Question

This is my question​

Answer 1

Answer/Step-by-step explanation:

∆ABC is similar to ∆CDE. Therefore, the ratio of their corresponding sides are proportional.

This,

`(DE)/(AB) = (DC)/(AC)`

`(4)/(3) = (x + 3)/(x + 1)`

Solve for x

`4(x + 1) = 3(x + 3)`

`4x + 4 = 3x + 9`

`4x + 4 - 4 = 3x + 9 - 4`

`4x = 3x + 5`

`4x - 3x = 3x + 5 - 3x`

`x = 5`

Use the value of x to find AC and DC

`AC = x + 1 = 5 + 1 = 6`

`DC = x + 3 = 5 + 3 = 8`