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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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Use ratios
4 : 7 : 7-4=3
X : Y : 15"

Cross multiply with X:
X=4*15/3=20
Cross multiply with Y:
Y=7*15/3=35

Check: Y-X=15, Y/7=X/4=5 OK

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