Determine whether the set forms a group with respect to the given operation. (You may assume the operation is associative.) If the set does not form a group, determine which properties fail. (Select all that apply.)

a. The even integers; addition
b. The şet forms a group.
c. The closure property fails.
d. The associative property fails.
e. The identity property fails.
f. The inverse property fails.

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality