Answer:
[tex]x = 4.5[/tex]
Step-by-step explanation:
Given
[tex]PR = 28[/tex]
[tex]PQ = 2x + 5[/tex]
Required
Find x
Since Q is a bisector of PR; This mean PR is divided into exactly two equal parts;
Hence:
[tex]PR = 2 * PQ[/tex]
Substitute values for PR and PQ
[tex]28 = 2 * (2x + 5)[/tex]
Divide both sides by 2
[tex]\frac{1}{2} * 28 =\frac{1}{2} * 2 * (2x + 5)[/tex]
[tex]14 = 2x + 5[/tex]
Solve for 2x
[tex]2x = 14 - 5[/tex]
[tex]2x = 9[/tex]
Solve for x
[tex]x = \frac{9}{2}[/tex]
[tex]x = 4.5[/tex]
