ANSWER:
x = 4.5
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:
[tex]\begin{gathered} \frac{28}{2}=2x\text{ + 5} \\ \\ 14\text{ = 2x + 5} \end{gathered}[/tex]Solve for x:
Subtract 5 from both sides:
[tex]\begin{gathered} 14\text{ - 5 = 2x + 5 - 5} \\ \\ 9\text{ = 2x} \end{gathered}[/tex]Divide both sides by 2:
[tex]\begin{gathered} \frac{9}{2}\text{ = }\frac{2x}{2} \\ \\ 4.5\text{ = x} \end{gathered}[/tex]x = 4.5
