Answer:
- 8) x = 6.5, 9) x = 7, 10) x = 13
Explanation:
We have similar figures given.
The ratio of corresponding sides of similar figures is same as per definition of similarity.
Use this property and solve each question.
Question 8
- x/13 = 13/26
- x/13 = 1/2
- x = 13/2
- x = 6.5
Question 9
- 4/(x + 5) = 3/9
- 4/(x + 5) = 1/3
- x + 5 = 4*3
- x + 5 = 12
- x = 7
Question 10
Considering x is positive, PS and MN are longer legs of right triangles.
- (x + 2)/10 = (x - 1)/8
- 10(x - 1) = 8(x + 2)
- 10x - 10 = 8x + 16
- 10x - 8x = 16 + 10
- 2x = 26
- x = 13