In a line segment, the total length TS = 28. Segment TR = 3m + 4 and segment RS = 2m - 1. What is the length of segment RS?

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A 5
B 9
C 19
D 28

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Answer: B. 9

Explanation: The two smaller segments add up to the total length (TR + RS = TS). Setting up the equation: (3m + 4) + (2m - 1) = 28. Simplifying gives 5m + 3 = 28, which reduces to 5m = 25, so m = 5. Substitute m = 5 back into the expression for RS: 2(5) - 1 = 9.

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In a line segment, the total length TS = 28. Segment TR = 3m + 4 and segment RS = 2m - 1. What is the length of segment RS?

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