Question

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

Explanation:

Step1: Apply segment - addition postulate

We know that $TR=TS + RS$. Given $TS = 3x - 4$ and $TR=4x + 1$. Let $RS$ be the unknown segment. Then $RS=TR - TS$.

Step2: Substitute the expressions

$RS=(4x + 1)-(3x - 4)$.

Step3: Simplify the expression

$RS = 4x+1 - 3x + 4$. Combine like - terms: $(4x-3x)+(1 + 4)=x + 5$.

Answer:

C. $x + 5$