Question

Please help with this question!

Answer 1

a. x = 5, AB = 14, BC = 8

Explanation:

✔️Both triangles are similar, therefore their side lengths are proportional to each other.

Thus:

`(2x + 4)/(x + 3) = (7)/(4)`

Cross multiply

`4(2x + 4) = 7(x + 3)`

`8x + 16= 7x + 21`

Collect like terms

`8x - 7x = -16 + 21`

`x = 5`

✔️AB = 2x + 4

Plug in the value of x

AB = 2(5) + 4

AB = 14

✔️BC = x + 3

Plug in the value of x

BC = 5 + 3

BC = 8