Point P is on line segment overline (OQ) Given OQ=4x-10,OP=2x and PQ=x determine the numerical length of overline (OP) Answer Attempt 2 out of 2 OP=

## Step 1: Setting up the Equation<br />### Since P is on the line segment OQ, we know that $OP + PQ = OQ$. We are given $OQ = 4x - 10$, $OP = 2x$, and $PQ = x$. Substituting these values into the equation gives us $2x + x = 4x - 10$.<br /><br />## Step 2: Solving for x<br />### Combine like terms: $3x = 4x - 10$. Subtract $4x$ from both sides: $-x = -10$. Multiply both sides by -1: $x = 10$.<br /><br />## Step 3: Finding OP<br />### We are asked to find the length of $\overline{OP}$. We know $OP = 2x$. Substitute $x = 10$: $OP = 2(10) = 20$.