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Answer:
LN = 15
Step-by-step explanation:
The arrows on the line segments indicate they are parallel.
<u>Triangle Proportionality Theorem</u>
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then it divides these two sides <u>proportionally</u>.
Given:
- LM = 6
- JL = 30
- JK = 18
⇒ LK = JL - JK = 30 - 18 = 12
Substituting the values into the equation and solving for LN: