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

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Answer:

(c) pn = 70

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

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