$\"\"$

Draw a figure to represent the given information. \

$\"\"$

From figure; equate the segment NL lengths.

$\"\"$

Apply division proparty of equality: If a = b then $\"\"$

$\"\"$ (Divide each side by 5)

$\"\"$ (Cancel commen terms)

$\"\"$ (Divide $\"\"$ ) $\"\"$ \

Length of segment $\"\"$

$\"\"$ (Substitute x = 3)

$\"\"$ (Multiply $\"\"$ ) $\"\"$

The value of x is 3.

The length of the segment LM is 9.