Question

In the figure above AB = 4x + 6 and BC = 7x + 15. If AC = 120, find the length of segment AB.

Answer 1

x = 9

Explanation:

AB = 4x + 6 and BC = 7x + 15 AC is the sum of AB and BC

so 4x + 6 + 7x + 15 = 120 add like terms

11x + 21 = 120 subtract 21 from both sides

11x = 99 divide both sides by 11

x = 9