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What is the value of x?

Enter your answer in the box.

x =
​​

What is the value of x? Enter your answer in the box. x = ​​-example-1

1 Answer

3 votes

Answer:

The value of
x is 5.

Explanation:

Firstly, we'll name as P the point of intersection between the internal line of the triangle (that comes from the point A) with the side BC.

By the Angle Bisector Theorem, we can write the following relation


(AB)/(BP)=(AC)/(PC)\\\\(9)/(2x-1)=(15)/(3x)\\\\(9)/(2x-1)=(5)/(x)\\\\9x = (2x-1)\cdot5\\\\9x = 10x - 5\\\\\boxed{x=5}

User Sergei Shvets
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