, vertices not necessarily right angles. Options: Square, Rectangle, Rhombus, Parallelogram.

See Solution

Problem 4723

Find the width of a 70" TV with a 16:9 aspect ratio. Options: $80.33^{\prime \prime}$ , $39.4^{\prime \prime}$ , $61^{\prime \prime}$ , $44.8^{\prime \prime}$ .

See Solution

Problem 4724

Identify a real-life situation that involves a quadrilateral: inflating a balloon, tiling a floor, building a pyramid, or baking a cake?

See Solution

Problem 4725

Find the acute angle $x$ that the long diagonal of the parallelogram makes with Bridge Road, given $120^{\circ}$ and $25^{\circ}$ .

See Solution

Problem 4726

How long will it take George to mop a $95 \mathrm{ft}$ by $50 \mathrm{ft}$ gym floor if he mops $34 \mathrm{ft}^{2}$ per minute?

See Solution

Problem 4727

Find the actual dimensions of a pool from a drawing where $1 \mathrm{~cm}$ equals $1 \mathrm{~m}$ . Also, compare a new scale of $1 \mathrm{~cm}$ to $2 \mathrm{~m}$ .

See Solution

Problem 4728

Which park map is larger: 1 inch to 1,000 feet or 1 inch to 500 feet? Explain your reasoning.

See Solution

Problem 4729

Find the distance from home plate to second base on a square baseball diamond with 86-foot sides. Express in radical form and decimal.

See Solution

Problem 4730

Is Han correct that a restaurant with an area of $60 \mathrm{in}^2$ corresponds to $720 \mathrm{ft}^2$ on a 1 inch to 12 feet scale? A) Disagree B) Agree. Explain.

See Solution

Problem 4731

Quadrilateral A has sides $6, 9, 9, 12$ . Quadrilateral B is a scaled copy with shortest side 2. Find the perimeter of B.

See Solution

Problem 4732

Scale a polygon with sides 3, 1, 2, 1, and 2 units to a perimeter of 30 units. Find the scale factor and explain your reasoning.

See Solution

Problem 4733

An angle drawn in standard position can be any number of degrees must be less than $90^{\circ}$ must be less than $360^{\circ}$ must be less than $180^{\circ}$

See Solution

Problem 4734

Consult the figure. To find the length of the span of a oroposed ski lift from $A$ to $B$ , a surveyor measures the angle DAB to be $25^{\circ}$ and then walks off a distance of $L=1000$ feet to $C$ and measures the angle $A C B$ to be $15^{\circ}$ . What is the distance from $A$ to $B$ ?
The distance from $A$ to $B$ is approtmately $\square$ feet. (Do not round until the final answer. Then round to two decimal places as needed.)

See Solution

Problem 4735

Points $A$ and $B$ are separated by a lake. To find the distance between them, a surveyor locates a point $C$ on land such than $\angle C A B=52.1^{\circ}$ . Find the distance across the lake from $A$ to $B$ .
NOTE: The triangle is NOT drawn to scale. distance $\approx$ $\square$ ft
Enter your answer as a number; your answer should be accurate to 2 decimal places.

See Solution

Problem 4736

Eighth grade 2.5 Graph a line using slope You have prizes to reveall go to yourgame board Learn with an example Watch a video (D) Questions answered
Graph the line that has a slope of $\frac{1}{10}$ and includes the point $(0,1)$ . 34
Click to select points on the graph. \begin{tabular}{|c|c|} \hline & Time tapsed \\ \hline 00 & $25 \quad 29$ \\ \hline \begin{tabular}{l} 3 m \\ out \end{tabular} & Martscore of 100 O \\ \hline \end{tabular} (0) Sulmiz

See Solution

Problem 4737

The diagram shows a triangle.
What is the value of $s$ ? $s=\square^{\circ}$

See Solution

Problem 4738

The diagram shows a triangle.
What is the value of $u$ ? $u=$

See Solution

Problem 4739

7 A rectangular yard is 18 feet long. The area of the yard is 400.5 square feet. What is the width of the yard? Explain.

See Solution

Problem 4740

1) Use the figure to answer the question.
Choose the correct equation to find the value of $a$ . $m \angle M L N=m \angle M L K$ $m \angle M L N+m \angle M L K=90^{\circ}$ $m \angle M L N=90^{\circ}+m \angle M L K$ $m \angle M L N+m \angle M L K=180^{\circ}$
2) Use the figure to answer the question.
Using the equation from question 1, find the value of a. $a=4.04$ $a=31$ $a=22.04$

See Solution

Problem 4741

Two sides and an angle are given below. Determine whether the given information results in one triangle, two triangles, or no triangle at all. Solve any triangle(s) that results. $a=6, b=4, A=70^{\circ}$
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Type an integer or decimal rounded to two decimal places as needed.)

See Solution

Problem 4742

8 Divide these identical trapezoids into different sets of figures. Use these figures to find the area of each trapezoid.
Show your work. $4 \times 3.5=14$ $\begin{array}{c} \frac{1}{2} \times 1.5 \times 3.5=2.4254 \times 3.3=1 \\ 14+2 \times 2.625 \\ 14+5.25=19.25 \end{array}$
Solution: $\qquad$ 9.25 (9) Use the results of problem 8. Does the area of a figure depend on how it is separated into smaller figures? $\qquad$

See Solution

Problem 4743

The graph of $y=f(x)$ is shown below. According to the graph, what is $f(-$
Answer 5 1 0 $-5$

See Solution

Problem 4744

i 0 C.
The equation of Line $A$ is $y=-\frac{1}{3} x+4$ . The graph of Line $B$ is parallel to Line $A$ and passes through the point $(3,5)$ . Graph the two lines. A. B. D.

See Solution

Problem 4745

circumference of $12 \pi$ .
3. Which of the following is a correct equation for the circle shown graphed below? (1) $(x-2)^{2}+(y+3)^{2}=16$ (2) $(x+2)^{2}+(y-3)^{2}=4$ (3) $(x-2)^{2}+(y+3)^{2}=4$ (4) $(x+2)^{2}+(y-3)^{2}=16$

See Solution

Problem 4746

3. Which of the following is a correct equation for the circle shown graphed below? (1) $(x-2)^{2}+(y+3)^{2}=16$ (2) $(x+2)^{2}+(y-3)^{2}=4$ (3) $(x-2)^{2}+(y+3)^{2}=4$ (4) $(x+2)^{2}+(y-3)^{2}=16$

See Solution

Problem 4747

1. Each point $A$ is mapped to point $A^{\prime}$ by a dilation centered at the origin with the given scale factor. Complete the table. \begin{tabular}{c|c|c} Coordinates of $\boldsymbol{A}$ & Scale Factor & Coordinates of $\boldsymbol{A}^{\prime}$ \\ \hline $(-4,-2)$ & 3 & \\ \hline $(6,-4)$ & $\frac{1}{2}$ & \\ \hline $(-5,3)$ & 4 & \\ \hline \end{tabular}

See Solution

Problem 4748

Help aidh parcon weach the destination by ploting the points and connecting them. 1) $(5,9),(5,7),(6,7),(6,4),(6,1)$ 2) $(2,8),(2,6),(4,6),(4,2),(6,2)$ 3) $(10,3),(8,3),(8,6),(5,6),(5,8)$ 4) $(4,3),(6,3),(6,6),(8,6),(8,7)$

See Solution

Problem 4749

POSSIBLE POINTS
A diagram demonstrates the Pythagorean Theorem, which states that for a right triangle with legs $a$ and $b$ and hypotenuse $c, a^{2}+b^{2}=c^{2}$ .
How are the squares in the diagram related to the equation? The number of unit squares in each square is equal to the adjacent side length. The square of the sum of the legs equals the square of the hypotenuse. The square shapes represent the squares of the side lengths, and the sum of the areas of the two smaller squares equals the area of the larger square. The squares represent the side lengths of the triangle. The sum of the side lengths of the legs equals the length of the hypotenuse. The square of the sum of the lengths of the sides of the triangle equals the number of unit squares in all the squares.

See Solution

Problem 4750

The right triangle below has legs of length $a=10$ and $b=7$ . The hypotenuse has length $c$ .
Answer the questions below to find how $a, b$ , and $c$ are related.
Part 1: Compute the total combined area of the four triangles: Part 2: Compute the area of the large (outer) square: $\square$
Part 3: Using your answers in Parts 1 and 2, find the area of the small (inner) square. $c^{2}=$ $\square$ Part 4: We are given the side lengths $a=10$ and $b=7$ . Compute $a^{2}+b^{2}$ . $a^{2}+b^{2}=$ $\square$

See Solution

Problem 4751

3. Select all true statements.
Circle A
Circle B
Circle C A. Circle A has a circumference of $\pi$ . B. Circle B has a circumference of $\pi$ . C. Circle B has an area of $\pi$ . D. Circle C has an area of $\pi$ .

See Solution

Problem 4752

1 2 3 4 5
Find the distance between the points $(-5,-4)$ and $(-2,-4)$ .
Distance: $\square$

See Solution

Problem 4753

3. Kyra has a rectangular vegetable garden that measures 12 feet by 18 feet. She wants to reduce the area of her garden. She closes the fence further in so that the new garden measures 12 feet by 9 feet. How does the area of the new garden compare to the area of the old garden? (Find the area of both the old \& new gardens.) (a) The new area will be one-half as large. (b) The new area will be two-thirds as large. (c) The new area will be one-fourth as large. (d) The new area will be three-fourths as large.
4. Which of the following is equal to $\frac{11}{12}$ ? (a) 0.916 (b) $0.91 \overline{6}$ (c) $0 . \overline{916}$ (d) $1 . \overline{09}$

See Solution

Problem 4754

Find the value of $f(9)$ .
Answer Attempt 2 out of 2 $\square$ Submit Answer

See Solution

Problem 4755

3. (15 pts) Given is that $A=38^{\circ}$ and $b=19 \mathrm{~cm}$ and $c=22 \mathrm{~cm}$ . Solve the triangle $A B C$ . Round measures to 1 decimal place if necessary.

See Solution

Problem 4756

$D E F G$ is a rectangle. $D F=5 x-3$ and $E G=x+5$ . Find the value of $x$ and the length of each diagonal. HINT: Sketch the rectangle DEFG and draw DF and EG. Select one: a. $\quad x=1, D F=6, E G=6$ b. $x=2, D F=7, E G=12$ c. $x=2, D F=6, E G=6$ d. $\quad x=2, D F=7, E G=7$

See Solution

Problem 4757

$\text{Slope} = \frac{5}{3}$
$\text{Slope} = \frac{-4}{2}$

See Solution

Problem 4758

2. [4 pts] In the diagram below, $\triangle A B C$ has coordinates $A(1,1), B(4,1)$ , and $C(4,5)$ . Graph and label $\triangle A^{\prime \prime} B^{\prime \prime} C^{\prime \prime}$ , the image of $\triangle A B C$ after the translation five units to the right and two units up followed by the reflection over the line $y=0$ . [Unit 2, Unit 5]

See Solution

Problem 4759

Graph the folloing $\left\{\begin{array}{l} y>x-2 \\ y \leq 3 x-2 \end{array}\right.$

See Solution

Problem 4760

An observer stands at a point P , one unit away from a track. Two runners start at the point S in the figure and run along the track. One runner runs 2 times as fast as the other. Find the maximum value of the observer's angle of sight $\theta$ between the runners. [Hint: Maximize $\tan \theta$ ] $\theta=$ $\square$ radians

See Solution

Problem 4761

FIND DAMEIER Of crecle?

See Solution

Problem 4762

3. Calcula el área de cada cuadrado. Después contesta.

See Solution

Problem 4763

7. This exercise is about the simultaneous equations $\begin{array}{c} x+3 y=3 \\ x+y=5 \end{array}$ a) Graph the two equations on one pair of axes.

See Solution

Problem 4764

Find the angle $\theta$ between the vectors $\mathbf{v}=2 \mathbf{i}+\mathbf{k}, \mathbf{w}=\mathbf{j}-3 \mathbf{k}$ . $\theta=$ $\square$ degrees
Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 1 time.

See Solution

Problem 4765

Find the angle $\theta$ between the vectors $\mathbf{v}=4 \mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{w}=2 \mathbf{i}+3 \mathbf{j}+5 \mathbf{k}$ . $\theta=$ $\square$ degrees

See Solution

Problem 4766

Find the distance between P and Q . $P(-1,1), Q(-6,-11)$ 26 14 169 13 None of these answers

See Solution

Problem 4767

Choose ALL answers that describe the polygon $D E F G$ if $D E=E F=F G=G D$ .
Answer Attempt 2 out of 3 Parallelogram Quadrilateral Rectangle Rhombus Square Trapezoid Submit Answer

See Solution

Problem 4768

Graph the solution set of the following system of inequalities. $\begin{array}{r} 3 x+6 y \leq 6 \\ 3 x+y \leq 6 \end{array}$

See Solution

Problem 4769

Triangle $D E F$ is formed by connecting the midpoints of the side of triangle $A B C$ . The lengths of the sides of triangle $A B C$ are shown. Find the perimeter of triangle $D E F$ . Figures not necessarily drawn to scale.

See Solution

Problem 4770

Triangle $U V W$ is formed by connecting the midpoints of the side of triangle RST. The lengths of the sides of triangle $R S T$ are shown. What is the length of $\overline{W V}$ ? Figures not necessarily drawn to scale.

See Solution

Problem 4771

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

See Solution

Problem 4772

Which of the following sets of numbers could represent the three sides of a triangle?
Answer $\{13,25,40\}$ $\{10,16,25\}$ Submit Answer $\{6,18,25\}$ $\{13,22,35\}$

See Solution

Problem 4773

Prob. 5 Consider these three diagrams. (a) The first diagram depicts a point $\left(p_{1}, q_{1}\right)$ lying on a circle of radius 1 centered at the point $(0,0)-$ which is to say, the unit circle. What are the coordinates of this point? $\left(p_{1}, q_{1}\right)=($ $\qquad$ $\qquad$ (b) The second diagram depicts a point $\left(p_{2}, q_{2}\right)$ lying on a circle of radius 2 centered at the point $(0,0)$ . (Effectively, we've made the previous circle twice as big.) What are the coordinates of this point? $\left(p_{2}, q_{2}\right)=($ $\qquad$ $\qquad$ (c) The third diagram depicts a point $\left(p_{3}, q_{3}\right)$ lying on a circle of radius 2 centered at the point $(-2,1)$ . (Effectively, we've shifted the previous circle 2 units left and 1 unit up.) What are the coordinates of this point? $\left(p_{3}, q_{3}\right)=(\square, \square)$

See Solution

Problem 4774

Find the volume of a circular cylinder with a radius of 10 ft and a height of 13 feet.

See Solution

Problem 4775

7. Find the volume of a cone with a radius of 3 m and a height of 10 m .

See Solution

Problem 4776

The center of a wind turbine is attached to the top of a 60 m tower and it has four spinning blades that are 40 m long. The turbine makes 40 revolutions (counterclockwise) every minute. We're trying to track the motion of a particular blade. The blade starts at an angle of $\frac{\pi}{4}$ with the horizontal. Find a function $H$ such that $t$ minutes after the turbine starts turning the tip of this particular blade is at a height of $H(t)$ feet. $H(t)=$ $\qquad$

See Solution

Problem 4777

Find the supplement of an angle with 109 degrees.

See Solution

Problem 4778

What is the probability that a random point on $\overline{A B}$ will be on $\overline{C D}$ ? $\begin{array}{ccc} A & C & 6 \\ 48 & 51 & C \end{array}$

See Solution

Problem 4779

C RM, 15. Point $P$ is on the terminal arm of an angle in standard position in us Quadrant 1. The distance $r$ between $P$ and the origin is given. Determine possible coordinates for $P$ . a) $\sqrt{29}$

See Solution

Problem 4780

Find the included angle between $\mathbf{u}=\left[\begin{array}{c}0 \\ 0 \\ -1\end{array}\right]$ and $\mathbf{v}=\left[\begin{array}{c}0 \\ 1 \\ 1\end{array}\right]$ in $\mathbb{R}^{3}$ . $\theta=$

See Solution

Problem 4781

Find the volume of the parallelepiped determined by the vectors $\mathbf{u}=\left[\begin{array}{c}1 \\ -1 \\ 1\end{array}\right], \mathbf{v}=$ $\left[\begin{array}{c} -2 \\ -1 \\ 2 \end{array}\right], \text { and } \mathbf{w}=\left[\begin{array}{c} -2 \\ 1 \\ 2 \end{array}\right]$
Volume $=$ $\square$ cubic units

See Solution

Problem 4782

Graph the inequality $4 x-5 y>20$ .

See Solution

Problem 4783

2 Rajah 2 menunjukkan graf jarak-masa bagi pergerakan dua buah objek dalam tempoh 80 minit.
Diagram 2 shows the distance-time graph of the motion of two objects for a period of 80 minutes.
Graf $E F G H$ mewakili pergerakan objek $A$ dari titik $Y$ ke titik $Z$ . Graf $L H$ mewakili pergerakan objek $B$ dari titik $X$ ke titik $\dot{Z}$ . Graph EFGH represents the motion of object A from point $Y$ to point $Z$ . Graph LH represents the motion of object B from point X to point Z. (a) Nyatakan jarak, dalam km, dari titik $X$ ke titik $Y$ .
State the distance, in km, from point $X$ to point $Y$ . [2 markah/marks] (b) Hitung masa $t$ , dalam minit, apabila dua objek itu bertemu.
Calculate the time $t$ , in minutes, when the two objects meet. [3 markah/marks]

See Solution

Problem 4784

2 Rajah 2 menunjukkan graf jarak-masa bagi pergerakan dua buah objek dalam tempoh 80 minit.
Diagram 2 shows the distance-time graph of the motion of two objects for a period of 80 minutes.
Graf $E F G H$ mewakili pergerakan objek $A$ dari titik $Y$ ke titik $Z$ . Graf $L H$ mewakili pergerakan objek $B$ dari titik $X$ ke titik $\dot{Z}$ . Graph EFGH represents the motion of object A from point $Y$ to point $Z$ . Graph LH represents the motion of object B from point X to point Z. (a) Nyatakan jarak, dalam km, dari titik $X$ ke titik $Y$ .
State the distance, in km, from point $X$ to point $Y$ . [2 markah/marks] (b) Hitung masa $t$ , dalam minit, apabila dua objek itu bertemu.
Calculate the time $t$ , in minutes, when the two objects meet. [3 markah/marks]

See Solution

Problem 4785

Wodurch ist eine Ebene festgelegt? - Auftrag 3 Eine Ebene kann nicht nur durch drei geeignete Punkte festgelegt werden, sondern auch durch zwei Geraden. a). Begründe: Zwei verschiedene, zueinander parallele Geraden legen eine Ebene fest.
Im Folgenden sind zwei Geraden gegeben: $g: \vec{x}=\left(\begin{array}{l} 3 \\ 2 \\ 1 \end{array}\right)+t \cdot\left(\begin{array}{l} 1 \\ 0 \\ 0 \end{array}\right) \quad h: \vec{x}=\left(\begin{array}{l} 0 \\ 1 \\ 0 \end{array}\right)+s \cdot\left(\begin{array}{l} 1 \\ 0 \\ 0 \end{array}\right)$ b) Diese zwei verschiedenen, parallelen Geraden legen eine Ebene fest. Bestimmen eine Parametergleichung der Ebene.

See Solution

Problem 4786

7. (0-2) Podstawą prostopadłościanu jest kwadrat o boku x, a jego krawędź boczna jest o 2 krótsza od krawędzi podstawy. Wyznacz wielomian V opisujący objętość tego prostopadłościanu. Określ dziedzinę funkcji. 142-7

See Solution

Problem 4787

Pflichtaufgabe 2: (8 Punkte) Gegeben sind die Geraden $g: g: \vec{x}=\left(\begin{array}{c}3 \\ -3 \\ 3\end{array}\right)+r \cdot\left(\begin{array}{c}3 \\ 0 \\ -1\end{array}\right)$ mit $r \in \mathbb{R}$ und $h: \vec{x}=\left(\begin{array}{c}3 \\ -3 \\ 3\end{array}\right)+s \cdot\left(\begin{array}{l}1 \\ 0 \\ 3\end{array}\right)$ mit $s \in \mathbb{R}$ . (1) Geben Sie die Koordinaten des Schnittpunkts von $g$ und $h$ an und zeigen Sie, dass $g$ und $h$ senkrecht zueinander verlaufen. (2) Die Ebene $E$ enthält die Geraden $g$ und $h$ . Prüfen Sie, ob der Punkt $P(7|-3| 5)$ in $E$ liegt.

See Solution

Problem 4788

Problem 3.7. Nora spends part of her summer driving a combine during the wheat harvest. Assume she starts at the indicated posttton heading east at $10 \mathrm{ft} / \mathrm{sec}$ toward a circular wheat field of radtus 200 ft . The combine cuts a swath 20 feet wide and begins when the corner of the machine labeled "a" is 60 feet north and 60 feet west of the western-most edge of the field. (a) When does Nora's rig first start cutting the wheat? (b) When does Nora's rig first start cutting a swath 90 feet wide?

See Solution

Problem 4789

Graph each system of inequalities. Shade the solution of each system. 1.) $\left\{\begin{array}{l}y \leq 2 x-1 \\ y>-x+3\end{array}\right.$ 2.) $\left\{\begin{array}{l}3 x-2 y<4 \\ -2 x-6 y<-12\end{array}\right.$ 3.) $\left\{\begin{array}{l}2 x+2 y \geq-6 \\ x+y \leq-1\end{array}\right.$

See Solution

Problem 4790

Aufgaben zur Linearen Algebra mit Schwerpunkt auf Schnittpunkten und Lagebeziehungen 1) a) Es wird die Gleichung einer Geraden durch die Punkte $A(4 ; 1 ; 3)$ und $B(5 ; 3 ; 5)$ gesucht. b) Liegt R(2; 3 ; -1 ) auf der Geraden aus a)? c) Wo schneidet die Geraden aus a) die $x-y$ -Ebene ( $E: z=0$ )? 2) Wie ist die Lage der Geraden g und h zueinander? a) $g: \vec{x}=\left(\begin{array}{l} 1 \\ 2 \\ 3 \end{array}\right)+s \cdot\left(\begin{array}{l} 1 \\ 1 \\ 2 \end{array}\right) \text { und } h: \vec{x}=\left(\begin{array}{l} 2 \\ 2 \\ 3 \end{array}\right)+t \cdot\left(\begin{array}{l} 2 \\ 2 \\ 4 \end{array}\right)$ b) $g: \vec{x}=\left(\begin{array}{c} 4 \\ 2 \\ -1 \end{array}\right)+s \cdot\left(\begin{array}{c} 2 \\ 1 \\ -1 \end{array}\right) \text { und } h: \vec{x}=\left(\begin{array}{l} 0 \\ 0 \\ 1 \end{array}\right)+t \cdot\left(\begin{array}{c} -2 \\ -1 \\ 1 \end{array}\right)$ c) $g: \vec{x}=\left(\begin{array}{c} 1 \\ 4 \\ -2 \end{array}\right)+s \cdot\left(\begin{array}{c} -1 \\ 1 \\ 4 \end{array}\right) \text { und } h: \vec{x}=\left(\begin{array}{c} -1 \\ 5 \\ 5 \end{array}\right)+t \cdot\left(\begin{array}{c} -1 \\ -2 \\ 3 \end{array}\right)$ 3) Wie muss a gewählt werden, damit sich $\mathrm{g}_{\mathrm{a}}: \overrightarrow{\mathrm{x}}=\left(\begin{array}{l}\mathrm{a} \\ 1 \\ 4\end{array}\right)+\mathrm{s} \cdot\left(\begin{array}{l}3 \\ 1 \\ 5\end{array}\right)$ und $\mathrm{h}: \overrightarrow{\mathrm{x}}=\left(\begin{array}{c}6 \\ 4 \\ 20\end{array}\right)+\mathrm{t} \cdot\left(\begin{array}{l}4 \\ 1 \\ 4\end{array}\right)$ AF III nittwinkel? scheiden, wo liegt der Schnittpunkt und wie groß ist der Schnittwinkel? 4) Es soll eine Ebene durch die Punkte $P(4 ; 0 ; 0), Q(2 ;-1 ; 0)$ und $R(1 ;-2 ;-1)$ gelegt werden. Wie lautet eine Gleichung dieser Ebene in Parameterform und wie in Koordinatenform? 5) Gegeben ist die Gleichung der Ebene $E:-x+y+2 z=4$ . a) No schneidet die Ebene die z-Achse? Basisan/g. b) $S(1 ; 1 ; r)$ soll in E liegen, wie muss $r$ gewählt werden? Hibue's: c) Es wird der Schnittpunkt von E mit der Geraden Enisgehe. $\mathrm{g}: \overrightarrow{\mathrm{x}}=\left(\begin{array}{c} 2 \\ 10 \\ 3 \end{array}\right)+\mathrm{t} \cdot\left(\begin{array}{c} -1 \\ 2 \\ 1 \end{array}\right)$ gesucht. tedinen.

See Solution

Problem 4791

Question 1 of 20 This quiz: 20 point(s) possible This question: 1 point(s) possible Submit q
Find the focus and directrix of the parabola with the given equation. Then graph the parabola. $y^{2}=40 x$
The focus is $\square$ (Type an ordered pair.) The directrix is $\square$ (Type an equation.) Use the graphing tool to graph the parabola only.
Click to enlarge graph

See Solution

Problem 4792

2. Дан треугольник $A B C: A(2 ; 3), B(6 ;-5), C(0 ; 0)$ . Составьте уравнение средней линии $M N$ , где $M$ и $N$ - середины сторон $A B$ и $B C$ соответственно.
3. Для данной системы векторов

See Solution

Problem 4793

For the right triangles below, find the exact values of the side lengths $a$ and $d$ . If necessary, write your responses in simplified radical form. $a=$ $\square$ $d=$ $\square$

See Solution

Problem 4794

12. Amelia's scale drawing of the headboard on her bed is shown below. If 4 inches $=2$ feet on the real headboard, what is the actual length of the headboard? (Use a proportion to solve) A. 3.2 feet B. 3.4 feet C. 6.4 feet D. 8.4 feet

See Solution

Problem 4795

rieți rezolvările complete.
1. In triunghiul $A B C, A D \perp B C, D \in B C$ , iar punctele $M, N$ și $P$ sunt mijloacele laturilor $A B, A C$ , respectiv $B C$ . Demonstrați că $M N P D$ este trapez isoscel.

See Solution

Problem 4796

What is the slope of the line? A) $\frac{5}{3}$ (B) $\frac{3}{5}$ (C) $-\frac{5}{3}$ (D) $-\frac{3}{5}$

See Solution

Problem 4797

Which best describes the triangle? obtuse and isosceles acute and scalene right and isosceles acute and isosceles

See Solution

Problem 4798

quatriateral below. Answer Attempt 1 out of 2 90° pon that most specifically applies to the 90° 23 15 15 90° 23 The quadrilateral is most specifically a 90° V because

See Solution

Problem 4799

Instructions:
1. Answer the following questions by solving the required.
2. Show all solutions.
3. Draw a box around your final answers.
Format: Short Bond Paper with 1" Margin (Use specified color) Submission: December 5, 2024 RUBRICS \begin{tabular}{|c|l|} \hline POINTS & CRITERIA \\ \hline 10 & \begin{tabular}{l} The student presents correct, complete, neat, and well-organized solutions and \\ answers. \end{tabular} \\ \hline 6 & The student demonstrates at least $50 \%$ of the correct solution. \\ \hline 3 & \begin{tabular}{l} The student applies the correct methodology and concepts to approach the \\ problem but largely fails to provide a correct solution. \end{tabular} \\ \hline 0 & \begin{tabular}{l} The student either fails to provide a solution or applies inappropriate methods and \\ incorrect concepts in attempting to solve the problem. \end{tabular} \\ \hline \end{tabular}
1. Solve for the volume of a prism whose base is a trapezoid with upper base 3 times the length of the lower base and an altitude which is 4 times the length of the lower base.
2. Given a right circular cylinder whose volume is a $256 \pi$ and an altitude of 4 times the radius of the base, find the lateral surface area.
3. A circle with perimeter $8 \pi$ is rotated to create a sphere. Determine the surface area and volume of the circle.
4. A frustum from a right circular cone has an upper diameter of 5 cm , bottom diameter of 11 cm and an altitude of 4 cm . Determine the lateral surface area and the volume of the frustum.

See Solution

Problem 4800

$\text{Solve for the volume of a prism whose base is a trapezoid with upper base 3 times the length of the lower base and an altitude which is 4 times the length of the lower base.}$

See Solution

Geometry

Problem 4701

Identify the true property of quadrilaterals from these options: 1. 4 curved sides 2. 3 dimensions 3. 4 corners (vertices) 4. 4 curved edges.

Problem 4702

Find m∠NFEm \angle N F Em∠NFE given m∠GFN=4x+10m \angle G F N=4x+10m∠GFN=4x+10, m∠NFE=14x+3m \angle N F E=14x+3m∠NFE=14x+3, and m∠GFE=157∘m \angle G F E=157^{\circ}m∠GFE=157∘.

Problem 4703

Find m∠IHGm \angle I H Gm∠IHG given m∠ZHG=11x−1m \angle Z H G=11 x-1m∠ZHG=11x−1, m∠IHZ=24∘m \angle I H Z=24^{\circ}m∠IHZ=24∘, and m∠IHG=12x+13m \angle I H G=12 x+13m∠IHG=12x+13.

Problem 4704

Find xxx if m∠GFZ=38∘m \angle G F Z=38^{\circ}m∠GFZ=38∘, m∠ZFE=2x+125m \angle Z F E=2x+125m∠ZFE=2x+125, and m∠GFE=x+163m \angle G F E=x+163m∠GFE=x+163.

Problem 4705

Find the perimeter and area of a trapezoid with bases 13.4 and 14.7 units, and height 11.2 units. Round area to the nearest tenth.

Problem 4706

Find m∠HIWm \angle H I Wm∠HIW given m∠WIJ=10xm \angle W I J=10 xm∠WIJ=10x, m∠HIJ=145∘m \angle H I J=145^{\circ}m∠HIJ=145∘, and m∠HIW=2x+13m \angle H I W=2 x+13m∠HIW=2x+13.

Problem 4707

Find the perimeter and area of a triangle with height 11.2, sides 14.7, 13.4, and base 13.4. Round area to nearest tenth.

Problem 4708

Find m∠FGHm \angle F G Hm∠FGH given m∠FGB=105∘m \angle F G B=105^{\circ}m∠FGB=105∘ and m∠BGH=54∘m \angle B G H=54^{\circ}m∠BGH=54∘.

Problem 4709

Find m∠WVUm \angle W V Um∠WVU given m∠ZVU=62∘m \angle Z V U=62^{\circ}m∠ZVU=62∘ and m∠WVZ=50∘m \angle W V Z=50^{\circ}m∠WVZ=50∘.

Problem 4710

Find the measure of angle GHIGHIGHI given that m∠GHC=60∘m \angle GHC = 60^{\circ}m∠GHC=60∘ and m∠CHI=104∘m \angle CHI = 104^{\circ}m∠CHI=104∘.

Problem 4711

Find m∠LMNm \angle L M Nm∠LMN if m∠FMN=99∘m \angle F M N=99^{\circ}m∠FMN=99∘ and m∠LMF=36∘m \angle L M F=36^{\circ}m∠LMF=36∘.

Problem 4712

Identify the statement that is NOT true for parallelograms: 1. All angles are right angles.2. Consecutive angles are supplementary.3. Opposite sides are congruent.4. Opposite angles are congruent.

Problem 4713

Find the scale factor from Polygon A (sides 2.5, 2.5, 1.5) to Polygon B (side 5) using the formula: scale factor = side in Bcorresponding side in A\frac{\text{side in B}}{\text{corresponding side in A}}corresponding side in Aside in B​.

Problem 4714

One angle is 66∘66^{\circ}66∘, and the third angle is 57∘57^{\circ}57∘ more than half the second angle. Find the second and third angles.

Problem 4715

Graph the equations: y=34x−2y=\frac{3}{4} x-2y=43​x−2 and y=−34x−8y=-\frac{3}{4} x-8y=−43​x−8. Use point and line tools to plot.

Problem 4716

Two similar triangles have sides 7x7x7x and 707070 for the first, and 120120120 and 606060 for the second. Find xxx.

Problem 4717

Solve for lll in the perimeter formula of a rectangle: p=2l+2wp=2 l+2 wp=2l+2w. What is the expression for lll?

Problem 4718

A room is 6 m longer than wide, with a perimeter of 36 m. Find the length and width of the room.

Problem 4719

A room is 3 times longer than wide with a perimeter of 64 m. Find the length and width in meters.

Problem 4720

Find the distance, midpoint, and slope of the line between points (2,−2)(2,-2)(2,−2) and (5,2)(5,2)(5,2).

Problem 4721

Calculate the area of a triangle with base 10m and height 8m using Area=12⋅base⋅heightArea = \frac{1}{2} \cdot base \cdot heightArea=21​⋅base⋅height.

Problem 4722

Classify the shape: opposite sides are parallel, all sides congruent, vertices not necessarily right angles. Options: Square, Rectangle, Rhombus, Parallelogram.

Problem 4723

Find the width of a 70" TV with a 16:9 aspect ratio. Options: 80.33′′80.33^{\prime \prime}80.33′′, 39.4′′39.4^{\prime \prime}39.4′′, 61′′61^{\prime \prime}61′′, 44.8′′44.8^{\prime \prime}44.8′′.

Problem 4724

Identify a real-life situation that involves a quadrilateral: inflating a balloon, tiling a floor, building a pyramid, or baking a cake?

Problem 4725

Find the acute angle xxx that the long diagonal of the parallelogram makes with Bridge Road, given 120∘120^{\circ}120∘ and 25∘25^{\circ}25∘.

Problem 4726

How long will it take George to mop a 95ft95 \mathrm{ft}95ft by 50ft50 \mathrm{ft}50ft gym floor if he mops 34ft234 \mathrm{ft}^{2}34ft2 per minute?

Problem 4727

Find the actual dimensions of a pool from a drawing where 1 cm1 \mathrm{~cm}1 cm equals 1 m1 \mathrm{~m}1 m. Also, compare a new scale of 1 cm1 \mathrm{~cm}1 cm to 2 m2 \mathrm{~m}2 m.

Problem 4728

Which park map is larger: 1 inch to 1,000 feet or 1 inch to 500 feet? Explain your reasoning.

Problem 4729

Find the distance from home plate to second base on a square baseball diamond with 86-foot sides. Express in radical form and decimal.

Problem 4730

Is Han correct that a restaurant with an area of 60in260 \mathrm{in}^260in2 corresponds to 720ft2720 \mathrm{ft}^2720ft2 on a 1 inch to 12 feet scale? A) Disagree B) Agree. Explain.

Problem 4731

Quadrilateral A has sides 6,9,9,126, 9, 9, 126,9,9,12. Quadrilateral B is a scaled copy with shortest side 2. Find the perimeter of B.

Problem 4732

Scale a polygon with sides 3, 1, 2, 1, and 2 units to a perimeter of 30 units. Find the scale factor and explain your reasoning.

Problem 4733

An angle drawn in standard position can be any number of degrees must be less than 90∘90^{\circ}90∘ must be less than 360∘360^{\circ}360∘ must be less than 180∘180^{\circ}180∘

Problem 4734

Problem 4735

Problem 4736

Problem 4737

The diagram shows a triangle.What is the value of sss ? s=□∘s=\square^{\circ}s=□∘

Problem 4738

The diagram shows a triangle.What is the value of uuu ? u=u=u=

Problem 4739

7 A rectangular yard is 18 feet long. The area of the yard is 400.5 square feet. What is the width of the yard? Explain.

Problem 4740

Problem 4741

Problem 4742

Problem 4743

Identify the true property of quadrilaterals from these options:
1. 4 curved sides
2. 3 dimensions
3. 4 corners (vertices)
4. 4 curved edges.

Find $m \angle N F E$ given $m \angle G F N=4x+10$ , $m \angle N F E=14x+3$ , and $m \angle G F E=157^{\circ}$ .

Find $m \angle I H G$ given $m \angle Z H G=11 x-1$ , $m \angle I H Z=24^{\circ}$ , and $m \angle I H G=12 x+13$ .

Find $x$ if $m \angle G F Z=38^{\circ}$ , $m \angle Z F E=2x+125$ , and $m \angle G F E=x+163$ .

Find $m \angle H I W$ given $m \angle W I J=10 x$ , $m \angle H I J=145^{\circ}$ , and $m \angle H I W=2 x+13$ .

Find $m \angle F G H$ given $m \angle F G B=105^{\circ}$ and $m \angle B G H=54^{\circ}$ .

Find $m \angle W V U$ given $m \angle Z V U=62^{\circ}$ and $m \angle W V Z=50^{\circ}$ .

Find the measure of angle $GHI$ given that $m \angle GHC = 60^{\circ}$ and $m \angle CHI = 104^{\circ}$ .

Find $m \angle L M N$ if $m \angle F M N=99^{\circ}$ and $m \angle L M F=36^{\circ}$ .

Identify the statement that is NOT true for parallelograms:
1. All angles are right angles.
2. Consecutive angles are supplementary.
3. Opposite sides are congruent.
4. Opposite angles are congruent.

Find the scale factor from Polygon A (sides 2.5, 2.5, 1.5) to Polygon B (side 5) using the formula: scale factor = $\frac{\text{side in B}}{\text{corresponding side in A}}$ .

One angle is $66^{\circ}$ , and the third angle is $57^{\circ}$ more than half the second angle. Find the second and third angles.

Graph the equations: $y=\frac{3}{4} x-2$ and $y=-\frac{3}{4} x-8$ . Use point and line tools to plot.

Two similar triangles have sides $7x$ and $70$ for the first, and $120$ and $60$ for the second. Find $x$ .

Solve for $l$ in the perimeter formula of a rectangle: $p=2 l+2 w$ . What is the expression for $l$ ?

Find the distance, midpoint, and slope of the line between points $(2,-2)$ and $(5,2)$ .

Calculate the area of a triangle with base 10m and height 8m using $Area = \frac{1}{2} \cdot base \cdot height$ .

Find the width of a 70" TV with a 16:9 aspect ratio. Options: $80.33^{\prime \prime}$ , $39.4^{\prime \prime}$ , $61^{\prime \prime}$ , $44.8^{\prime \prime}$ .

Find the acute angle $x$ that the long diagonal of the parallelogram makes with Bridge Road, given $120^{\circ}$ and $25^{\circ}$ .

How long will it take George to mop a $95 \mathrm{ft}$ by $50 \mathrm{ft}$ gym floor if he mops $34 \mathrm{ft}^{2}$ per minute?

Find the actual dimensions of a pool from a drawing where $1 \mathrm{~cm}$ equals $1 \mathrm{~m}$ . Also, compare a new scale of $1 \mathrm{~cm}$ to $2 \mathrm{~m}$ .

Is Han correct that a restaurant with an area of $60 \mathrm{in}^2$ corresponds to $720 \mathrm{ft}^2$ on a 1 inch to 12 feet scale? A) Disagree B) Agree. Explain.

Quadrilateral A has sides $6, 9, 9, 12$ . Quadrilateral B is a scaled copy with shortest side 2. Find the perimeter of B.

An angle drawn in standard position can be any number of degrees must be less than $90^{\circ}$ must be less than $360^{\circ}$ must be less than $180^{\circ}$

The diagram shows a triangle.
What is the value of $s$ ? $s=\square^{\circ}$

The diagram shows a triangle.
What is the value of $u$ ? $u=$

The graph of $y=f(x)$ is shown below. According to the graph, what is $f(-$
Answer 5 1 0 $-5$

i 0 C.
The equation of Line $A$ is $y=-\frac{1}{3} x+4$ . The graph of Line $B$ is parallel to Line $A$ and passes through the point $(3,5)$ . Graph the two lines. A. B. D.

3. Select all true statements.
Circle A
Circle B
Circle C A. Circle A has a circumference of $\pi$ . B. Circle B has a circumference of $\pi$ . C. Circle B has an area of $\pi$ . D. Circle C has an area of $\pi$ .

1 2 3 4 5
Find the distance between the points $(-5,-4)$ and $(-2,-4)$ .
Distance: $\square$

Find the value of $f(9)$ .
Answer Attempt 2 out of 2 $\square$ Submit Answer

3. (15 pts) Given is that $A=38^{\circ}$ and $b=19 \mathrm{~cm}$ and $c=22 \mathrm{~cm}$ . Solve the triangle $A B C$ . Round measures to 1 decimal place if necessary.

$\text{Slope} = \frac{5}{3}$
$\text{Slope} = \frac{-4}{2}$

Graph the folloing $\left\{\begin{array}{l} y>x-2 \\ y \leq 3 x-2 \end{array}\right.$

7. This exercise is about the simultaneous equations $\begin{array}{c} x+3 y=3 \\ x+y=5 \end{array}$ a) Graph the two equations on one pair of axes.

Find the angle $\theta$ between the vectors $\mathbf{v}=2 \mathbf{i}+\mathbf{k}, \mathbf{w}=\mathbf{j}-3 \mathbf{k}$ . $\theta=$ $\square$ degrees
Preview My Answers Submit Answers Your score was recorded. You have attempted this problem 1 time.

Find the angle $\theta$ between the vectors $\mathbf{v}=4 \mathbf{i}-\mathbf{j}+\mathbf{k}, \mathbf{w}=2 \mathbf{i}+3 \mathbf{j}+5 \mathbf{k}$ . $\theta=$ $\square$ degrees

Find the distance between P and Q . $P(-1,1), Q(-6,-11)$ 26 14 169 13 None of these answers

Choose ALL answers that describe the polygon $D E F G$ if $D E=E F=F G=G D$ .
Answer Attempt 2 out of 3 Parallelogram Quadrilateral Rectangle Rhombus Square Trapezoid Submit Answer

Graph the solution set of the following system of inequalities. $\begin{array}{r} 3 x+6 y \leq 6 \\ 3 x+y \leq 6 \end{array}$

Triangle $D E F$ is formed by connecting the midpoints of the side of triangle $A B C$ . The lengths of the sides of triangle $A B C$ are shown. Find the perimeter of triangle $D E F$ . Figures not necessarily drawn to scale.

Triangle $U V W$ is formed by connecting the midpoints of the side of triangle RST. The lengths of the sides of triangle $R S T$ are shown. What is the length of $\overline{W V}$ ? Figures not necessarily drawn to scale.

What is the slope of this line?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Which of the following sets of numbers could represent the three sides of a triangle?
Answer $\{13,25,40\}$ $\{10,16,25\}$ Submit Answer $\{6,18,25\}$ $\{13,22,35\}$