Question

Please help find the value of x

Answer 1

Answer:

x = 4

Step-by-step explanation:

Since DE is parallel to AC and it intersects the 2 sides, then

It divides AB and BC proportionally, that is

$\frac{x+2}{x}$ = $\frac{3}{2}$ ( cross- multiply )

3x = 2(x + 2)\

3x = 2x + 4 ( subtract 2x from both sides )

x = 4