9514 1404 393
Answer:
x = 22.5
Step-by-step explanation:
The angle bisector divides the triangle sides proportionally.
x/30 = 24/32
x = 30(24/32)
x = 22.5
8/10 is greater than 63/100 because when 8/10 is turned into a percentage it is greater
GIVEN:

remember:

And

SOLVE:
start by multiplying the factors:

simplify by combing like terms. Most terms subtract off, leaving:

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

I'm not exactly sure what form they want the answer in...
so taking the square root:

so my best answer is:

or the more factored form:

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.
sorry for not coming to a definitive answer!