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Answer :
Answer:
The measurement of LM is (23 - x)/2.
Step-by-step explanation:
We are given that L is a midpoint of HJ, and M is a midpoint of JK.
This means that HL = LJ and JM = MK. We are also given that LM = 71 - 9x and HK = 23 - x. We need to find the value of LM.
Since L is the midpoint of HJ, we can write:
HL = LJ = HK/2
Since M is the midpoint of JK, we can write:
JM = MK = HK/2
Therefore, we can write:
LM = HL + JM = HK/2 + HK/2 = HK
Now we can substitute HK = 23 - x into the expression for LM:
LM = (23 - x)/2
Therefore, the measurement of LM is (23 - x)/2.
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