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Answer :
Final answer:
The length of segment LM in this geometry problem is 9, based on the properties of midpoints and line segments.
Explanation:
This question is about the geometry, specifically dealing with line segments and their lengths. Let's start with the provided information: L is the midpoint of JM which means JL and LM are equal lengths, and K is the midpoint of JL, which means JK and KL are equal lengths.
Given that JK = 9, we can conclude that KL is also 9 because K is the midpoint of JL. Then, since JKL is half of JM, the length of JM must be 2 times JK (or 2 times KL), therefore, JM = 2 * 9 = 18.
Since L is the midpoint of JM, the lengths of JL and LM are also equal. Therefore, the length LM is half the length of JM, which is 18/2 = 9.
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Rewritten by : Barada
Answer: LM=18
Step-by-step explanation:
JK=9
JK=JL/2
9=JL/2
JL=18
JL=LM
LM=18
