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If LM = 4x, MN = 5, and LN = 9x, what is LN?


4x

L

5

M

N

9x



Simplify your answer and write it as a proper fraction, mixed number, or integer.

Respuesta :

Step-by-step explanation:

It is given that,

LM = 4x, MN = 5 and LN = 9x

Note :Consider that L is mid point of M and N

MN = LM + LN

Putting all values, we get :

5 = 4x + 9x

5 = 13 x

x = 5/13

Put the value of x in, LN = 9x

[tex]LN=9\times \dfrac{5}{13}\\\\LN=3.461[/tex]

or

[tex]LN=\dfrac{45}{13}\\\\\text{or}\\\\LN=3\dfrac{6}{13}[/tex]

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