Point O is on line segment start overline, N, P, end overline 
NP
 . Given O, P, equals, 2OP=2 and N, O, equals, 17, commaNO=17, determine the length start overline, N, P, end overline, . 
NP
 .

Let's solve the problem step-by-step to find the length of \( \overline{NP} \).

### Given:
1. Point \( O \) is on the line segment \( \overline{NP} \).
2. \( OP = 2 \)
3. \( NO = 17 \)

### To Find:
The length of \( \overline{NP} \).

### Solution:

Since point \( O \) is on the line segment \( \overline{NP} \), we can say:

\[
NP = NO + OP
\]

Now, substitute the given values:

\[
NP = 17 + 2
\]

\[
NP = 19
\]

### Conclusion:

The length of \( \overline{NP} \) is \( \boxed{19} \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the midpoint of a line segment, and how is it calculated?
2. How do you find the length of a line segment when given coordinates of its endpoints?
3. How can you determine if three points are collinear?
4. What is the distance formula in a coordinate plane?
5. How is the section formula used to divide a line segment in a given ratio?

**Tip:** When solving geometry problems, always visualize the problem with a diagram to understand the relationships between points and lines.

Point O is on line segment NP. Given OP = 2 and NO = 17, determine the length of NP.

Solve the geometry problem where point O is on line segment NP. Given OP = 2 and NO = 17, learn how to find the length of NP using the Segment Addition Postulate. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation