Question

Solve for x. Round to the nearest tenth if necessary.

Answer 1

x = 19

Explanation:

Since, both the triangles (small and large) given in the picture are similar,

Their corresponding sides will be in the same ratio.

By applying this property,

`(20)/(36)= (30)/(30+(x+5))`

`(5)/(9)= (30)/(x+35)`

5(x + 35) = 9 × 30

5x + 175 = 270

5x = 270 - 175

5x = 95

x =
`(95)/(5)`

x = 19