Question

which expression represents the measure of segment rs? 7x - 3 7x + 5 x + 5 x - 3

Explanation:

Step1: Use segment - addition postulate

By the segment - addition postulate, \(TR=TS + SR\). Also, \(TR = 4x + 1\) and \(TS=3x - 4\). Let \(SR=y\). Then \(4x + 1=(3x - 4)+y\).

Step2: Solve for \(y\) (which is \(RS\))

$$
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So the measure of segment \(RS\) is \(x + 5\).

Answer:

C. \(x + 5\)