<p> Chapter 10 Homework Packet</p><p>HW #7--Problems #1-10 Choose the best answer. Be sure to show your work! 1.) At the local pizzeria, a small pizza has a 8-in 2.) Find the area of parallelogram ABCD. Round to diameter. How much more pizza do you get if you buy the nearest tenth. a large pizza with a diameter of 16 in.? Assume the B 24cm C pizzas are circular. A. 192p in2 B. 48p in2 14cm 2 2 C. 16p in D. 8p in 60 A D</p><p>A. 145.5 cm2 B. 168.0 cm2 C. 190.5 cm2 D. 291.0 cm2</p><p>3.) Which is the measure of an exterior angle of a 4.) A regular polygon has 10 sides. Find the sum of regular pentagon? the measures of the interior angles.</p><p>A. 36 A. 36˚ B. 144˚ B. 45 C. 360˚ D. 1440˚ C. 72 E. 1800˚ D. 90</p><p>For questions 5-8, set up an equation to solve each problem. 5.) The perimeter of a rectangle is 100 cm. The length 6.) The area of a parallelogram is 104 yd 2 and the of the rectangle is two more the width. Find the area of height is 8 yd. Find the length of the parallelogram. the rectangle.</p><p>7.) An isosceles right triangle has an area of 8.) The perimeter of a square is 72 in. Find the area of 98 m2 . Find the length of each leg. the square.</p><p>4 7骣1 3 8 2 4 3 5 9.) Simplify: 4m n琪 m n 10.) Simplify: (2x y z)( 5 x yz ) ( )桫8 HW #8-- Problems #11-20. Choose the best answer. Be sure to show your work! 11.) Find the measure of angle 1: 12.) If RSTW is a rhombus, what is the area of DWXT ?</p><p>36 R W 88</p><p>X 12 60 1 S T</p><p>A. 36 3 B. 18 3 C. 36 A. 34° B. 56° C. 64° D. 144 E. 48 D. 92° E. 124° 13.) Find the area of an equilateral triangle with 12 14.) In the figure below, if cos x = , what are sin x perimeter 36m. 13 and tan x?</p><p>A. 18 m2 B. 18 3 m2 C. 36 m2 D. 36 3 m2 x E. 72 3 m2 5 5 5 12 A. sinx= , tan x = B. sinx= , tan x = 13 12 13 5</p><p>13 5 13 13 C. sinx= , tan x = D. sinx= , tan x = 5 12 5 5</p><p>For questions 15-18, set up an equation & solve each problem. 15.) The perimeter of a rhombus is 32 ft and one 16.) The area of a trapezoid is 2 when the one nd 80 cm diagonal is 12 ft. Find the length of the 2 diagonal & base has measure of 7 cm and the height is 8 cm. Find then find the area of the rhombus. the length of the other base of the trapezoid.</p><p>17.) 18.) The area of a trapezoid is 96 in2 when the height is 12 inches. Find the lengths of both bases if the longer base is four more than the shorter base.</p><p>3 2 3 4 22 骣 1 6 3 6 4 3 5 19.) Simplify: -3x y琪 - x y 20.) Simplify: (3x y z) ( x yz ) ( ) 桫 2 HW #9 -- Problems #21-30. Choose the best answer. Be sure to show your work! 21.) The measure of each interior angle of a regular 22.) What is the area, in square units, of the trapezoid polygon is 150˚. What kind of polygon is it? shown below:</p><p>A. a regular hexagon y a xi s B. a regular octagon C. a regular nonagon D. a regular decagon (0, 5) (8, 5) E. a regular dodecagon</p><p>(12, 0) x a xi s</p><p>A. 37.5 B. 42.5 C. 50 D. 60 E. 100</p><p>23.) A stone pathway forms the diagonal of a square 24.) Find the area of a square with radius 5 cm. garden. A side of the garden is 40 ft. How long is the pathway? A. 25 cm2 B. 50 cm2 C. 50 2 cm2 D. 100 cm2 A. 40 ft B. 40 2 ft. C. 46 3 ft. D. 80 ft.</p><p>25.) Which quadrilateral always has both pairs of 26.) A right triangle has a leg that is 5 in long and a opposite sides congruent? hypotenuse that is 13 in long. Find the length of the third side. I. a trapezoid II. a parallelogram A. 6 in B. 8 in III. a kite C. 10 in D. 12 in</p><p>A. II only B. II and III C. I and II D. I and III</p><p>27.) Find the area of a circle with circumference of 20 28.) Find the area of quadrilateral PQRS. p . 4 A. 400p B. 200p 3 C. 314p D. 100p 10 6</p><p>A. 34.1 un2 B. 130 un2 C. 65 un2 D. 360 un2 8 3 2 24x y 18x2 y 4骣 xy 7 29.) Simplify: 30.) Simplify: 琪 6x2 y 7 6琪 5 3 3x y桫- 2 x y HW #10 -- Problems #31-40. Choose the best answer. Be sure to show your work! 31.) Find the area of a regular hexagon with side 32.) Find HK. length of 10 cm. Round to the nearest tenth. J</p><p>A. 129.9 cm2 12 45 B. 259.8 cm2 C. 150 2 cm H K D. 519.6 cm2 A. 3 2 B. 6 2 C. 6 D. 2 3</p><p>33.) Find the circumference of a circle with a radius 34.) In a 45-45-90 triangle, the hypotenuse measures of 26.5 cm. 20 2 feet. What is the length in feet of the two legs? p cm p cm A. 26.5 B. 53 A. 40, 20 2 B. 40, 40 C. 702.25p cm D. 2809p cm C. 20, 20 D. 2 , 20</p><p>35.) What is the tangent of R Z in the triangle shown? 36.) Find the area of the triangle. Y 24 Z 18 in 8 in 120 7 14 in 25 A. 56 in2 B. 72 in2 X C. 126 in2 D. 48.5 in2 7 7 24 25 A. B. C. D. 25 24 25 24</p><p>37.) What type of triangle has side lengths 5 feet, 13 3 3 64 骣1 4 3 feet, and 16 feet? 38.) Simplify: -2x y琪 x y ( ) 桫2 A. acute B. isosceles C. right D. obtuse</p><p>5 9 3 2 2 16x y x y 骣4m2 n 4 骣 m 8 n 2 39.) Simplify: 40.) Simplify: 琪 琪 2x8 y 4 4 x 7 y 8 琪4 琪 5 6 桫3m n 桫 2 m n HW #12 -- Problems #41-50. Choose the best answer. Be sure to show your work! 41.) What is the perimeter of quadrilateral RSTU 42.) GH and JK are diameters of circle C. If shown below? mHK = 35 , what is mGJK ? S A. 55 B. 145 5 cm T C. 215 D. 325 3 cm R 12 cm U</p><p>A. 20 cm B. 30 cm C. 32 cm D. 37 cm 43.) A farmer has planted corn and okra on a piece of 44.) A square has an area of 225 square centimeters. land shown below. What is the area of the section If the length of each side is doubled, what will the planted with corn? area of the new square be in square centimeters?</p><p>A. 450 cm2 B. 900 cm2</p><p> corn C. 1200 cm2 D. 1800 cm2 40 yd okra</p><p>50 yd</p><p>A. 2000 yd 2 B. 4000 yd 2 C. 4100 yd 2 D. 4600 yd 2 45.) In the figure below, PQRS is a parallelogram. 46.) As modeled below, a 20-foot ladder leans against What are the values of a and b? a tree. The ladder makes a 64 angle with the ground. Q R Which of the following is closest to the distance up 110 the tree the ladder reaches?</p><p>(4a+b) (3b-a) sin 640.90 cos 64 0.44 P S 20 ft  ? tan 642.05</p><p>A. a = 70, b = 110 B. a = 110, b = 70 64 C. a = 30, b = 20 D. a = 20, b = 30 A. 8.8 ft B. 18.0 ft C. 22.2 ft D. 41.0 ft 47.) Find the area of a regular octagon with a 48.) Rhombus ABCD has area 126 square units. If perimeter of 80 inches. Round to the nearest tenth. DB = 18 units, find AC. A B A. 965.7 in2 B. 165.7 in2 C. 482.8 in2 D. 82.8 in2</p><p>D C</p><p>A. 18 units B. 7 units C. 14 units D. 20 units</p><p>3 2 4 0 2 0 5 3 4x y 6 x y 49.) Simplify: (-2x y z ) 50.) Simplify: 2x0 y 8 x 2 y 2 HW #13 -- Problems #51-60. Choose the best answer. Be sure to show your work! 51.) The perimeters of two squares are in a ratio of 4 52.) What is the area of ABCD, in square centimeters? to 9. What is the ratio between the areas of the two B squares? 10 cm 17 cm 8 cm</p><p>A C 6 cm 15 cm</p><p>8 cm 10 cm 17 cm A. 2 to 3 B. 4 to 9 D C. 16 to 27 D. 16 to 81 A. 120 B. 154 E. Not enough information to conclude C. 168 D. 240 E. 336</p><p>53.) The rectangle shown below has length 20 meters 54.) Find the area of the shaded region. Round to the and width 10 meters. If four triangles are removed nearest tenth. from the rectangle as shown, what will be the area of the remaining figure?</p><p>4 m 4 m 4 m 4 m 4 m</p><p>4 m 4 m</p><p>4 m 4 m A. 12.6 m2 B. 32.9 m2 A. 136 m2 B. 144 m2 C. 24.6 2 D. 44.9 2 C. 168 m2 D. 184 m2 m m E. 200 m2</p><p>55.) A tabletop has the shape of a regular polygon. 56.) What is mR ABC ? The measure of an internal angle of the tabletop is 135 C . The tabletop is in the shape of a(n) 106 B A. hexagon B. heptagon C. octagon D. nonagon</p><p>89 D 109 A 119</p><p>E A. 119 B. 117 C. 87 D. 125</p><p>MORE ON THE NEXT PAGE 57.) The quadrilateral shown below is a rhombus. 8x3 y 4 What is the area of VQRS ? 58.) Simplify: 24x 6 y 2 P Q</p><p>5 3</p><p>S R</p><p>A. 6 un2 B. 12 un2 C. 24 un2 D. 48 un2</p><p>2 2 骣2x4 y 5 3x2 y 4骣 4 x 2 y 3 59.) Simplify: 琪 60.) Simplify: 琪 琪 3 9 6 9琪 3 4 桫8x y 12x y桫 20 x y</p>