Question

Which value of x would make FG || BC?

с
В
х+ 3
ОООО
х+6
6
G
F
X-1
х+1
A

Answer 1

9

Explanation:

Find the diagram attached

Using the similarity theorem

A F/F B = AG/GC

x+1/x+6 = x-1/x+3

Cross multiply

(x-1)(x+6) = (x+1)(x+3)

Expand

x²+6x-x-6 = x²+x+3x+3

5x - 6 = 4x+3

5x-4x = 3+6

x = 9

Hence the value of x is 9