Question

For triangle ABC use the Triangle Proportionality Theorem to solve for x. Show all of your work for full credit.

Answer 1

x=17

Explanation:

See attached.

Because of the Triangle Proportionality Theorem,

24: (2x-4)+6

20: 2x-4

Cross multiply these two ratios

48x-96 = 40x-80+120

Isolate variable: 8x = 96-80+120

Solve: 8x = 136

x=17