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A triangle in the coordinate plane has vertices at (−4, 0), (6, 0) and (0, 5). The line y = 5 4 x + c, where c is a positive number, divides the triangle into a trapezoid and a smaller triangle whose areas, respectively, are in the ratio \(5:2\). What is the value of c? Express your answer as a common fraction.

 Jun 5, 2022
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c = 9/5.

 Jun 5, 2022

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