Based on the information in the diagram, determine whether the figure is a parallelogram. if so, select the answer with the correct justification.
a. no
b. yes, both pairs of opposite angles are congruent
c. yes, both pairs of opposite sides are parallel
d. yes, both pairs of opposite are sides are congruent.

d. yes, both pairs of opposite sides are congruent.

step-by-step explanation:

the opposite sides are congruent.   since both pairs of opposite sides are congruent, this means that they must be parallel; if they were not parallel, at least one pair of sides would not be parallel.  

since both pairs of opposite sides are parallel, this is a parallelogram.

Hi, you for posting your question here at 

by definition, a parallelogram is a quadrilateral (4 sides) that has 2 pairs of parallel sides. from the figure, we can deduce that it satisfies the said definition. it does not need to be congruent. so, the answer is c.

f(3) = 2x² - 3x + 1

2(3)² - 3(3) + 1

18 - 9 + 1

F(3) = 10

f(2) = 2(2)² - 3(2) + 1

8 - 6 + 1

f(2) = 3

f(3) - f(2)

10 - 3

f(3) - f(2) = 7 because you find f(3) = 10, and f(2) = 3, and plug in the answer you found. This gives you 10 - 3, which is 7.