Please help giving brainlist last question

Answer:
option 3
Step-by-step explanation:
the ray is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is
[tex]\frac{x}{12-x}[/tex] = [tex]\frac{5}{4}[/tex] ( cross- multiply )
4x = 5(12 - x)
4x = 60 - 5x ( add 5x to both sides )
9x = 60 ( divide both sides by 9 )
x = [tex]\frac{60}{9}[/tex]
None of the choices are the value of x