**Geometry Problem: Calculating the Measure of LM in a Triangle****Problem Description:**In the diagram below of triangle \( \triangle LMN \), \( O \) is the midpoint of \( \overline{LN} \) and \( P \) is the midpoint of \( \overline{MN} \). If \( OP = -4 + 9x \) and \( LM = 3 + 7x \), what is the measure of \( \overline{LM} \)?**Diagram Explanation:**The diagram shows triangle \( \triangle LMN \) with midpoints marked as follows:- Point \( O \) is the midpoint of side \( \overline{LN} \).- Point \( P \) is the midpoint of side \( \overline{MN} \).**Equation and Calculation:**1. Given: \[ \overline{OP} = -4 + 9x \] \[ \overline{LM} = 3 + 7x \]2. The midsegment \( \overline{OP} \) of the triangle \( \triangle LMN \) is parallel to the third side \( \overline{LM} \) and half its length: \[ \overline{OP} = \frac{1}{2} \overline{LM} = \frac{1}{2}(3 + 7x) \]3. Set up the equation: \[ -4 + 9x = \frac{1}{2}(3 + 7x) \]**Answer Calculation Box:**\[\text{Answer: } \quad \overline{LM} = \quad \text{[Input Box to enter the calculated value]}\][Submit Answer Button]**Attempts:**- Attempt 1 out of 2.

Name: **Geometry Problem: Calculating the Measure of LM in a Triangle****Pr
Uploaded: 2024-03-20T06:47:08.000Z
Channel: Bartleby
Description: **Geometry Problem: Calculating the Measure of LM in a Triangle****Problem Description:**In the diagram below of triangle \( \triangle LMN \), \( O \) is the midpoint of \( \overline{LN} \) and \( P \) is the midpoint of \( \overline{MN} \). If \( O