Question

Just need some help!

Answer 1

x = 3

Explanation:

In triangle ABC, DE || AC

Therefore by Basic Proportionality Theorem (BPT):

`(x + 5)/(2x) = (4)/(3) \\ \\ 3(x + 5) = 4 * 2x \\ \\ 3x + 15 = 8x \\ \\ 15 = 8x - 3x \\ \\ 15 = 5x \\ \\ x = (15)/(5) \\ \\ x = 3`