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