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 best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

u also answered this so i think u would know but i am here to

put in or use mine