Question

I need to know the value of the variable x

Answer 1

x = 9

Explanation:

ΔGFE ≈ ΔCBE

so

FE/GE = BE/CE

(4x - 1)/ 60 = (x + 5)/24

Cross multiply

60(x +5) = 24(4x-1)

Distributive property

60x + 300 = 96x - 24

Subtract 96x from both sides

-36x + 300 = -24

Subtract 300 from both sides

-36x = -324

Divide both sides by -36

x = 9