Geometry

Problem 3501

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Problem 3502

heme Transition 34 5 6 COUNTING RISE OVER RUN To determine the slope of the line, count and record the rise over run! 5-4-3-2 -2 -3 -4 -5 3 RISE: 45 RUN: Slideshow app : Share 0

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Problem 3503

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Problem 3504

EXAMPLE 2 Check Your Progress W/CheckPoint COORDINATE GEOMETRY Line nn contains points (2,4)(2,4) and (4,2)(-4,-2). Find the distance between line nn and point B(3,1)B(3,1). A. 4\sqrt{4} or 2 B. 8\sqrt{8} or about 2.83 C. 10\sqrt{10} or about 3.16 D. 36\sqrt{36} or about 6

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Problem 3505

Find the coordinates of the midpoint of the line segment juith the endpoints R(5,7)R(-5,-7) and S(2,4)S(2,-4).
The midpoint is \square , \square ).

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Problem 3506

Srient A(3;5);B(1;7)A(3 ; 5) ; B(-1 ;-7) e C(1;1)C(-1 ; 1) Deteriminer les cordonnées duvectewis ABundefined\overrightarrow{A B}. Déterminer une équation cortésienne de fo droté ( ABA B ) 3) Déterminer une équation caratésienne de lo drote 10) passont par CC et pexpendiculaire à (AB)(A B).

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Problem 3507

ht of each parallelogram. b=23 cm15 cm h=12\begin{array}{l} b=\frac{23 \mathrm{~cm}}{15 \mathrm{~cm}} \\ \mathrm{~h}=\frac{1}{2} \end{array} 2. b=b= \qquad h = \qquad
Area of parallelogram ==\begin{array}{l} = \\ = \end{array} \qquad 4. 5.
Area == \qquad Area == \qquad == ==

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Problem 3508

6.
Area =30 cm2=30 \mathrm{~cm}^{2} 7.
Area =27 m2=27 \mathrm{~m}^{2} Base = Height = \qquad

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Problem 3509

What is the slope of the line that passes through th points (3,3)(3,-3) and (9,6)(9,-6) ?

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Problem 3510

Question 3
Find the expression that represents the perimeter of the rectangle. 3x27x+23 x^{2}-7 x+2 7 7x27 x^{2} 20x212x2020 x^{2}-12 x-20 10x2+8x+1410 x^{2}+8 x+14 20x2+16x+2820 x^{2}+16 x+28 10x26x1010 x^{2}-6 x-10

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Problem 3511

La foudre est tombée sur un cerisier de mon jardin cette nuit. J'ai fait le schéma ci-contre de mon arbre cassé. On considère que le tronc est bien perpendiculaire au sol. Quelle était la hauteur de mon cerisier avant que la foudre ne s'abatte ? Arrondir au mètre près et rédiger. \qquad \qquad \qquad \qquad \qquad \qquad

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Problem 3512

The diagram shows two circles that touch at D(6,3)D(6,3).
Circle C1C_{1} has equation (x2)2+(y5)2=20(x-2)^{2}+(y-5)^{2}=20. Circle C2C_{2} is twice the size of C1C_{1}. Find, (a) The equation of Circle C2\mathrm{C}_{2}. 5 (b) The equation of the common tangent at D . 3

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Problem 3513

6/10
I have four sides and only one set of parallel lines. What am I? trapezoid rectangle square parallelogram Rylan Lee Skip

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Problem 3514

S
8. Given: DEHG,DE//GH\overline{\mathrm{DE}} \cong \overline{\mathrm{HG}}, \mathrm{DE} / / \mathrm{GH}

Prove: DFHF\overline{\mathrm{DF}} \cong \overline{\mathrm{HF}} \begin{tabular}{|l|l|} \hline Statement & Reason \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline & \\ \hline \end{tabular}

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Problem 3515

State the side length of a square with an area of 363 cm2363 \mathrm{~cm}^{2} in simplified radical form. 15732 cm\frac{1573}{\sqrt{2}} \mathrm{~cm} 15732 cm\frac{1573}{2} \mathrm{~cm} 113 cm11 \sqrt{3} \mathrm{~cm} 786.5 cm\sqrt{786.5} \mathrm{~cm}

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Problem 3516

The measure of JLM\angle J L M is 140140^{\circ}. The measure of JKL\angle J K L is 7575^{\circ}.
What is the measure of KJL\angle K J L ? Enter your answer in the box. mKJL=m \angle K J L=\square^{\circ} 1 2 3

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Problem 3517

SimilarityProportions K Find the value ark $2

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Problem 3518

التمرين الرابع . 3ن. EF=EG=4cm. . انشئ المثلث EFG متساوي الساقين حبت : EFE=m . أنسى النقطتين عوه نظيرتي النقطتين أوان على الترتيب بالنسبة إلى E ما نوع الرباعي FACD؟ علل

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Problem 3519

2. The equation of a circle is x2+y2=121x^{2}+y^{2}=121. Determine the radius. a. 10 units b. 12.1 units c. 11 units d. 22 units
3. Which point is on the circle with equation x2+v2=26?x^{2}+v^{2}=26 ?

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Problem 3520

 Area =b1+b22× height =20ft+15ft2×10ft=35ft2×10ft=17.5ft×10ft=ft2\begin{aligned} \text { Area } & =\frac{b_{1}+b_{2}}{2} \times \text { height } \\ & =\frac{20 \mathrm{ft}+15 \mathrm{ft}}{2} \times 10 \mathrm{ft} \\ & =\frac{35 \mathrm{ft}}{2} \times 10 \mathrm{ft} \\ & =17.5 \mathrm{ft} \times 10 \mathrm{ft} \\ & =\square \mathrm{ft}^{2}\end{aligned}

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Problem 3521

Graph the following function on the axes provided. f(x)={5 for 5<x<1x+8 for 1<x<6f(x)=\left\{\begin{array}{ll} 5 & \text { for } \quad-5<x<1 \\ -x+8 & \text { for } \quad 1<x<6 \end{array}\right.
Click and drag to make a line. Click the line to delete it. Click on an endpoint of a line to change it.

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Problem 3522

Primera verificación de conocimientos Pregunta 16 y=34x+1y=-\frac{3}{4} x+1 No se Entregar 2024 Mc

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Problem 3523

Hallar la pendiente de la sigulente recta. \square Indeflido No sé Entregar 2024 McGraw Hill LLC Todos los derechos reservados. Téminos de uso Centro de nidion-

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Problem 3524

A trapezoidal trough has a top width of 15 ft and a bottom width of 9 ft and a depth of 6 ft . The area of the cross section of the channel is \square square feet.

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Problem 3525

8. Brent wants to dig a circular pond surrounded by a flower bed as shown in the following diagram. The pond will have a diameter of 10 ft and the diameter of the pond and flower bed combined will be 14 ft . a) Brent needs to know the area of the pond in order to purchase a cover for the winter. What is the area of the pond, to the nearest square foot? b) Brent needs to know the area of the flower bed to plan the layout and order the flowers. What is the area of the flower bed, to the nearest square foot?

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Problem 3526

العلبة؟ ما عددُ تطع الحُلوى التي تمالُ العلبةُ

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Problem 3527

٤. يُراد تعبئة علبة على شكل متوازي مستطيلاتٍ ابعادها من الداخل: ۱۸سم ، ١٢سم، آر بقطع من الحلوى على شكل مكعب، طولُ حرفه ۳سم . هل يمكن وضع ٥٠ قطعة حلوى دار العلبة؟ ما عدد قطع الحلوى التي تملأُ العلبة؟

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Problem 3528

The diagram shows a convex polygon.
What is the sum of the exterior angle measures, one at each vertex, of this polygon? \square

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Problem 3529

The diagram shows a convex polygon.
What is the sum of the exterior angle measures, one at each vertex, of this polygon? \square

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Problem 3530

The diagram shows a regular polygon.
What is the value of xx ? Write your answer as an integer or as a decimal rounded to the nearest tenth. x=x=

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Problem 3531

What is the perimeter of the rectangle KLMN shown below?
Not drawn accurately

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Problem 3532

A ferris wheel is 16 meters in diameter and makes one revolution every 8 minutes. For how many minutes of any revolution will your seat be above 12 meters?
For \square minutes of any one revolution you will be above 12 meters.

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Problem 3533

The diagram shows a regular polygon.
What is the value of xx ? Write your answer as an integer or as a decimal rounded to the nearest tenth. x=x=\square^{\circ}

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Problem 3534

Given the triangle below, find the angle AA and length of side xx Note: picture is NOT drawn to scale, but you can assume an angle that appears acute is acute and angle that appears obtuse is obtuse. A=A= \square degrees x=x= \square

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Problem 3535

Find aa if b=177mi,c=171mib=177 \mathrm{mi}, c=171 \mathrm{mi} and α=169\angle \alpha=169^{\circ}. a=a= \square mi ;
Assume α\angle \alpha is opposite side a,βa, \angle \beta is opposite side bb, and γ\angle \gamma is opposite side cc.

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Problem 3536

In the experiment set up as shown in the Figure, flow is taking place under a constant head through the soils Sand A and Sand B of different permeabilities (hydraulic conductivities).
If 70%70 \% of the head loss occurs in Sand A, what is the piezometric head at point Y?
Figure (Drawing not to scale)

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Problem 3537

opic: Circles rogress: Question ID: 1188461
The movement of the progress bar moy be uneven because questions can be worth more or less (including zero) depending on your onswer Find the area of a circle with a radius of 10 meters. Use π3.14\pi \approx 3.14. The area of the circle is approximately \qquad square meters. Enter only the number.
The solution is \square

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Problem 3538

ZADANIE 5 Wyznacz pole obszaru ograniczonego krzywą: f(x)=x1f(x)=\sqrt{x-1} oraz prostymi x=10;y=1x=10 ; y=1 f(x)=x1x=10y=11=x121=x1\begin{aligned} f(x) & =\sqrt{x-1} \quad x=10 \quad y=1 \\ 1 & =\left.\sqrt{x-1}\right|^{2} \\ 1 & =|x-1| \end{aligned}

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Problem 3539

Given: CC is the midpoint of ADA D and CC is the midpoint of EBE B. Prove: AD\angle A \cong \angle D \begin{tabular}{l|l} STATEMENTS & REASONS \\ \hline & \\ & \end{tabular}

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Problem 3540

e le périmètre (en cm) des figures cl-aessuus. nètre \qquad ètre : \qquad ètre \qquad \square nètre : \qquad

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Problem 3541

b) Périmètre =304 mm=304 \ \mathrm{mm}
Mesure manquante == \_\_\_\_

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Problem 3542

A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer. \square
m m2m^{2} m3\mathrm{m}^{3}

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Problem 3543

Geomatry, Meosurement, Data Analysis Sydne Area livolving rectangles and triangles
A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer. \square Exilyanation Check O 2024 MaGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center I Accessibitif Search

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Problem 3544

Find the area of the region in the first quadrant bounded on the left by the yy-axis, below by the cuvre x=2yx=2 \sqrt{y}, above left by the curve x=(y1)2x=(y-1)^{2}, and above right by the line x=3yx=3-y

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Problem 3545

A pipe 200 feet long has a diameter of 36 inches. What volume of water in cubic feet will the pipe hold if it is full?
Volume =(=( Surface Area )×) \times length =(0.785×D2)× length =[0.785×(ft)2]×\begin{array}{l} =\left(0.785 \times \mathrm{D}^{2}\right) \times \text { length } \\ =\left[0.785 \times(\square \mathrm{ft})^{2}\right] \times \square \end{array} (type answer in the blue box and click Submit)

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Problem 3546

In triangles PQRP Q R and UVWU V W, angles QQ and VV each have measure 75,PQ=975^{\circ}, P Q=9, and UV=27U V=27. Which additional piece of information is sufficient to prove that triangle PQRP Q R is similar to triangle UVWU V W ?

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Problem 3547

Solve tile system of inequalitues by grapining. y2y<4\begin{array}{l} y \geq 2 \\ y<4 \end{array}
Select a line to change it between solid and dotted. Select a region to shade it. y2y<4y \geq 2 \quad y<4 shade

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Problem 3548

Richiesta 3 (5 punti) Dimostrare la seguente formula per calcolare l'area di un rombo: A=l2sin(α)A=l^{2} \sin (\alpha) dove ll è la misura di un suo lato e α\alpha è l'ampiezza di un suo angolo interno. Suggerimento: utilizzare la seguente formula di duplicazione: sin(2θ)=2sin(θ)cos(θ)\sin (2 \cdot \theta)=2 \cdot \sin (\theta) \cdot \cos (\theta)

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Problem 3549

r=8cosθr=8 \cos \theta is equivalent to what rectangular equation? A. x2+y2=42x^{2}+y^{2}=4^{2} B. (x8)2+y2=82(x-8)^{2}+y^{2}=8^{2} c. (x4)2+y2=42(x-4)^{2}+y^{2}=4^{2} D. x2+(y4)2=42x^{2}+(y-4)^{2}=4^{2}

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Problem 3550

le Rerimelice est isule maximom 55om5 \mathrm{5om} Largiar =x=x tong bres =4x=4 x sa largeur es isale an avadruple de salargan Calculer les mesue possiale des âtes du rectangie 2 e calculer ĺaile du reciangle. P=2(L+l2(4x+x)2302(5x)250l=x=15L=4x=60{A=15×60=900 cm=900 cm Pra 900×0+x70,25]m25 Longuar =4x=4×25L=100 m & [0,25)l=rL=4YL=20 mx=20=llˉ=3 mL=40 mC=4x=4×20=801=80×20=1600l=16 ml=x=10l=4x=40prx×1 m=sos1 solution \begin{array}{l} P=2 \cdot(L+l \\ 2 \cdot(4 x+x) \leq 230 \\ 2(5 x) \leq 250 \\ l=x=15 \text {. } \\ L=4 x=60 \\ \left\{\begin{aligned} A & =15 \times 60 \\ & =900 \mathrm{~cm} \end{aligned}\right. \\ =900 \mathrm{~cm} \\ \text { Pra } 900 \times 0 \\ +\infty \\ x \in 70,25] \mathrm{m} \\ 25 \\ \text { Longuar }=4 x=4 \times 25 \\ L=\leqslant 100 \mathrm{~m} \\ \text { \& } \in[0,25) \\ l=r \\ L=4 Y \\ L=20 \mathrm{~m} \\ x=20=l \\ \bar{l}=3 \mathrm{~m} \\ L=40 \mathrm{~m} \\ C=4 x=4 \times 20=80 \\ 1=80 \times 20=1600 \\ \begin{array}{ll} l=16 \mathrm{~m} & l=x=10 \\ l=4 x=40 \end{array} \\ \operatorname{pr} x \times 1 \mathrm{~m}^{\prime}=\operatorname{sos} \\ 1 \text { solution } \end{array} L=4x=40 mL=4x=60A1=10×40 m2A=15×60A=20×80=160\begin{array}{l} L=4 x=40 \mathrm{~m} \\ L=4 x=60 \\ A_{1}=10 \times 40 \mathrm{~m}^{2} \\ A=15 \times 60 \\ A=20 \times 80 \\ =160 \end{array}

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Problem 3551

Find the standard form for the equation of a circle (xh)2+(yk)2=r2(x-h)^{2}+(y-k)^{2}=r^{2} with a diameter that has endpoints (6,7)(-6,-7) and (3,7)(3,-7). h=h= \square k=7k=-7 r=r= \square

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Problem 3552

5. A video camera is mounted on top of a 120 m building. When the camera tilts down 3636^{\circ} with the horizontal, it views the bottom of another building. If it tilts up 4747^{\circ} with the horizontal, it can view the top of the same building. Determine the height of the building viewed by the camera.

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Problem 3553

Suppose that v=22\|\vec{v}\|=22 and w=6\|\vec{w}\|=6. Suppose also that, when drawn starting at the same point, v\vec{v} and w\vec{w} make an angle of 5π6\frac{5 \pi}{6} radians. (A.) Find w+v\|\vec{w}+\vec{v}\| and round to two decimal places. w+v=\|\vec{w}+\vec{v}\|=\square (B.) Find wv\|\vec{w}-\vec{v}\| and round to two decimal places. wv=\|\vec{w}-\vec{v}\|=\square

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Problem 3554

点 ( 0,1,20,1,2 )至川平面 3x+4y+5z+1=03 x+4 y+5 z+1=0的 足巨离 打 \qquad

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Problem 3555

 直红果 x2=y13=z+25 与平面 2x+3y+8 ○。的是昆位置关系 \begin{array}{l} \text { 直红果 } \frac{x}{2}=\frac{y-1}{3}=\frac{z+2}{5} \text { 与平面 } 2 x+3 y+8 \\ \text { ○。的是昆位置关系 } \end{array}

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Problem 3556

Resolve the vectors shown in the figure below into components. (Here, the vectors i=i\vec{i}=\mathbf{i} and j=j\vec{j}=\mathbf{j}.) a=i+jb=i+jv=i+jw=i+j\begin{array}{l} \vec{a}=\square \mathbf{i}+\square \mathbf{j} \\ \vec{b}=\square \mathrm{i}+\square \mathrm{j} \\ \vec{v}=\square \mathrm{i}+\square \mathrm{j} \\ \vec{w}=\square \mathrm{i}+\square \mathrm{j} \end{array}

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Problem 3557

Graph the function. y=12xy=\frac{1}{2} \sqrt{x}
Click to plot points on the graph. Plot the endpoint first

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Problem 3558

2. The following diagram shows where a road intersects two parallel streets. At one intersection 2\angle 2 measures 120120^{\circ}. What are the measures of 7\angle 7 and 8\angle 8 at the other intersection? How do you know? 7=120\angle 7=120^{\circ} I know this because 2 was 8=60\angle 8=60^{\circ} 6 then to 7 so than the answer then to 7 so than the answ is 7 the you subtract 180120180-120 =60=60^{\circ} 120120^{\circ}

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Problem 3559

oom DeltaMath All Bookma:
Math tnment \#3 at 10:00 PM ruence, Flowchart Proof (Level (Level 1) (Level 2) (Level 1) uence Criteria
Given: ABAC\overline{A B} \cong \overline{A C} and BADCAD\angle B A D \cong \angle C A D. Prove: DBCDCB\angle D B C \cong \angle D C B. Note: quadrilateral properties are not permitted in this proof.

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Problem 3560

Solve for x\boldsymbol{x}. Round to the nearest tenth, if necessary.
Answer Attempt 1 out of 2 x=x= \square Submit Ans

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Problem 3561

4. Ms. MacDonald measured the angles in a triangular pennant. She said they they measured 1111^{\circ}, 9090^{\circ}, and 8080^{\circ}. a) How do you know that Ms. MacDonald made a mistake? b) If Ms. MacDonald made a small mistake when measuring one of the angles, what could the measurements be? Give three possible combinations.

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Problem 3562

Compare the land areas of City A (38 people/sq mile, 9700 people) and City B (32 people/sq mile, 8200 people).

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Problem 3563

Find the area of a triangle with base 545 cm5 \sqrt{45} \mathrm{~cm} and height 388 cm3 \sqrt{88} \mathrm{~cm}. Use A=12bhA=\frac{1}{2} bh.

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Problem 3564

Find the radius of a circular area with a population of 352,000 and density of 5240 people/sq mile, to the nearest tenth.

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Problem 3565

Translate triangle FGH\triangle FGH down 2 units and left 5 units to get triangle KLMKLM. Complete the congruence statements:
GHKMKH \begin{aligned} \overline{GH} \cong & \\ \angle K \cong & \\ \overline{MK} \cong & \\ H \cong & \\ \end{aligned}

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Problem 3566

What fraction of an acre is a land parcel measuring 50 yards by 30 yards? Simplify your answer.

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Problem 3567

Lucas has a 39-ft rope outlining a T-shape with right angles. Find xx and the area enclosed by the rope.

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Problem 3568

Encuentra el valor de xx si un ángulo recto se divide en (x+32)°(x+32)° y (x)°(x)°.

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Problem 3569

Find the measure of ABC\angle ABC given that ABD=(4x)°\angle ABD = (4x)° and CBD=(5x27)°\angle CBD = (5x-27)°.

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Problem 3570

Find the measure of XYW\angle XYW if XYW=3+5x\angle XYW = 3 + 5x and WYZ=x+15\angle WYZ = x + 15.

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Problem 3571

Find the value of QPS\angle \mathrm{QPS} if QPS=6x+6\angle \mathrm{QPS} = 6x + 6 and SPT=2x+4\angle \mathrm{SPT} = 2x + 4 sum to 90°.

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Problem 3572

Find the value of 6x+66x+6 given QPS=66\angle \mathrm{QPS}=66, QPS=6x+6\angle \mathrm{QPS}=6x+6, and SPT=2x+4\angle \mathrm{SPT}=2x+4.

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Problem 3573

Solve the inequalities 4x+5y84x + 5y \leq 8, 4x5y84x - 5y \geq 8, and y2-y \geq 2. Show the solution graphically.

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Problem 3574

Find the corner points for the inequalities: x+y1x + y \geq 1, x2x \leq 2, y4y \leq 4, x0x \geq 0, y0y \geq 0.

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Problem 3575

Compare the area of a rectangle (7 in by 34\frac{3}{4} in) and a square (side 2122 \frac{1}{2} in).

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Problem 3576

A triangle has sides in the ratio 3:8:7 and a perimeter of 63 cm63 \mathrm{~cm}. Find the shortest side.

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Problem 3577

Which option is not a similarity transformation: a. Translation, b. Dilation, c. Rotation, d. Stretch?

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Problem 3578

What does \sim signify? a. Congruency b. Similarity c. Equal measure d. Almost equal

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Problem 3579

Triangle XYZ is similar to Triangle TUV.

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Problem 3580

If AFGRHT\triangle A F G \sim \triangle R H T, find T\angle T \cong a. A\angle A b. F\angle F c. G\angle G d. R\angle R.

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Problem 3581

Sally's triangle has angles 5050^{\circ} and 6060^{\circ}; Tom's has 5050^{\circ} and 7070^{\circ}. Are they similar?

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Problem 3582

Given STVWQX\triangle \mathrm{STV} \sim \triangle \mathrm{WQX}, find the missing value in STTV=WQ\frac{S T}{T V}=\frac{W Q}{\square}. Choices: a. ST, b. XW, c. VS, d. QXQ X

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Problem 3583

If AFGRHT\triangle \mathrm{AFG} \sim \triangle \mathrm{RHT}, find A\angle A \cong which corresponds to which angle? a. R\angle \mathrm{R} b. H\angle \mathrm{H} c. T\angle T d. G\angle G

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Problem 3584

Triangles ABCA B C and DEFD E F have sides AB=9A B=9, BC=15B C=15, DE=6D E=6, EF=10E F=10, and BE\angle B \cong \angle E. Which is true? a. CABDEF\angle C A B \cong \angle D E F b. ABCB=FEDE\frac{A B}{C B}=\frac{F E}{D E} c. ABCDEF\triangle A B C \sim \triangle D E F d. ABDE=FECB\frac{A B}{D E}=\frac{F E}{C B}

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Problem 3585

A triangle transforms from XYZXY Z (perimeter 40) to XYZX'Y'Z' (perimeter 100). Find the transformation and XY,YZXY, Y'Z'. Options: a, b, c, d.

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Problem 3586

Find the length of AC\overline{A C} in ADC\triangle A D C where AE=9A E=9, ED=5E D=5, AB=9.2A B=9.2, and EBDC\overline{E B} \| \overline{D C}.

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Problem 3587

Find the perimeter of a regular pentagon with one side measuring 7 units. Answer in units.

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Problem 3588

Find the length of the other side of a rectangle with a perimeter of 26 m26 \mathrm{~m} and one side measuring 4 m4 \mathrm{~m}.

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Problem 3589

Find the length of the missing side of a rectangle with perimeter 26 m26 \mathrm{~m} and one side 4 m4 \mathrm{~m}.

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Problem 3590

Which statement is true for triangles ABCA B C and DEFD E F with AB=9,BC=15,DE=6,EF=10A B=9, B C=15, D E=6, E F=10, and BE\angle B \cong \angle E? a. CABDEF\angle C A B \cong \angle D E F b. ABCB=FEDE\frac{A B}{C B}=\frac{F E}{D E} c. ABCDEF\triangle A B C \cong \triangle D E F d. ABDE=FECB\frac{A B}{D E}=\frac{F E}{C B}

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Problem 3591

A figure has sides of 16m, 15m, and 17m. Confirm the perimeter of 52m and find the length of the missing side.

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Problem 3592

Find the length of the missing side of a rectangle with a perimeter of 32 m32 \mathrm{~m} and one side of 11 m11 \mathrm{~m}.

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Problem 3593

Are triangles ABC\triangle ABC and DEF\triangle DEF similar given A=30\angle A=30^{\circ}, D=30\angle D=30^{\circ}, F=38\angle F=38^{\circ}? Justify.

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Problem 3594

Determine what information is needed to show LMN\triangle L M N can be mapped onto OPQ\triangle O P Q. Options: a. OQ=6O Q=6, b. MN=9M N=9, c. LMNQOP\angle L M N \cong \angle Q O P, d. NLMQOP\angle N L M \cong \angle Q O P.

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Problem 3595

1. Find the midpoint of BD\overline{B D} where B is at (5,6)(-5,-6) and D is at (9,11)(9,11).
2. If M is the midpoint of XY\overline{X Y} with X(1,2)X(1,-2) and M(7,4)M(7,4), find Y's coordinates.
3. Calculate the length of RS\overline{R S} for R(8,2)R(8,2) and S(3,7)S(3,7), rounding to the nearest whole number.
4. Find the weighted average of 6 (weight 4) and 12 (weight 2).

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Problem 3596

Find the distance dd between the points (5,5)(-5,-5) and (7,5)(7,5) in a 2D plane. Provide an exact answer.

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Problem 3597

Identify if the transformation H(x,y)(2x,5y)H(x, y) \rightarrow (2x, 5y) is a stretch or dilation.

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Problem 3598

Determine if the transformation L(x,y)(0.3x,2y)L(x, y) \to (0.3x, 2y) is a stretch or dilation.

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Problem 3599

Find the lengths after dilating points A and B from center O with a scale factor of 3: OA=3, OB=5, AB=4. OA'=?

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Problem 3600

Find the smallest angle of a triangle with angle ratios of 5:7:85:7:8. Choices: 72°, 45°, 63°, 8°.

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