Question

Proportions in similar triangles

Answer 1

x = 4

Explanation:

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

`(BD)/(DA)` =
`(BE)/(EC)` , substitute values

`(x+2)/(x)` =
`(3)/(2)` ( cross- multiply )

3x = 2(x + 2) ← distribute

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

x = 4