Question

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

Answer 1

x = 3

Explanation:

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

`(32)/(24)` =
`(6x+6)/(9x-9)`, that is

`(4)/(3)` =
`(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