Which of the following is a valid reason why the quadrilateral shown below is a parallelogram? a. both pairs of opposite sides are parallel. b. all pairs of consecutive angles are complementary. c. both pairs of opposite angles are congruent. d. all pairs of consecutive angles are supplementary.

A. Both pairs of opposite sides are parallel.  

C. Both pairs of opposite angles are congruent.  

D. All pairs of consecutive angles are supplementary

Step-by-step explanation:

Every parallelogram has these three properties. If only one pair of opposite sides is required to be parallel, the shape is a trapezoid, not a parallelogram. If a pair of consecutive angles are supplementary, i. e., their addition is equal to 180°, then all pairs of consecutive angles are supplementary, and consequently, both pairs of opposite angles are congruent, that is, they have the same measure.

$27.5

step-by-step explanation:

$110.00 divided by 4

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet