Question

Find the value of x.

Answer 1

x = 4

Explanation:

In
`\triangle BAC, \: DE || AC`

Hence, by basic proportionality theorem:

`(x + 2)/(x) = (3)/(2) \\ \\ \therefore \: 2(x + 2) = 3x \\ \therefore \:2x + 4 = 3x \\ \therefore \:4 = 3x - 2x \\ \therefore \:4 = x \\ \huge \red { \boxed{\therefore \:x = 4}}`