Respuesta :

Answer:

MJ = 9

Step-by-step explanation:

Since JK is parallel to MN and MN intersects the 2 sides, then MN divides the 2 sides in proportion, that is

[tex]\frac{LM}{MJ}[/tex] = [tex]\frac{LN}{NK}[/tex], substitute values

[tex]\frac{12}{MJ}[/tex] = [tex]\frac{20}{15}[/tex] ( cross- multiply )

20MJ = 180 ( divide both sides by 20 )

MJ = 9