Question

I didn't understand this question on my practice quiz. Can someone please explain?

Answer 1

x = 3.6

Explanation:

the ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is

`(6)/(x)` =
`(4)/(6-x)` ( cross- multiply )

6(6 - x) = 4x

36 - 6x = 4x ( add 6x to both sides )

36 = 10x ( divide both sides by 10 )

3.6 = x