Answer:
x = 9, NM = 41
Explanation:
Since KL = ML then the triangle is isosceles and LN is a perpendicular bisector, thus
NM = NK , substitute values
7x - 22 = 3x + 14 ( subtract 3x from both sides )
4x - 22 = 14 ( add 22 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Thus
NM = 7x - 22 = 7(9) - 22 = 63 - 22 = 41