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a line segment is divided into two segments that are in a ratio 4 to 7. the measure of one segment is 15 inches longer than the measure of the other. Find the measure of each segment.

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X/Y = 4/7 or y = 7x/4
y = X + 15
7X/4 = X + 15 or 7X = 4X + 60
3X = 60 making X = 20 and Y = 35.

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