Mackenzie wrote the following paragraph proof for the vertical angles theorem: The sum of angle 1 and angle 4 and the sum of angle 3 and angle 4 are each equal to 180° by the definition of supplementary angles. The sum of angle 1 and angle 4 is equal to the sum of angle 3 and and angle 4_. Angle 1 is equal to angle 3 by the subtraction property of equality.

Which phrase completes the proof?

A. By construction using a straight edge

B. Buy the definition of a perpendicular bisector

C. By the transitive property of equality

D. By the vertical angles theorem

In a study of the relationship between socio-economic class and unethical behavior, 129 university of california undergraduates at berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. they were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. after completing some unrelated tasks, participants reported the number of candies they had taken. it was found that those who were identiď¬ed as upper-class took more candy than others. in this study, identify: (a) the cases, (b) the variables and their types, (c) the main research question, (d) identify the population of interest and the sample in this study, and (e) comment on whether or not the results of the study can be generalized to the population, and if the ď¬ndings of the study can be used to establish causal relationships.