Answer:
\(7x-7\)
Step-by-step explanation:
We have been given that \(PR=4x-2\) and \(RS=3x-5\). We are asked to find the expression that represents length of PS.
We know that \(PS=PR+RS\).
Upon substituting our given values in above equation, we will get:
\(PS=4x-2+(3x-5)\)
\(PS=4x-2+3x-5\)
\(PS=4x+3x-2-5\)
\(PS=7x-7\)
Therefore, the expression \(7x-7\) represents length of PS.