Answer:
see explanation
Step-by-step explanation:
Since K is at the midpoint of HN then HK = KN = 4x + 5, thus
HN = HK + KN ← substitute values
11x - 11 = 4x + 5 + 4x + 5, that is
11x - 11 = 8x + 10 ( subtract 8x from both sides )
3x - 11 = 10 ( add 11 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7
Hence
KN = 4x + 5 = (4 × 7) + 5 = 28 + 5 = 33
