Geometry

Problem 4101

A regular pentagon is shown below. Line $g$ passes through a vertex and bisects a side. Line $h$ passes through two vertices. Point $Y$ is the center of the pentagon.
Which transformation(s) must map the pentagon exactly onto itself? Choose all that apply. Reflection across line $g$ Reflection across line $h$ Counterclockwise rotation about $Y$ by $288^{\circ}$ Clockwise rotation about $Y$ by $60^{\circ}$ None of the above Explanation Check

See Solution

Problem 4102

An equilateral triangle is shown below. Line $m$ passes through a vertex and bisects a side. Line $n$ bisects each side it passes through. Point $Y$ is the center of the triangle.
Which transformation(s) must map the triangle exactly onto itself? Choose all that apply. Counterclockwise rotation about $Y$ by $120^{\circ}$ Reflection across line $m$ Clockwise rotation about $Y$ by $360^{\circ}$ Reflection across line $n$ None of the above

See Solution

Problem 4103

A regular pentagon is shown below. Line $c$ bisects each side it passes through. Line $d$ passes through a vertex and bisects a side. Point $X$ is the center of the pentagon.
Which transformation(s) must map the pentagon exactly onto itself? Choose all that apply. Clockwise rotation about $X$ by $120^{\circ}$ Reflection across line $d$ Reflection across line $c$ Counterclockwise rotation about $X$ by $180^{\circ}$ None of the above Explanation Check

See Solution

Problem 4104

An equilateral triangle is shown below. Line $m$ passes through a vertex and bisects a side. Line $n$ bisects each side it passes through. Point $P$ is the center of the triangle.
Which transformation(s) must map the triangle exactly onto itself? Choose all that apply. Reflection across line $n$ Reflection across line $m$ Clockwise rotation about $P$ by $360^{\circ}$ Counterclockwise rotation about $P$ by $240^{\circ}$ None of the above Explanation Check

See Solution

Problem 4105

In the coordinate plane, the point $A(-2,2)$ is translated to the point $A^{\prime}(0,3)$ . Under the same translation, the points $B(1,5)$ and $C(-5,0)$ are translated to $B^{\prime}$ and $C^{\prime}$ , respectively. What are the coordinates of $B^{\prime}$ and $C^{\prime}$ ? B. (1) c.(1)

See Solution

Problem 4106

5. $\angle L J B$ and $\angle I J M$ are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

See Solution

Problem 4107

EXERCICE 3: ABC un triangle rectangle en B tel que $\mathrm{BC}=3,5 \mathrm{~cm}$ M le symétrique de $\mathbf{B}$ par rapport à ( AC ).soit $\mathbf{O}$ appartiennent a ( AB ) 1) Construire une figure convenable aux données 2) Déterminer .en justifiant, la longucur MC 3) Démontrer que le triangle MAC est rectangle en M. 4) Construire le point J symétrique de point O par rapport a (AC)
Démontrer que les points $\mathbf{A}, \mathbf{J}$ et $\mathbf{M}$ sont alignés.

See Solution

Problem 4108

3. $\triangle D E F$ has vertices at $D(8,-2), E(1,-3)$ , and $F(9,-9)$ . Use special segments to determine if $E F$ is the base of an isosceles triangle. $\rho(8,-2)$

See Solution

Problem 4109

Runde 1 1 a) Bestimmen sie eine Parameter- und eine Koordinatengleichung der Ebene, in der di Punkie $A(2|5| 1), B(0|-1| 3)$ und $C(7|2| 5)$ liegen. b) Untersuchen Sie, ob der Punkt $P(4|4|-3)$ in der Ebene $E: x_{1}-x_{2}+2 x_{3}=5 \mathrm{bzW}$ . in cler Eberse $F: \vec{x}=\left(\begin{array}{r}1 \\ 0 \\ -1\end{array}\right)+r \cdot\left(\begin{array}{l}4 \\ 2 \\ 1\end{array}\right)+s \cdot\left(\begin{array}{r}1 \\ -2 \\ 3\end{array}\right)$ liegt.

See Solution

Problem 4110

Find the area of this trapezoid. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas.

See Solution

Problem 4111

Answer Attempt 1 out of 2
Estimated length of $\overline{Q S}=4.3 \mathrm{~cm}$ The actual length of $\overline{Q S}=$ $\square$ cm (round to 3 decimal places)

See Solution

Problem 4112

Answer Attempt 2 out of 2
Estimated length of $\overline{Q S}=4.3 \mathrm{~cm}$ The actual length of $\overline{Q S}=$ $\square$ cm (round to 3 decimal places)

See Solution

Problem 4113

Answer Attempt 1 out of 2
Estimated length of $\overline{A B}=9.2 \mathrm{~cm}$ The actual length of $\overline{A B}=$ $\square$ cm (round to 3 decimal places)

See Solution

Problem 4114

Answer Attempt 1 out of 2 Estimated length of $\overline{W X}=7.5 \mathrm{~cm}$ The actual length of $\overline{W X}=$ $\square$ cm (round to 3 decimal places)

See Solution

Problem 4115

Triangle $A B C$ is dilated to produce triangle $A^{\prime} B^{\prime} C^{\prime}$ .
Determine the scale factor used to create the image. $\frac{1}{3}$

See Solution

Problem 4116

Find the value of $x$ . $x=$ Previous

See Solution

Problem 4117

$3 / 4$ The uniform beam has a mass of 50 kg per meter of length. Determine the reactions at the supports.
Problem $3 / 4$

See Solution

Problem 4118

) 嚆, What is the area of the shaded region?
「脐」 $\square$ square kilometers Submit

See Solution

Problem 4119

9. Un rectangle mesure $3,9 x$ de large sur $5 x$ de long. Quelle est l'aire de ce rectangle?

See Solution

Problem 4120

What are the corresponding parts of the figures below? Select all that apply. $\angle B \cong \angle L$ $\angle A \cong \angle L$ $\angle B \cong \angle M$ $\overline{B A} \cong \overline{K L}$ Submit

See Solution

Problem 4121

Find the total perimeter of each shape to two decimal places. (a) (b) $=10^{+}+\frac{10}{4} \times \pi$

See Solution

Problem 4122

The radius of a garbage can is 7 inches. Which expression can be used to find the garbage can's circumference in inches? CLEAR CHECK $2 \cdot \pi \cdot 7$ $\pi \cdot 7^{2}$

See Solution

Problem 4123

The polygon circumscribes a circle. What is the perimeter of the polygon?
The perimeter of the polygon is $\square$ cm .

See Solution

Problem 4124

Calculate the distance between the points $F=(-4,4)$ and $G=(-1,9)$ in the coordinate plane. Give an exact answer (not a decimal approximation).
Distance: $\square$

See Solution

Problem 4125

12 Find the scale factor for the following pairs of similar figures, and find the value of $x$ . a b

See Solution

Problem 4126

What are the corresponding parts of the figures below? Select all that apply. $\angle E \cong \angle W$ $\overline{C D} \cong \overline{U V}$ $\overline{E B} \cong \overline{W T}$ $\overline{D E} \cong \overline{V W}$

See Solution

Problem 4127

Complete the congruence statement. $\triangle F E G \cong \triangle$ $\square$ Submit
Work it out Not feeling ready yet? These can help:

See Solution

Problem 4128

Find the perimeter of the rectangle. Express the perimeter using the same unit of measure that appears on the given sides.
The perimeter of the rectangle is $\square$ $\square$

See Solution

Problem 4129

Find the sum of the measures of the angles of a four-sided polygon.

See Solution

Problem 4130

Find the perimeter of the trapezoid shown below

See Solution

Problem 4131

Find the midpoint of the line segment with the given endpoints. $(2,8) \text { and }(4,6)$
The midpoint of the segment is . $\square$ (Type an ordered pair.)

See Solution

Problem 4132

Use the model to find 99.6.7. First, fill in the area of each rectangle.
Then find the total area

See Solution

Problem 4133

What rotation must the driver gear make for gear $A$ to rotate $90^{\circ}$ clockwise? Explain how you found your answer.
If gear A rotates $90^{\circ}$ , then it turns through $\square$ teeth on the gear. This corresponds to $\square$ teeth on the driver gear, which has 16 teeth in total. So, the driver gear must make a rotation of $\square$ $\square$ (Type whole numbers.)

See Solution

Problem 4134

Write the standard form of the equation of the circle with the given center and radius. Center $(-4,-5), r=\sqrt{2}$
The equation of the circle in standard form is $\square$ (Simplify your answer.)

See Solution

Problem 4135

If two angles are supplementary, then one of the angles must be obtuse. Which image provides a counterexample to this statement? A. B. C. D.

See Solution

Problem 4136

Un poisson dans un lac voit un disque lumineux à la surface (indice $n=1.33$ ).
1) Expliquez pourquoi.
2) Si le rayon du disque est $r=3.0$ m, quelle est la profondeur du poisson ?

See Solution

Problem 4137

Find which point among A. $(-9,-65)$ , B. $(-1,7)$ , C. $(0,8)$ , D. $(-2,12)$ , E. $(7,17)$ lies on the line through $(-3,13)$ and $(3,-5)$ .

See Solution

Problem 4138

Find the side lengths of a square with a perimeter between 182 and 198 inches using $P=4s$ . Express in interval notation.

See Solution

Problem 4139

Describe the Span $\{\mathbf{v}_{1}, \mathbf{v}_{2}\}$ for $\mathbf{v}_{1}=\begin{bmatrix}4 \\ 10 \\ -2\end{bmatrix}$ and $\mathbf{v}_{2}=\begin{bmatrix}10 \\ 25 \\ -5\end{bmatrix}$ . Choose A, B, C, or D.

See Solution

Problem 4140

Find the value(s) of $h$ so that the vector $b = \left[\begin{array}{r}4 \\ -9 \\ h\end{array}\right]$ lies in the plane spanned by $a_{1} = \left[\begin{array}{r}1 \\ 3 \\ -1\end{array}\right]$ and $a_{2} = \left[\begin{array}{r}-6 \\ -11 \\ 2\end{array}\right]$ . The value(s) of $h$ is(are) $\square$ .

See Solution

Problem 4141

Find the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people/mi².

See Solution

Problem 4142

Find the lengths of the sides of an isosceles triangle with a perimeter of 182 feet and the shortest side 40 feet shorter.

See Solution

Problem 4143

Determine the center and radius of the circle given by $x^{2}+12x+y^{2}-4y+15=0$ . Choose the correct option.

See Solution

Problem 4144

Find the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

See Solution

Problem 4145

Find the range of side lengths $s$ for a square with perimeter $P$ such that $102 < P < 138$ . Express in interval notation.

See Solution

Problem 4146

Explain the relationship between the graphs of $g(x) = x^{2} + 1$ and $f(x) = x^{2}$ .

See Solution

Problem 4147

Find $m \angle XYW$ and $m \angle WYZ$ if they are complementary to $m \angle XYZ=117^{\circ}$ .

See Solution

Problem 4148

Find the measures of angles $XYW$ and $WYZ$ if $m \angle XYZ = 117^{\circ}$ and they are supplementary.

See Solution

Problem 4149

Graph the functions $f(x)=\sqrt{x}$ and $g(x)$ for given $x$ values. Describe the relationship between $f$ and $g$ .

See Solution

Problem 4150

Find the slope $m$ between the points $(10,-6.5)$ and $(0,-1.5)$ .

See Solution

Problem 4151

Find the area of a scale drawing of a parallelogram where the scale is $10 \mathrm{~cm}$ for every $8 \mathrm{~m}$ on the sculpture. Base: $4.2 \mathrm{~m}$ , heights: $5 \mathrm{~m}$ and $6 \mathrm{~m}$ .

See Solution

Problem 4152

Plot the point $(-\frac{3}{2}, -\frac{9}{2})$ on a coordinate plane.

See Solution

Problem 4153

Find points A, B, and C on $y=\frac{\sqrt{3}}{6} x^{2}$ such that $\angle OPA = \angle OPB = 30^{\circ}$ and $\angle ABC = 60^{\circ}$ .

See Solution

Problem 4154

原点Oと点P(-3/2, 0)があり、曲線 $y=\frac{\sqrt{3}}{6} x^{2}$ 上の点A, B, Cを求める問題。 (1) A, B, Cの座標 (2) 円の中心座標 (3) Bの接線の式 (4) Bのみが両方にあることを示せ。

See Solution

Problem 4155

正十二面体の頂点 $\mathrm{O}, \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ に関する問題です。 (1) 点 $\mathrm{O}$ と平面 $\mathrm{P}$ の距離を証明せよ。 (2) 点 $\mathrm{O}$ を含む立体の体積を求めよ。

See Solution

Problem 4156

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med $\pi=3$ .

See Solution

Problem 4157

Beregn arealet for rektangler med dimensjoner: (3,3), (2,2), (9,4), (10,10).

See Solution

Problem 4158

Find the vectors $\overrightarrow{P Q}$ and $\overrightarrow{P R}$ for points $P(-2,1)$ , $Q(5,3)$ , and $R(x,y)$ .

See Solution

Problem 4159

Find the length of each of the two equal sides in a 5-sided figure with a perimeter of 45.56 m and other sides summing to 24.2 m.

See Solution

Problem 4160

Find $\frac{a}{b} + \frac{c}{d}$ where $a$ is the circumscribed circle radius, $b$ is the inscribed circle radius, $c$ is the larger square side, and $d$ is the smaller square side.

See Solution

Problem 4161

Calculate the area of a ring with inner radius 18m and outer radius 22m. Use the formula for area: $A = \pi(R^2 - r^2)$ .

See Solution

Problem 4162

Calculate the area of a circle with radius 18: $\pi \cdot 18^{2}=$

See Solution

Problem 4163

Find the area of a rug measuring 8 ft by 12 ft and the cost per square foot if it costs \$ 590. Round to the nearest cent.

See Solution

Problem 4164

A cube with side $5.3 \mathrm{~cm}$ has a volume of $V$ and mass of 280g. Find density and determine if it floats in water.

See Solution

Problem 4165

Determine symmetry of the following equations: 17. $y=x^{2}+6$ , 19. $x=y^{2}+6$ , 18. $y=x^{2}-2$ , 21. $y^{2}=x^{2}+6$ , 20. $x=y^{2}-2$ , 23. $y=2x+3$ , 22. $y^{2}=x^{2}-2$ , 25. $x^{2}-y^{3}=2$ , 24. $y=2x+5$ , 27. $x^{2}+y^{2}=100$ , 26. $x^{3}-y^{2}=5$ , 28. $x^{2}+y^{2}=49$ .

See Solution

Problem 4166

Determine the line equation that goes through points $P=(1,4)$ and $Q=(-1,-4)$ .

See Solution

Problem 4167

Find the area of a circle centered at the origin with radius 15 using $\pi \approx 3.14$ . Options: A. 47.1 B. 94.2 C. 225 D. 706.5 E. 2826

See Solution

Problem 4168

Find the radius of a circle with a circumference of $30 \mathrm{~cm}$ . Options: A. $2 \pi$ , B. $\frac{15}{\pi}$ , C. $\frac{30}{\pi}$ , D. 15, E. 30.

See Solution

Problem 4169

Identify the properties of isosceles triangles: all sides congruent, none congruent, two sides congruent, angles $60^{\circ}$ , none congruent, two angles congruent.

See Solution

Problem 4170

What is the horizontal change between two points on a line? A. Run B. Rise C. Height D. Altitude

See Solution

Problem 4171

A rectangular photo frame is 28 inches tall and has an area of 280 square inches. How wide is the photo frame?

See Solution

Problem 4172

Find the midpoint of the line segment joining the points $R(-2,3)$ and $S(4,6)$ .
The midpoint is $\square$ (Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)

See Solution

Problem 4173

(c) You are given the point $(3,2)$ in polar coordinates. (i) Find another pair of polar coordinates for this point such that $r>0$ and $2 \pi \leq \theta<4 \pi$ . $r=$ $\theta=$ (ii) Find another pair of polar coordinates for this point such that $r<0$ and $0 \leq \theta<2 \pi$ . $\begin{array}{c} r= \\ \theta= \end{array}$

See Solution

Problem 4174

Graph the points $A(2,-3), B(7,-8), C(9,-6)$ , and $D(4,-1)$ . Draw rectangle $A B C D$ and diagonals $\overline{A C}$ and $\overline{B D}$ . a. Find the midpoints of $\overline{A C}$ and $\overline{B D}$ . b. What appears to be true about the diagonals of a rectangle? a. The midpoint of $\overline{\mathrm{AC}}$ is $\left(\frac{11}{2}, \frac{-9}{2}\right)$ . (Type an ordered pair.)
The midpoint of $\overline{B D}$ is $\square$ . (Type an ordered pair.) Clear all

See Solution

Problem 4175

2 Quadrilateral QRST is transformed by the rule $(x, y) \rightarrow(-x, y)$ to create quadrilateral $Q^{\prime} R^{\prime} S^{\prime} T^{\prime}$ . a) How are the corresponding side lengths affected by the transformation?
The Corresponaling b) How are the corresponding angles affected by the transformation? $\qquad$ continue $\qquad$ d) How is the area of the quadrilateral affected? e) How is the perimeter of the quadrilateral affected?

See Solution

Problem 4176

A sphere of radius 2 inches is cut by three planes passing through its center. This partitions the solid into 8 equal parts, one of which is shown. The volume of each part is $t \pi$ cubic inches. What is the value of $t$ ?

See Solution

Problem 4177

2 Quadrilateral QRST is transformed by the rule $(x, y) \rightarrow(-x, y)$ a) How are the corresponding side lengths affected by the transformation?
The Corresponaling b) How are the corresponding angles affected by the transformation? $\qquad$ De c) How is the orientation of the quadrilateral affected? $\qquad$ reversed d) How is the area of the quadrilateral affected? e) How is the perimeter of the quadrilateral affected?

See Solution

Problem 4178

Work the problem, type the correct answer into the blue box below, and choose the correct unit from the dropdown beside it. (round answer to one decimal place)
How much water will it take to fill a water line for pressure testing if the line has a diameter of 18 inches and is 480 feet long? $\square$ Select the unit

See Solution

Problem 4179

See year lavels
What is the area of this figure?

See Solution

Problem 4180

What is the area of this figure?

See Solution

Problem 4181

The length of the longer leg of a right triangle is 19 cm more than five times the length of the shorter leg. The length of the hypotenuse is 20 cm more than five times the length of the shorter leg. Find the side lengths of the triangle.
Length of the shorter leg: $\square$ cm
Length of the longer leg: $\square$ cm Length of the $\square$ cm hypotenuse: 5

See Solution

Problem 4182

4 Two Squares are shown. Find the area and perimeter of each. $\begin{array}{c} P=\ldots \text { units } \\ A=\quad \text { square units } \end{array}$ a) The perimeter increased by a factor of $\qquad$ . b) The area increased by a factor of $\qquad$

See Solution

Problem 4183

$(x+3)^{2}+(y-4)^{2}=9$
A circle in the $x y$ -plane has the equation shown. If the $x$ -coordinate of a point on the circle is -3 , what is a possible corresponding $y$ -coordinate? $\square$

See Solution

Problem 4184

Select the correct choice that completes the sentence below. The vertical line through the vertex of a parabola that opens upward or downward is the $\square$ of the parabola. The two halves of the parabola are $\square$ images of each other across this line. Clear all Final chest

See Solution

Problem 4185

2 The coordinate grid shows triangle $P Q R$ . 8.10ABD. 3
Triangle $P Q R$ is rotated $270^{\circ}$ clockwise about the origin to create triangle $P^{\prime} Q^{\prime} R^{\prime}$ . Choose the correct answer from each drop-down menu to complete the statements.
The side lengths of triangle $P^{\prime} Q^{\prime} R^{\prime}$ are $\square$ to the corresponding side lengths of triangle $P Q R$ . $\checkmark$ equal not equal
The angle measures of triangle $P^{\prime} Q^{\prime} R^{\prime}$ are $\square$ to the corresponding angle measures of triangle $P Q R$ . congruent not congruent 03034 N 至

See Solution

Problem 4186

Name the intersection of line $m$ and line $t$ or write no intersection. $\square$

See Solution

Problem 4187

Narese $\qquad$ Oate
8. 10ABD Module Assessment 1
1 Thangle Efis strown on the coordinate grid. The quadrilateral is rellectel across the $y$ -axis to crate triangle EfG: Q.10480. 2
Which statement is true? A Triangle E'F G' is congruent to triangle EFG. 8 The area of triangle E'FG is greater than the area of triangle EFG. C The permeter of triangle $E^{\prime} F^{\prime} G^{\prime}$ is less than the perimeter of triangle EFG. D The angle measures of triangle E'F'G' are not congruent to the angle measures of triangle EFG.

See Solution

Problem 4188

Given: $Y Z=11$ and $X Z=38$ Find the length of $\overline{X Y}$ . XY = $\square$

See Solution

Problem 4189

10 Quadrilateral $A B C D$ is reflected over the $x$ -axis to create quadritateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ . Which statement is true? 8.10ABD. 2
F The area of quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is greater than the area of quadrilateral $A B C D$ .
G Quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ is not congruent to quadrilateral $A B C D$ . H The perimeter of quadrimateral $A^{\prime} B^{\prime \prime} C^{\prime} D^{\prime}$ is greater than the perimeter of quadritateral ABCD.
3 The corresponding side lengths of quadrilateral $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ are equal to the corresponding side lengths of quadrilateral $A B C D$ .

See Solution

Problem 4190

3 fentagan JKLMN was transtated 8 unlits to the left and 7 units up to creatre pentagon Jok M'N: Which rule describes this transformation? A The perimeter of pentagon JKL'M"N" is grater than the perimeter of pentagon JKLMN. (3) The area of pentagon J'K' 'MN' is less than the area of pentagon JKLMN.
C The angle measures of pentagon J'K'L M'N' are not congruent to the corresponding angle measures of pentagon JKLMN.
D The orientation of the vertices of pentagon $J^{\prime} K L^{\prime} M^{\prime} N^{\prime}$ Is the same as the orientation of the vertices of pentagon JKLMN.

See Solution

Problem 4191

The axis of symmetry of a parabola is always parallel to the directrix. True False

See Solution

Problem 4192

Three non-collinear points $\left(x_{1}, y_{1}\right),\left(x_{2}, y_{2}\right)$ , and $\left(x_{3}, y_{3}\right)$ determine a circle because: - A. They are equidistant from the circle's center. - B. They form the radius of a circle. - C. They lie on the perpendicular bisectors of the triangle formed. - D. They define a parabola.

See Solution

Problem 4193

The vertex of a parabola is always located midway between the focus and the directrix. True False

See Solution

Problem 4194

The latus rectum of an ellipse is a line segment perpendicular to the major axis and passes through one of the foci. True False

See Solution

Problem 4195

A trapezoid has base lengths of 4 feet and 19 feet, and an area of 115 square feet. What is the height of the trapezoid?

See Solution

Problem 4196

5. Calculate the surface area of this ramp in the shape of a right triangular prism. Give your answer to the nearest tenth of a square metre

See Solution

Problem 4197

Find the perimeter and area of the figure pictured below.
Perimeter $=$ $\square$ m
Area $=$ $\square$ $\mathrm{m}^{2}$

See Solution

Problem 4198

47. To estimate the width of an archaeological mound, archaeologists place two stakes on opposite ends of the widest point. See Eigure 8.51 . They set a third stake 82 feet from one stake and 97 feet from the other stake. The angle formed is $125^{\circ}$ . Find the width of the mound.
Figure 8.51

See Solution

Problem 4199

Find the lateral area of the pyramid to the nearest whole number.

See Solution

Problem 4200

Consider $\triangle A B C$ in the figure beiow. The perpendicular bisectors of its sides are $\overline{D G}, \overline{E G}$ , and $\overline{F G}$ . They meet at a single point $G$ . (In other words, $G$ is the circumcenter of $\triangle A B C$ .) Suppose $E G=40, A F=56$ , and $A G=58$ . Find $A B, B E$ , and $C G$ . Note that the figure is not drawn to scale. $\begin{array}{l} A B=\square \\ B E=\square \\ C G=\square \end{array}$

See Solution

1 ...39 40 41 42 43 44 45 ...61

Geometry

Problem 4101

Problem 4102

Problem 4103

Problem 4104

Problem 4105

Problem 4106

5. ∠LJB\angle L J B∠LJB and ∠IJM\angle I J M∠IJM are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

Problem 4107

Problem 4108

3. △DEF\triangle D E F△DEF has vertices at D(8,−2),E(1,−3)D(8,-2), E(1,-3)D(8,−2),E(1,−3), and F(9,−9)F(9,-9)F(9,−9). Use special segments to determine if EFE FEF is the base of an isosceles triangle. ρ(8,−2)\rho(8,-2)ρ(8,−2)

Problem 4109

Problem 4110

Find the area of this trapezoid. Be sure to include the correct unit in your answer. If necessary, refer to the list of geometry formulas.

Problem 4111

Answer Attempt 1 out of 2Estimated length of QS‾=4.3 cm\overline{Q S}=4.3 \mathrm{~cm}QS​=4.3 cm The actual length of QS‾=\overline{Q S}=QS​= □\square□ cm (round to 3 decimal places)

Problem 4112

Answer Attempt 2 out of 2Estimated length of QS‾=4.3 cm\overline{Q S}=4.3 \mathrm{~cm}QS​=4.3 cm The actual length of QS‾=\overline{Q S}=QS​= □\square□ cm (round to 3 decimal places)

Problem 4113

Answer Attempt 1 out of 2Estimated length of AB‾=9.2 cm\overline{A B}=9.2 \mathrm{~cm}AB=9.2 cm The actual length of AB‾=\overline{A B}=AB= □\square□ cm (round to 3 decimal places)

Problem 4114

Answer Attempt 1 out of 2 Estimated length of WX‾=7.5 cm\overline{W X}=7.5 \mathrm{~cm}WX=7.5 cm The actual length of WX‾=\overline{W X}=WX= □\square□ cm (round to 3 decimal places)

Problem 4115

Triangle ABCA B CABC is dilated to produce triangle A′B′C′A^{\prime} B^{\prime} C^{\prime}A′B′C′.Determine the scale factor used to create the image. 13\frac{1}{3}31​

Problem 4116

Find the value of xxx. x=x=x= Previous

Problem 4117

3/43 / 43/4 The uniform beam has a mass of 50 kg per meter of length. Determine the reactions at the supports.Problem 3/43 / 43/4

Problem 4118

) 嚆, What is the area of the shaded region?「脐」 □\square□ square kilometers Submit

Problem 4119

9. Un rectangle mesure 3,9x3,9 x3,9x de large sur 5x5 x5x de long. Quelle est l'aire de ce rectangle?

Problem 4120

What are the corresponding parts of the figures below? Select all that apply. ∠B≅∠L\angle B \cong \angle L∠B≅∠L ∠A≅∠L\angle A \cong \angle L∠A≅∠L ∠B≅∠M\angle B \cong \angle M∠B≅∠M BA‾≅KL‾\overline{B A} \cong \overline{K L}BA≅KL Submit

Problem 4121

Find the total perimeter of each shape to two decimal places. (a) (b) =10++104×π=10^{+}+\frac{10}{4} \times \pi=10++410​×π

Problem 4122

The radius of a garbage can is 7 inches. Which expression can be used to find the garbage can's circumference in inches? CLEAR CHECK 2⋅π⋅72 \cdot \pi \cdot 72⋅π⋅7 π⋅72\pi \cdot 7^{2}π⋅72

Problem 4123

The polygon circumscribes a circle. What is the perimeter of the polygon?The perimeter of the polygon is □\square□ cm .

Problem 4124

Calculate the distance between the points F=(−4,4)F=(-4,4)F=(−4,4) and G=(−1,9)G=(-1,9)G=(−1,9) in the coordinate plane. Give an exact answer (not a decimal approximation).Distance: □\square□

Problem 4125

12 Find the scale factor for the following pairs of similar figures, and find the value of xxx. a b

Problem 4126

What are the corresponding parts of the figures below? Select all that apply. ∠E≅∠W\angle E \cong \angle W∠E≅∠W CD‾≅UV‾\overline{C D} \cong \overline{U V}CD≅UV EB‾≅WT‾\overline{E B} \cong \overline{W T}EB≅WT DE‾≅VW‾\overline{D E} \cong \overline{V W}DE≅VW

Problem 4127

Complete the congruence statement. △FEG≅△\triangle F E G \cong \triangle△FEG≅△ □\square□ SubmitWork it out Not feeling ready yet? These can help:

Problem 4128

Find the perimeter of the rectangle. Express the perimeter using the same unit of measure that appears on the given sides.The perimeter of the rectangle is □\square□ □\square□

Problem 4129

Find the sum of the measures of the angles of a four-sided polygon.

Problem 4130

Find the perimeter of the trapezoid shown below

Problem 4131

Find the midpoint of the line segment with the given endpoints. (2,8) and (4,6)(2,8) \text { and }(4,6)(2,8) and (4,6)The midpoint of the segment is . □\square□ (Type an ordered pair.)

Problem 4132

Use the model to find 99.6.7. First, fill in the area of each rectangle.Then find the total area

Problem 4133

Problem 4134

Write the standard form of the equation of the circle with the given center and radius. Center (−4,−5),r=2(-4,-5), r=\sqrt{2}(−4,−5),r=2​The equation of the circle in standard form is □\square□ (Simplify your answer.)

Problem 4135

If two angles are supplementary, then one of the angles must be obtuse. Which image provides a counterexample to this statement? A. B. C. D.

Problem 4136

Un poisson dans un lac voit un disque lumineux à la surface (indice n=1.33n=1.33n=1.33). 1) Expliquez pourquoi.2) Si le rayon du disque est r=3.0r=3.0r=3.0 m, quelle est la profondeur du poisson ?

Problem 4137

Find which point among A. (−9,−65)(-9,-65)(−9,−65), B. (−1,7)(-1,7)(−1,7), C. (0,8)(0,8)(0,8), D. (−2,12)(-2,12)(−2,12), E. (7,17)(7,17)(7,17) lies on the line through (−3,13)(-3,13)(−3,13) and (3,−5)(3,-5)(3,−5).

Problem 4138

Find the side lengths of a square with a perimeter between 182 and 198 inches using P=4sP=4sP=4s. Express in interval notation.

Problem 4139

Problem 4140

Problem 4141

Find the area of Chicago given its 2017 population of 2,716,450 and a density of 11,898 people/mi².

Problem 4142

Find the lengths of the sides of an isosceles triangle with a perimeter of 182 feet and the shortest side 40 feet shorter.

Problem 4143

Determine the center and radius of the circle given by x2+12x+y2−4y+15=0x^{2}+12x+y^{2}-4y+15=0x2+12x+y2−4y+15=0. Choose the correct option.

Problem 4144

Find the length of FG‾\overline{F G}FG if GGG is the midpoint of FH‾\overline{F H}FH and you know the length of FH‾\overline{F H}FH.

Problem 4145

5. $\angle L J B$ and $\angle I J M$ are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

3. $\triangle D E F$ has vertices at $D(8,-2), E(1,-3)$ , and $F(9,-9)$ . Use special segments to determine if $E F$ is the base of an isosceles triangle. $\rho(8,-2)$

Answer Attempt 1 out of 2
Estimated length of $\overline{Q S}=4.3 \mathrm{~cm}$ The actual length of $\overline{Q S}=$ $\square$ cm (round to 3 decimal places)

Answer Attempt 2 out of 2
Estimated length of $\overline{Q S}=4.3 \mathrm{~cm}$ The actual length of $\overline{Q S}=$ $\square$ cm (round to 3 decimal places)

Answer Attempt 1 out of 2
Estimated length of $\overline{A B}=9.2 \mathrm{~cm}$ The actual length of $\overline{A B}=$ $\square$ cm (round to 3 decimal places)

Answer Attempt 1 out of 2 Estimated length of $\overline{W X}=7.5 \mathrm{~cm}$ The actual length of $\overline{W X}=$ $\square$ cm (round to 3 decimal places)

Triangle $A B C$ is dilated to produce triangle $A^{\prime} B^{\prime} C^{\prime}$ .
Determine the scale factor used to create the image. $\frac{1}{3}$

Find the value of $x$ . $x=$ Previous

$3 / 4$ The uniform beam has a mass of 50 kg per meter of length. Determine the reactions at the supports.
Problem $3 / 4$

) 嚆, What is the area of the shaded region?
「脐」 $\square$ square kilometers Submit

9. Un rectangle mesure $3,9 x$ de large sur $5 x$ de long. Quelle est l'aire de ce rectangle?

What are the corresponding parts of the figures below? Select all that apply. $\angle B \cong \angle L$ $\angle A \cong \angle L$ $\angle B \cong \angle M$ $\overline{B A} \cong \overline{K L}$ Submit

Find the total perimeter of each shape to two decimal places. (a) (b) $=10^{+}+\frac{10}{4} \times \pi$

The radius of a garbage can is 7 inches. Which expression can be used to find the garbage can's circumference in inches? CLEAR CHECK $2 \cdot \pi \cdot 7$ $\pi \cdot 7^{2}$

The polygon circumscribes a circle. What is the perimeter of the polygon?
The perimeter of the polygon is $\square$ cm .

Calculate the distance between the points $F=(-4,4)$ and $G=(-1,9)$ in the coordinate plane. Give an exact answer (not a decimal approximation).
Distance: $\square$

12 Find the scale factor for the following pairs of similar figures, and find the value of $x$ . a b

What are the corresponding parts of the figures below? Select all that apply. $\angle E \cong \angle W$ $\overline{C D} \cong \overline{U V}$ $\overline{E B} \cong \overline{W T}$ $\overline{D E} \cong \overline{V W}$

Complete the congruence statement. $\triangle F E G \cong \triangle$ $\square$ Submit
Work it out Not feeling ready yet? These can help:

Find the perimeter of the rectangle. Express the perimeter using the same unit of measure that appears on the given sides.
The perimeter of the rectangle is $\square$ $\square$

Find the midpoint of the line segment with the given endpoints. $(2,8) \text { and }(4,6)$
The midpoint of the segment is . $\square$ (Type an ordered pair.)

Use the model to find 99.6.7. First, fill in the area of each rectangle.
Then find the total area

Write the standard form of the equation of the circle with the given center and radius. Center $(-4,-5), r=\sqrt{2}$
The equation of the circle in standard form is $\square$ (Simplify your answer.)

Un poisson dans un lac voit un disque lumineux à la surface (indice $n=1.33$ ).
1) Expliquez pourquoi.
2) Si le rayon du disque est $r=3.0$ m, quelle est la profondeur du poisson ?

Find which point among A. $(-9,-65)$ , B. $(-1,7)$ , C. $(0,8)$ , D. $(-2,12)$ , E. $(7,17)$ lies on the line through $(-3,13)$ and $(3,-5)$ .

Find the side lengths of a square with a perimeter between 182 and 198 inches using $P=4s$ . Express in interval notation.

Determine the center and radius of the circle given by $x^{2}+12x+y^{2}-4y+15=0$ . Choose the correct option.

Find the length of $\overline{F G}$ if $G$ is the midpoint of $\overline{F H}$ and you know the length of $\overline{F H}$ .

Find the range of side lengths $s$ for a square with perimeter $P$ such that $102 < P < 138$ . Express in interval notation.

Explain the relationship between the graphs of $g(x) = x^{2} + 1$ and $f(x) = x^{2}$ .

Find $m \angle XYW$ and $m \angle WYZ$ if they are complementary to $m \angle XYZ=117^{\circ}$ .

Find the measures of angles $XYW$ and $WYZ$ if $m \angle XYZ = 117^{\circ}$ and they are supplementary.

Graph the functions $f(x)=\sqrt{x}$ and $g(x)$ for given $x$ values. Describe the relationship between $f$ and $g$ .

Find the slope $m$ between the points $(10,-6.5)$ and $(0,-1.5)$ .

Find the area of a scale drawing of a parallelogram where the scale is $10 \mathrm{~cm}$ for every $8 \mathrm{~m}$ on the sculpture. Base: $4.2 \mathrm{~m}$ , heights: $5 \mathrm{~m}$ and $6 \mathrm{~m}$ .

Plot the point $(-\frac{3}{2}, -\frac{9}{2})$ on a coordinate plane.

Find points A, B, and C on $y=\frac{\sqrt{3}}{6} x^{2}$ such that $\angle OPA = \angle OPB = 30^{\circ}$ and $\angle ABC = 60^{\circ}$ .

原点Oと点P(-3/2, 0)があり、曲線 $y=\frac{\sqrt{3}}{6} x^{2}$ 上の点A, B, Cを求める問題。 (1) A, B, Cの座標 (2) 円の中心座標 (3) Bの接線の式 (4) Bのみが両方にあることを示せ。

正十二面体の頂点 $\mathrm{O}, \mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}$ に関する問題です。 (1) 点 $\mathrm{O}$ と平面 $\mathrm{P}$ の距離を証明せよ。 (2) 点 $\mathrm{O}$ を含む立体の体積を求めよ。

Beregn arealet af trekanter med g og h: a) g=3, h=4; b) g=2, h=4; c) g=8, h=4; d) g=10, h=2. Beregn cirkelareal med $\pi=3$ .

Find the vectors $\overrightarrow{P Q}$ and $\overrightarrow{P R}$ for points $P(-2,1)$ , $Q(5,3)$ , and $R(x,y)$ .

Find $\frac{a}{b} + \frac{c}{d}$ where $a$ is the circumscribed circle radius, $b$ is the inscribed circle radius, $c$ is the larger square side, and $d$ is the smaller square side.

Calculate the area of a ring with inner radius 18m and outer radius 22m. Use the formula for area: $A = \pi(R^2 - r^2)$ .

Calculate the area of a circle with radius 18: $\pi \cdot 18^{2}=$

A cube with side $5.3 \mathrm{~cm}$ has a volume of $V$ and mass of 280g. Find density and determine if it floats in water.

Determine the line equation that goes through points $P=(1,4)$ and $Q=(-1,-4)$ .

Find the area of a circle centered at the origin with radius 15 using $\pi \approx 3.14$ . Options: A. 47.1 B. 94.2 C. 225 D. 706.5 E. 2826

Find the radius of a circle with a circumference of $30 \mathrm{~cm}$ . Options: A. $2 \pi$ , B. $\frac{15}{\pi}$ , C. $\frac{30}{\pi}$ , D. 15, E. 30.

Identify the properties of isosceles triangles: all sides congruent, none congruent, two sides congruent, angles $60^{\circ}$ , none congruent, two angles congruent.

Find the midpoint of the line segment joining the points $R(-2,3)$ and $S(4,6)$ .
The midpoint is $\square$ (Type an ordered pair. Use integers or simplified fractions for any numbers in the expression.)