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x=8

KN=24

LK is congruent to LM

LN is congruent to NL

x = 8

             MN = 52

             LK is congruent to LM

             LN is  congruent to NL

ΔKLN and ΔMLN have:

LN ≅ LN

∠K = ∠M = 90°

∠KLN = ∠MLN

=> ΔKLN ≅ ΔMLN

=> KN = MN

=> 7x -4 = 5x + 12

⇔ 2x = 16

⇔ x = 8

=> KN = MN = 7.8 - 4 = 52

Step-by-step explanation:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral