Question

Geometry N.6 Properties of parallelograms LLK If AB = 2v - 3 and AD = 6v - 55, find the value of v in parallelogram BCDE. E B А D с V​

Answer 1

v = 13

Explanation:

The diagonals of a parallelogram bisect each other, so AB ≅ AD. This relation gives rise to an equation we can solve for v.

2v -3 = 6v -55

52 = 4v . . . . . . . . . add 55-2v to both sides

13 = v . . . . . . . divide by 4

The value of v is 13 in this parallelogram.