Question

Point Q is on line segment PR. Given QR = 3x, PQ = x + 6, and

Answer 1

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

$PR=PQ+QR$

$5x-4=(x+6)+3x$

$5x-4=4x+6$

$5x-4x=4+6$

$x=10$

The value of x is 10.

Now,

$PQ=x+6$

Putting x=10, we get

$PQ=10+6$

$PQ=16$

Therefore, the numerical length of PQ is 16 units.