Download Geometry CC Assignment #10 Ratio and Proportion 1. Two numbers

Geometry CC
Assignment #10
Ratio and Proportion
1.
Two numbers are in a 3:4 ratio. If their sum is 35, find both numbers.
2.
Two positive numbers are in a 1:3 ratio. If their product is 75, find both numbers.
3.
Two numbers are in a 7:4 ratio. If their difference is 33, find the numbers.
4.
The measures of the sides of a triangle are in the ratio 5:6:7. Find the measure of each
side if the perimeter of the triangle is 72 inches.
5.
The length and width of a rectangle are in the ratio 5:8. If the perimeter of the rectangle is
156 feet, what are the length and width of the rectangle?
6.
Two supplementary angles are in a 1:5 ratio. What is the measure of the larger angle?
7 – 11: Find the value of each variable.
7.
x 1

8 2
8.
3x
9
15
10.
5p 2p  4

3
2
11.
y4 1

9
3
9.
2x  5
x
3
R1. Mr. Santana wants to carpet exactly half of his rectangular living room. He knows that the
perimeter of the room is 96 feet and that the length of the room is 6 feet longer than the
width. How many square feet of carpeting does Mr. Santana need?
R2. Find the area of the triangle to the nearest tenth of a square unit.
R3. The lengths of three sides of a triangle are 5, 7 and 8. Can it be a right triangle?
Show all work.
R4. Can the sides of a triangle be represented by 3, 4, 4? Why or why not?
R5. If  EFH is an exterior angle of FGH, m  EFH = 125, m  G = 65, m  H = 60, list the
sides of FGH in order starting with the shortest.
1.
15, 20
7.
4
R1. 283.5
2.
5, 15
8.
45
R2. 34.6
3.
77, 44
9.
–5
R3. No, work
4.
20, 24, 28
10. – 3
R4. No, explain
5.
30, 48
11. 7
R5. GH < GH< FH
6.
30, 150