Answer:
The value of x is 11.
Explanation:
Since R is the midpoint of QS, we know that QR = RS. We are given that QR = 5x - 7 and QS = 96, so we can set up the following equation:
5x - 7 = 96 / 2
Simplifying the right-hand side of the equation, we get:
5x - 7 = 48
Adding 7 to both sides of the equation, we get:
5x = 55
Dividing both sides of the equation by 5, we get:
x = 11
Therefore, the value of x is 11.