Question

Can anyone help me as soon as possible??

Answer 1

x = 16

Explanation:

Δ AED and Δ ACB are similar thus the ratios of corresponding sides are equal, that is

`(ED)/(CB)` =
`(AD)/(AB)` , substitute values

`(11)/(8)` =
`(6+x)/(x)` ( cross- multiply )

11x = 8(6 + x) ← distribute

11x = 48 + 8x ( subtract 8x from both sides )

3x = 48 ( divide both sides by 3 )

x = 16