Point p is on line segment OQ. Given PQ=x+7,OP=4x-10,and OQ=4x, determine the numerical length of oq

Given:

Point P is on line segment OQ.

PQ=x+7,OP=4x-10,and OQ=4x.

To find:

The numerical length of OQ.

Solution:

Since, point P is on line segment OQ, so by segment addition property, we get

The value of x is 3.

Now,

Putting x=3, we get

Therefore, the numerical length of OQ is 12 units.

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