Is the following shape a parallelogram? if so, which condition proves it ?
a. both pairs of opposite sides are parallel ( definition )
b. one pair of opposite sides are parallel and congruent
c. both pairs of opposite sides are congruent
d. both pairs of opposite angles are congruent
e. one angle is supplementary of both sides of its consecutive angles
f. the diagonals bisects each other

If there is no real number solution to the quadratic equation x^2+2x+c=0 what is a possible value of c? 1 -2 0 3

Given the numbers 6, 8, 10, and 20, what number when added would make the average of all five numbers 12? 1. (4) 2. (10) 3. (16) 4. (22) 5. (28)

Based on the situation in part a, the width of a rectangular garden is x feet, and its length is 5 feet more than twice its width. the right side of the equation, g(x) = 2x2 − 13x + 6, can be factored to g(x) = (2x − 1)(x − 6). this function could represent an inner region of the garden from the first equation, such as a vegetable garden with a border around it. the length of this inner garden would be 2x − 1 feet, and the width would be x − 6, which would leave a 3-foot border around the garden. part d what is the value of g(8) for the function g(x) in part c? what does this value mean in the context of the situation you described in part c?