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+1, 2x, 20-x, 4x-3

Step-by-step explanation: frist one 20-5=15

> 2*5=10>5+1=6>4*5-3=17

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