Question

1. K is the midpoint of HN. HK = 4x + 5 and HN = 11x – 11. Solve for x and find KN.

Answer 1

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