Answer:
PS = 116
Step-by-step explanation:
Given:
PR = 6x + 16
RS = 12x - 26
Required:
Find PS
Solution:
Since R is the midpoint of PS, therefore,
PR = RS
6x + 16 = 12x - 26
Collect like terms
6x - 12x = -16 - 26
-6x = -42
Divide both sides by -6
x = -42/-6
x = 7
✔️PS = PR + RS (segment addition postulate)
PS = 6x + 16 + 12x - 26
Plug in the value of x
PS = 6(7) + 16 + 12(7) - 26
PS = 42 + 16 + 84 - 26
PS = 116
