Match the reasons to the statements in the proof. Given:
m_1+m 25 = 180°
m_1+ m _4 = 180°
XA
T
21 Z
34
$
U
Prove:
YŽIU
1.
m21+ m25 = 180' and
m21+ m24-180
Given
2. m21+ m25= mz1+m24
3. m25= m_4
Substitution
Subtraction property of equality
If alternate interior angles equal
then lines are 11
4. YŻis parallel to UV

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.

Afair die is cast four times. calculate the probability of obtaining exactly two 6's round to the nearest tenth of a percent

Given the diagram below, michael writes, "segment ac is congruent to segment ac." which of the following reasons allow him to write this statement?