Question

PLEASE HELP ME SOLVE FOR X

Answer 1

Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says

`\frac x3=(x+2)/(x+4)`

Solve for
`x`:

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

`x^2+4x=3x+6`

`x^2+x-6=0`

`(x+3)(x-2)=0`

Then either
`x=-3` or
`x=2`, but since
`x` is a length, it must be positive. So x = 2.