Question

If ∆GFE ~ ∆CBE, find the value of x

Answer 1

2/5 x 60 = 24
2/5 x (4x - 1) = x+5
8x - 2 = 5x + 25
3x = 27
x = 9
The value of x is 9

Answer 2

$\dfrac{4x - 1}{x + 5} = \dfrac{60}{24}$

$\dfrac{4x - 1}{x + 5} = \dfrac{5}{2}$

$5(x + 5) = 2(4x - 1)$

$5x + 25 = 8x - 2$

$-3x = -27$

$x = 9$