Answer: OQ=20
Explanation:
Given that point P is on line segment OQ, and that OQ = 2x, OP = x, and PQ = 10, we can determine the numerical length of OQ.
To find the length of OQ, we need to find the value of x.
Since OP + PQ = OQ, we can substitute the given values into this equation:
x + 10 = 2x
By subtracting x from both sides of the equation, we get:
10 = x
Therefore, x is equal to 10.
To find the numerical length of OQ, we substitute the value of x back into the original equation:
OQ = 2x = 2 * 10 = 20
So, the numerical length of OQ is 20 units.