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xxTIMURxx [149]
3 years ago
12

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

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

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.

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