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Paraphin [41]
3 years ago
8

Someone quickly help!!

Mathematics
2 answers:
zaharov [31]3 years ago
4 0

Let's go:


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


I hope I helped you.


Xelga [282]3 years ago
4 0

Answer:

<h2>x = 3</h2>

Step-by-step explanation:

Use Angle bisector theorem <em>(look at the picture)</em>

<em />

\dfrac{24}{9x-9}=\dfrac{32}{6x+6}\qquad\text{cross multiply}\\\\24(6x+6)=32(9x-9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(24)(6x)+(24)(6)=(32)(9x)+(32)(-9)\\\\114x+144=288x-288\qquad\text{subtract 144 from both sides}\\\\144x=288x-432\qquad\text{subtract}\ 288x\ \text{from both sides}\\\\-144x=-432\qquad\text{divide both sides by (-144)}\\\\x=3

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