Question

I need to know how to find x

Answer 1

x =
`(20)/(3)`

Explanation:

ΔABC and ΔEDC are similar triangles ( AA ), hence the ratios of corresponding sides are equal, that is

`(AB)/(ED)` =
`(BC)/(DC)`, substitute values

`(x)/(4)` =
`(5)/(3)` ( cross- multiply )

3x = 20 ( divide both sides by 3 )

x =
`(20)/(3)`