The correct answer to the question is: x = 17.5, LN = 105
From the question given above, we obtained the following:
LN = 6x
LM = 4x + 8
MN = 27
x =?
LN =?
The value of x can be obtained as follow:
LN = LM + MN
6x = 4x + 8 + 27
6x = 4x + 35
Collect like terms
6x – 4x = 35
2x = 35
Divide both side by 2
x = 35 / 2
x = 17.5
Finally, we shall determine the value of LN.
x = 17.5
LN =?
LN = 6x
LN = 6(17.5)
LN = 105
SUMMARY:
x = 17.5
LN = 105
Therefore, the correct answer to the question is: x = 17.5, LN = 105
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