Midpoint in mathematics is defined as the distance between two points on a line.
From the above question: Our line is called RT. The points on line RT are: RS and ST. S is the midpoint.
Given that:
RS=5x+17
ST=8x-31
Mathematically, we have the expression:
RS = RT
5x + 17 = 8x - 31
Collect like terms
8x - 5x = 31 + 17
3x = 48
Divide both sides by 3
3x/3 = 48/3
x = 18
We are to find RS, RS=5x+17
x = 18
RS = 5(18) + 17
RS = 90 + 17
RS= 107
Therefore, the value of RS = 107
To learn more kindly visit the link below: https://brainly.com/question/11287628
