Point Q is on line segment PR. Given QR = 3x, PQ = x + 6, and PR = 5x – 4, determine the numerical length of PQ.

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

The value of x is 10.

Now,

Putting x=10, we get

Therefore, the numerical length of PQ is 16 units.

x = 23.78

step-by-step explanation:

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.