(please help medal given to best answer)
Solve for x.
A. x=16
B. x= 6
C. x= 13
D. x= 17

Question

(please help medal given to best answer)
 Solve for x.
A. x=16
B. x= 6
C. x= 13 
D. x= 17

zolock · Answer

attachment

zolock · Answer

@mathstudent55  after your done can you please help me out with one more question

zolock · Answer

@mathstudent55  after your done can you please help me out with one more question

mathstudent55 · Answer

There is a theorem about this.

mathstudent55 · Answer

Triangle Angle Bisector Theorem:
An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle.

mathstudent55 · Answer

|dw:1428895617144:dw|

mathstudent55 · Answer

In triangle XYZ, angle YXZ is bisected, so angles 1 and 2 are congruent.

mathstudent55 · Answer

According to the theorem above, then

$\dfrac{a}{b} = \dfrac{c}{d} $

zolock · Answer

the answer is 6 right ?

zolock · Answer

when you said the theorem i suddenly remembered

mathstudent55 · Answer

$\dfrac{18}{2x - 3} = \dfrac{24}{x + 6} $

$18x + 108 = 48x - 72$

$180 = 30x$

$x = 6$

mathstudent55 · Answer

You are correct.

zolock · Answer

thank you