Respuesta :
Given:
Point Q is on line segment PR.
QR = 3x, PQ = x + 6, and PR = 5x – 4.
To find:
The numerical length of PQ.
Solution:
Since, point Q is on line segment PR, so by segment addition property, we get
[tex]PR=PQ+QR[/tex]
[tex]5x-4=(x+6)+3x[/tex]
[tex]5x-4=4x+6[/tex]
[tex]5x-4x=4+6[/tex]
[tex]x=10[/tex]
The value of x is 10.
Now,
[tex]PQ=x+6[/tex]
Putting x=10, we get
[tex]PQ=10+6[/tex]
[tex]PQ=16[/tex]
Therefore, the numerical length of PQ is 16 units.
