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Evgesh-ka [11]
3 years ago
15

In the diagram below of triangle HJKHJK, LL is a midpoint of \overline{HJ}HJ and MM is a midpoint of \overline{JK}JK. If LM=71-9

xLM=71−9x, and HK=23-xHK=23−x, what is the measure of LMLM?​
Mathematics
1 answer:
love history [14]3 years ago
3 0

Answer:

Step-by-step explanation:

Since J is the midpoint of HK,  then HJ=JK   and 3x+5=9x-3  solve for x

6x=8   x=8/6=4/3     so HJ=3x+5=3(4/3)+5=9 = JK   HK=2(9)=18

the full segment HK is 18,  each half of it is 9 =HJ=JK

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