Question

1. if s is the mid - point of rt, rs = 5x + 17, and st = 8x - 31, find rs.

Explanation:

Step1: Set up equation

5x + 17=8x - 31

Step2: Isolate x terms

3x = 48

Step3: Solve for x

x = 16

Step4: Find RS

RS = 5×16 + 17 = 97

Answer:

Since S is the mid - point of RT, then RS = ST.
Set 5x + 17=8x - 31.
Solve for x:
3x = 48, so x = 16.
RS = 5x+17 = 5×16 + 17=97.