#1**+2 **

If GF is parallel to AB....we have a theorem that says that a segment in a triangle drawn parallel to a base divides the sides proportionally

Specifically :

48 / 84 = 52 / [ 7x + 7]

4/7 = 52/ [7x + 7] cross-multiply

52 * 7 = 4 [ 7x + 7 ] simplify

364 = 4[ 7x + 7] divide both sides by 4

91 = 7x + 7 subtract 7 from both sides

84 = 7x divide both sides by 7

12 = x

CPhill
Feb 27, 2018