Question

Q bisects PR. If PR = 28, and PQ= 2x+5, what is the value of x?

Answer 1

x = 4.5

Step-by-step explanation:

Since Q bisects PR, it means that Q divides the line PR exactly by half.

This means PQ = QR

Given:

PR = 28

PQ = 2x + 5

To find x, we have:

`\begin{gathered} (28)/(2)=2x\text{ + 5} \\ \\ 14\text{ = 2x + 5} \end{gathered}`

Solve for x:

Subtract 5 from both sides:

`\begin{gathered} 14\text{ - 5 = 2x + 5 - 5} \\ \\ 9\text{ = 2x} \end{gathered}`

Divide both sides by 2:

`\begin{gathered} (9)/(2)\text{ = }(2x)/(2) \\ \\ 4.5\text{ = x} \end{gathered}`

x = 4.5