Question

Parallelogram A B C D is shown. Diagonals are drawn from point A to C and from point D to B and intersect at point E. Line segment D E is 2 x + 9 and line segment E B is 3 x minus 21. What is the length of segment EB in parallelogram ABCD? 30 units 34.5 units 69 units 138 units

Answer 1

Answer:69

Explanation:

Answer 2

(C)69 units

Explanation:

The diagonals of a parallelogram bisect each other.

Therefore, point E divides diagonal BD into DE and EB such that:

DE = EB

2x+9=3x-21

3x-2x=9+21

x=30

Therefore:

DE=2(30)+9=69 Units

EB=3x-21=3(30)-21=69

Therefore, the length of segment EB in parallelogram ABCD is 69 Units

The correct option is C.