Find x in each right triangle:
1.
2.
3.
4.
Find x and y in each right triangle.
5.
6.
7.
8.
9.
Simplify:
10.
11.
Find x and y in each figure:
12.
13.
14. The base areas of two similar prisms are 100 and 49. If the height of the larger prism is 12, find the height of the smaller.
15. A model car has a length of 50 cm, a surface area of 175 cm2 and a weight of 2 kg. The dimensions of a similar car are 12 times the dimensions of the model. Find the length, surface area, and weight of the larger car.
16. The volumes of two similar cylinders are 8 and 27. If the diameter of the smaller cylinder is 5, find the diameter of the larger.
17. Find the measure of one interior angle of a regular 16-gon
18. The sum of the measures of the interior angles of a polygon is 2700. Find the number of sides of the polygon.
19. Find the measure of one exterior angle of a regular 20-gon.
20. Find the area of a regular pentagon with a side length = 8.
21. Find the area of a regular hexagon with a side length = 10.
22. Find the length of AD in the rhombus
23. Find x and y in the parallelogram.
24. Find the area of the figure below:
25. Find the area of the figure below:
26. A square is inscribed in a circle.
Find the shaded area:
27. Find the area of a circle with a circumference of 14p.
28. Find the shaded area in the circle with center O , a central angle of 150 ° , and a radius of 4.
29. Find the length of arc AB if mÐAOB = 30° and the radius = 8.
30. m Ð COB = 20°
find m CAB
31. m Ð A = 30°
find m AB
32. m Ð A = 80°
find Ð BOC (x in diagram)
33. Find x
34. Find x
35. AB = 16, Radius = 10, find OD
36. Radius = 15, CD = 6, find AB
Find the Volume and Surface Area
for #37 – 42.
37.
38.
39.
40.
7
41.
42.
** cone surface area = rl + r