TremonF492394 TremonF492394

30-10-2022
Mathematics

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if LN=3x-12, LM=20 and MN=x-2 find MN

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JamiracleC579466 JamiracleC579466

30-10-2022

LN + NM = LM

(3x - 12) + NM = 20

NM= 20 - 3x +12

Now replace NM = MN

x - 2= 20 - 3x + 12

Now find x

x + 3x = 20 + 12 + 2

4x = 34

x= 34/4= 17/2= 8.5

Now replace x in MN

MN= x-2 = 8.5 - 2= 6.5

Then

MN= 6.5

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