Question

determining a missing length
which expression represents the measure of segment rs?
$4x + 1$
$3x - 4$
$x - 3$
$x + 5$
$7x + 5$
$7x - 3$

Explanation:

Step1: Use segment addition postulate

By segment addition postulate, \(TR = TS+SR\). Given \(TR = 4x + 1\), \(TS=3x - 4\), and \(SR\) is what we need to find. Let \(SR=y\). Then \(4x + 1=(3x - 4)+y\).

Step2: Solve for \(y\)

Rearrange the equation \(y=(4x + 1)-(3x - 4)\).

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Answer:

\(x + 5\)