Question

Find the value of x.

Answer 1

x = 4

Explanation:

Since ∆ABC ~ ∆DBE, therefore:

`(10 - x)/(x) = (3)/(2)`

Cross multiply

`2(10 - x) = 3(x)`

`20 - 2x = 3x`

Add 2x to both sides

`20 - 2x + 2x = 3x + 2x`

`20 = 5x`

Divide both sides by 5

4 = x

x = 4