Line pq is parallel to bc and splits ab into lengths of x + 8 and x. the other side, ac, is split into lengths of x + 13 and x + 1. what is the length of ac? image not to scale. a) 12 b) 14 c) 16 d) 18

We will work on the value of x.

(x +8) (x + 1) = x ( x+3)

X² + 9x +8 = x² + 13x

13x - 9x = 8

4x = 8

X= 8/4

X=2

Solve for the length of AC by substituting the

Value of x.

Then: x +13 and x+1

     X+X+ 13+1

     2 +2 +13 + 1

=  18

Line segment AC then is 18.

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true? is that what you're asking or do you mean something else?