Question

Point Q is the midpoint of segment PR. QR = 18 and PR = 5x+6. Erica wrote 5x+6=185x=12x=2.4 Is she correct?

Answer 1

No, Erica's calculation is wrong

Step-by-step explanation:
`\begin{gathered} QR\text{ = 18} \\ PR\text{ = 5x + 6} \\ Q\text{ is the midpoint of PR: } \\ \text{This means PR }is\text{ divided into two equal halves} \end{gathered}`
`\begin{gathered} PR\text{ = PQ + QR} \\ PQ\text{ = not given but} \\ PQ\text{ = QR =18 (equal)} \end{gathered}`

`\begin{gathered} 5x\text{ }+\text{ 6 = 18 + 18} \\ 5x\text{ + 6 = 36} \\ 5x\text{ = 36 - 6} \\ 5x\text{ = 30} \\ x\text{ = 30/5 = 6} \\ \text{Erica's calculation is wrong as she wrote }PR\text{ = QR } \\ 5x\text{ + 6 = 18} \\ \text{instead of PR = PQ + QR} \\ \text{Erica is wrong} \end{gathered}`