Respuesta :

Answer:

x = 3.6

Step-by-step explanation:

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

[tex]\frac{6}{x}[/tex] = [tex]\frac{4}{6-x}[/tex] ( cross- multiply )

6(6 - x) = 4x

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

36 = 10x ( divide both sides by 10 )

3.6 = x