Question

Please help!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

x = 3

Step-by-step explanation:

Since the angle at the vertex is bisected then the following ratio is true

$\frac{32}{24}$ = $\frac{6x+6}{9x-9}$, that is

$\frac{4}{3}$ = $\frac{6x+6}{9x-9}$ ( cross- multiply )

4(9x - 9) = 3(6x + 6) ← distribute parenthesis on both sides

36x - 36 = 18x + 18 ( subtract 18x from both sides )

18x - 36 = 18 ( add 36 to both sides )

18x = 54 ( divide both sides by 18 )

x = 3