Question

Quadrilateral ABCD is a parallelogram with diagonals that intersect at point E. If AD=4w-5 DE=4 BE=x/2 BC=7w-17 solve for w.

A.
w = 2
B.
w = 4
C.
w = 9
D.
w = 11

Answer 1

B. w = 4

Explanation:

As we know, in a parallelogram length of opposite sides are equal.

so, AD = BC

⇒ 4w - 5 = 7w - 17

⇒ 12 = 3w

⇒ w = 4