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20 Questions. Chapter 10 Review. 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. Answer to Question #1. 16 Sides. 2. Polygons.

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20 Questions

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20 Questions

Chapter 10 Review


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


Answer to Question #1

16 Sides


2. Polygons

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

Answer


Answer to question #2

140 degrees


3. Polygons

Find the sum of the measures of the exterior angles of a convex nonagon.

Answer


Answer to question #3

360 degrees


4. Polygons

Find the sum of the measures of the interior angles of a convex 14-gon

Answer


Answer to question #4

2160 degrees


5. Polygons

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

Answer


Answer to question #5

10 Sides


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


Answer to question #6

25 square units


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


Answer to question #7

437 square inches


8. Parallelograms

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

Answer


Answer to question #8

90.51 sq. cm


9. Triangle, Rhombi, and Trapezoids

Find the area of a rhombus with sides 8 inches and diagonals of 12 inches and 9 inches.

Answer


Answer to question #9

54 sq inches


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


Answer to question #10

1496.49 sq cm


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


Answer to question #11

16 cm


12. Triangle, Rhombi, and Trapezoids

Find the value of h

26cm

24cm

h

Answer

10cm


Answer to question #12

9.23 cm


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

C

Answer

A

B


Answer to question #13

25sq meters


14. Regular Polygons and Circles

Find the area of a regular octagon with radius of 5 yd.

Answer


Answer to question #14

70.71 sq yds


15. Regular Polygons and circles

Find the area of a regular hexagon with a side length of 22 ft.

Answer


Answer to question #15

1257.47 sq. ft


16. Regular Polygons

Find the area of a regular decagon with an apothem of 3 cm

Answer


Answer to question #16

29.24 sq. cm


17. Regular Polygons

Find the area of the shaded region. AB = 8 ft. C is the midpoint of AB

Answer


Answer to question #17

110.85 sq. ft


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


Answer to question #18

10/25 = 2/5 = .4


19. Geometric Probability

Find the area of the sector (inside the central angle).

4 cm

120º

Answer


Answer to question #19

16.76 sq cm


20. Geometric Probabilities

Find the probability that a point chosen at random lies in the shaded region.

10 cm

Answer

10 cm


Answer to question #20

.215


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