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20 Questions Chapter 10 Review

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1. Polygons The sum of the measures of the interior angles of a convex polygon is 2520. How many sides does the polygon contain? Answer

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Answer to Question #1 16 Sides

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2. Polygons The sum of the measures of five interior angles of a heptagon is 690. The measure of the 6 th angle is twice the measure of the seventh. Find the measure of the 6 th angle. Answer

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Answer to question #2 140 degrees

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3. Polygons Find the sum of the measures of the exterior angles of a convex nonagon. Answer

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Answer to question #3 360 degrees

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4. Polygons Find the sum of the measures of the interior angles of a convex 14-gon Answer

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Answer to question #4 2160 degrees

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5. Polygons How many sides are in a regular polygon if each interior angle measures 144º? Answer

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Answer to question #5 10 Sides

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6. Parallelograms Find the area of a parallelogram that has vertices: A(-4, 15), B(1, 15), C(4, 10), and D(-1, 10) Answer

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Answer to question #6 25 square units

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7. Parallelograms The length of a rectangle is 4in. More than the width. If the perimeter is 84in., find the area of the rectangle. Answer

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Answer to question #7 437 square inches

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8. Parallelograms Find the area of a parallelogram with side lengths 8cm and 16cm and an acute angle of 45º. Answer

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Answer to question #8 90.51 sq. cm

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9. Triangle, Rhombi, and Trapezoids Find the area of a rhombus with sides 8 inches and diagonals of 12 inches and 9 inches. Answer

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Answer to question #9 54 sq inches

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10. Triangle, Rhombi, and Trapezoids Find the area of an isosceles trapezoid with base angles of 30º, height of and a long base of 150 cm Answer

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Answer to question #10 1496.49 sq cm

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11. Triangle, Rhombi, and Trapezoids The area of a triangle is 160 sq cm. The height is 20 cm., Find the length of the base. Answer

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Answer to question #11 16 cm

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12. Triangle, Rhombi, and Trapezoids Find the value of h 10cm 24cm 26cm h Answer

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Answer to question #12 9.23 cm

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13. Regular Polygons and Circles The area of triangle ABC is 24 sq meters. If AC = 6 m and AB is a diameter, find the area of the circle A C B Answer

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Answer to question #13 25 sq meters

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14. Regular Polygons and Circles Find the area of a regular octagon with radius of 5 yd. Answer

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Answer to question #14 70.71 sq yds

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15. Regular Polygons and circles Find the area of a regular hexagon with a side length of 22 ft. Answer

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Answer to question #15 1257.47 sq. ft

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16. Regular Polygons Find the area of a regular decagon with an apothem of 3 cm Answer

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Answer to question #16 29.24 sq. cm

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17. Regular Polygons Find the area of the shaded region. AB = 8 ft. C is the midpoint of AB Answer

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Answer to question #17 110.85 sq. ft

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18. Geometric Probabilities Luke told Scott that he would arrive at the basketball game sometime between 7:20 and 7:45. Scott says that he must be on the court at 7:30. What is the probability that Luke will arrive by 7:30? Answer

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Answer to question #18 10/25 = 2/5 =.4

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19. Geometric Probability Find the area of the sector (inside the central angle). 120º 4 cm Answer

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Answer to question #19 16.76 sq cm

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20. Geometric Probabilities Find the probability that a point chosen at random lies in the shaded region. Answer 10 cm

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Answer to question #20.215

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