Question

Please help with this question!

Answer 1

Answer:

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

Step-by-step explanation:

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

Thus:

$\frac{2x + 4}{x + 3} = \frac{7}{4}$

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