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Geometry
What is the value of x?

Geometry What is the value of x?-example-1

1 Answer

2 votes

Answer:

x = 17 1/3

Explanation:

Corresponding segments are proportional.

(3x)/(4x) = (3x +7)/(5x -8)

3(5x -8) = 4(3x +7) . . . . . . . . multiply by 4(5x-8)

15x -24 = 12x +28 . . . . . . eliminate parentheses

3x = 52 . . . . . . . . . . add 24-12x

x = 17 1/3 . . . . . . . . . divide by 3

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