Final answer:
To find the length of bar (OP), we use the formula for the length of a line segment and solve an equation to determine the value of x. Substituting the value of x back into the equation gives us the numerical length of bar (OP), which is 1.
Step-by-step explanation:
To find the length of bar (OP), we can use the formula for the length of a line segment, which is the difference between the coordinates of the two endpoints. In this case, the coordinates of O and P are given by OQ = OP + PQ. So, we can substitute the given values into the equation and solve for OP.
Given OQ = 3x - 10, OP = x - 3, and PQ = 1, we can write the equation:
3x - 10 = (x - 3) + 1
Now, we can solve the equation to find the value of x:
3x - 10 = x - 2
2x = 8
x = 4
Substituting the value of x back into the equation for OP:
OP = 4 - 3 = 1
Therefore, the numerical length of bar (OP) is 1.
Learn more about Length of a line segment