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43 votes
43 votes
What is value of x? Enter your answer in the box.​

What is value of x? Enter your answer in the box.​-example-1
User Madiver
by
3.2k points

1 Answer

21 votes
21 votes

Answer:

x = 10

Explanation:

the ray is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is


(x+4)/(2x +1) =
(8)/(12) =
(2)/(3) ( cross- multiply )

2(2x + 1) = 3(x + 4) ← distribute parenthesis

4x + 2 = 3x + 12 ( subtract 3x from both sides )

x + 2 = 12 ( subtract 2 from both sides )

x = 10

User Dotnix
by
2.8k points
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