Question

Please help me out please

Answer 1

`\large\boxed{x=11}`

Explanation:

Use Angel Bisector Theorem (look at the picture),

`(3x-3)/(24)=(5x)/(44)\qquad\text{cross multiply}\\\\44(3x-3)=24(5x)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(44)(3x)+(44)(-3)=120x\\\\132x-132=120x\qquad\text{add 132 to both sides}\\\\132x=120x+132\qquad\text{subtract}\ 120x\ \text{from both sides}\\\\12x=132\qquad\text{divide both sides by 12}\\\\x=11`