Question

What is the value of x given that AE || BD

Answer 1

The value of x is
`7(4)/(5)`.

Explanation:

Given information: AE || BD

So, the triangle ACE and BCD are similar triangle, therefore their corresponding sides are proportional.

`(AC)/(BC)=(EC)/(DC)`

`(AB+BC)/(BC)=(ED+DC)/(DC)`

`(x+13)/(13)=(3+5)/(5)`

`5(x+13)=13* 8`

`5x+65=104`

`5x=39`

`x=(39)/(5)=7(4)/(5)`

Therefore the value of x is
`7(4)/(5)`.