In each of the following scenarios, determine if the data are paired and explain why or why not: Compare pre- and post-test grades for students in a class. Assess gender-related salary gap by comparing salaries of randomly sampled men and women. Assess the effectiveness of a diet regimen by comparing the before and after weights of subjects.

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem