Lester hollar is vice president for human resources for a large manufacturing company. in recent years, he has noticed an increase in absenteeism that he thinks is related to the general health of the employees. four years ago, in an attempt to improve the situation, he began a fitness program in which employees exercise during their lunch hour. to evaluate the program, he selected a random sample of eight participants and found the number of days each was absent in the six months before the exercise program began and in the six months following the exercise program. below are the results. at the .05 significance level, can he conclude that the number of absences has declined? estimate the p-value.

Statement reason 1. δabc is similar to δced. given 2. 3. definition of slope 4. slope of slope of definition of slope 5. slope of × slope of multiplying the slopes 6. slope of × slope of substitution property of equality 7. slope of × slope of simplifying the right side the table contains the proof of the relationship between the slopes of two perpendicular lines. what is the reason for statement 2? a. parallel line segments that meet a common perpendicular line are proportional in length. b. the lengths of vertical and horizontal sides in congruent triangles are in a common ratio. c. trigonometric identities determine the lengths of the legs in a right triangle. d. corresponding side lengths in similar triangles are proportional in length.