Question

Solve for x ?

Not drawn to scale

Answer 1

Answer: 3

Explanation:

The triangles are similar using the angle-angle similarity theorem.

Using the fact that similar triangles have proportional side lengths yields:

`(5x-7)/(4)=(18)/(9)\\\\(5x-7)/(4)=2\\\\5x-7=8\\\\5x=15\\\\x=3`