Carmen is given a parallelogram and is trying to prove that the opposite angles of a parallelogram are congruent. She draws a parallelogram and a diagonal as shown. Along with the definition of a parallelogram, which pair of reasons can Carmen use for her proof?

An equation representing lyle’s hedge-trimming business is a = 12n - 300 where a is the amount of profit or loss in dollars and n is the number of hedges trimmed. how would the graph of lyle’s business change if the equation a = 10n - 300 represented his business? the graph would be flatter. the graph would be steeper. the graph would start closer to the origin. the graph would start lower on the y-axis.

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

Two variables, x and y, vary inversely, and x=12 when y=4. what is the value of y when x=3?