The month of December has 31 days. In New Jersey in December there are days when it rains, days when it snows, and days when it does both. This breakdown is shown in the Venn diagram. Based on the diagram, are the events of having snow and having rain on the same day dependent or independent? Be sure to justify your answer by showing the calculations that lead to your decision.

One of the same side angles of two parallel lines is 20° smaller than the other one. find the measures of these two angles.

Aboard 60 in. long is cut two parts so that the longer piece is 5 times the shorter. what are the length of the two pieces?

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