Answer:
The value of x is 6
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Q is the mid-point of the segment PR
∵ Q is the mid-point of segment PR
∴ Q divided the segment PR into two equal parts
- When point Q divided the segment PR into two equal parts,
then the two parts are PQ and QR
∴ PQ = QR
∵ PQ and QR are 7x - 16 and 4x + 2
∴ 7x - 16 = 4x + 2
- Subtract 4x from both sides
∴ 7x - 4x - 16 = 2
∴ 3x - 16 = 2
- Add 16 to both sides
∴ 3x = 2 + 16
∴ 3x = 18
- Divide both sides by 3
∴ x = 6
∴ The value of x is 6
