In parallelogrammnop, pk=5x andkn=x2−14 . what is pn? 7 36 70 100

  (c)  pn = 70

Step-by-step explanation:

If k is the point of intersection of the diagonals, then ...

  pk = kn

  5x = x^2 -14

  x^2 -5x -14 = 0 . . . . subtract 5x

  (x -7)(x +2) = 0 . . . . factor

The positive solution is x = 7.

  pk = 5x = 5·7 = 35 . . . . pn is twice as long.

  pn = 70

the correct answer to your question is a. 4^4

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