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Answer: 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: