Point M is on line segment LmN. Given L N = 4x, M N = x, andL M= 3, determine the numerical length of L N.

asked Dec 2, 2023 114k views

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We determine the numerical length of LN as follows:

$LN=LM+MN\Rightarrow4x=x+3$
$\Rightarrow3x=3\Rightarrow x=1$

From this, we replace the value of x and we will get:

$LN=4x\Rightarrow LN=4$

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