Question

EFGD is a parallelogram. Find x.

A. 1
B. 7
C. 11
D. 6

and,

If ABCD is a parallelogram, what is the length of BD?

A. 10
B. 12
C. 7
D. 5

Answer 1

Answer:

x = 11

BD = 10

Step-by-step explanation:

Solving for x

The opposite sides if a parallelogram are equal and parallel.

Hence,

2x - 5 = 17

Collecting like terms:

2x = 17 + 5

2x = 22

x = 11

If E is a midpoint, then BE equals to DE

Since BE = 5, then

BD = 2 * BE

BD = 10