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Solve for X. Thank you

Solve for X. Thank you-example-1
User Frozenskys
by
8.6k points

1 Answer

3 votes

Answer:

x = 4

Explanation:

The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is


(15)/(20) =
(x+2)/(14-(x+2))


(3)/(4) =
(x+2)/(14-x-2) =
(x+2)/(12-x) ( cross- multiply )

4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )

4x + 8 = 36 - 3x ( add 3x to both sides )

7x + 8 = 36 ( subtract 8 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

User Jst
by
8.8k points

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