Question

Proportions in similar triangles

Answer 1

Answer:

x = 4

Step-by-step explanation:

Given that DE is parallel to AC then DE divides the sides proportionally, so

$\frac{BD}{DA}$ = $\frac{BE}{EC}$ , substitute values

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

3x = 2(x + 2) ← distribute

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

x = 4