Question

Find the value of X.

Answer 1

Answer:

x=3

Solution,

Theorem:

The angle bisector theorem states that if a ray bisects an angle of a triangle,then it divides the opposite side into two segments that are proportional to other two sides.

By the theorem,

$\frac{24}{9x - 9} = \frac{32}{6x + 6} \\ or \: 24(6x + 6) = 32(9x - 9) \\ or \: 144x + 144 = 288x - 288 \\ or \: 144x - 288x = - 288 - 144 \\ or \: - 144x = - 432 \\ or \: x = \frac{ - 432}{ - 144} \\ x = 3$

hope this helps...

Good luck on your assignment..

Answer 2

Answer:

x = 3 :)

Step-by-step explanation:

(24 / (9x - 9)) = (32 / (6x+6))

24 (6x + 6) = 32 (9x - 9)

144x +144 = 288x - 144

-144x = -432

x = (-432 / -144)

x = 3