Point M lies between points L and N on Line segment L N .
The space between L and M is 10 x + 8. The space between M and N is 5 x minus 4.
If LN = 12x + 16, what is the length of Line segment L N in units?
16 units
40 units
48 units
64 units
Answers
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2
Answer:
64 units
Step-by-step explanation:
As per the question, LN = LM + MN
Given,
LN = 12x + 16, LM = 10x + 8 , MN = 5x - 4
=> 12x + 16 = 10x + 8 + 5x - 4
=> 12x + 16 = 15x + 4
=> 3x = 12
=> x = 4 units.
Thus length of LN = 12 *4 + 16 = 64 units
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