Question
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=
Solution
4.4
(282 Votes)
Ryan
Elite ยท Tutor for 8 years
Answer
### 20
Explanation
## Step 1: Setting up the Equation### Since P is on the line segment OQ, we know that
. We are given
,
, and
. Substituting these values into the equation gives us
.## Step 2: Solving for x### Combine like terms:
. Subtract
from both sides:
. Multiply both sides by -1:
.## Step 3: Finding OP### We are asked to find the length of
. We know
. Substitute
:
.