Answer:
x = 5
Explanation:
We can see that the line segment RP is divided into RQ and QP. Therefore, we can construct the equation:
RQ + QP = RP
We are also given the line segment lengths:
- RQ = 4
- QP = x + 3
- RP = 2x + 2
So, we can plug in the given line segment lengths and solve for x:
4 + (x + 3) = 2x + 2
4 + x + 3 = 2x + 2
7 + x = 2x + 2
- x - x
7 = x + 2
5 = x