Use logical equivalences to simplify (p → q) → (¬p → ¬q) until you have at most one occurrence of each variable p, q remaining. Identify
all logical equivalences by name.

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

Atown has a population of 12000 and grows at 3.5% every year. what will be the population after 7 years, to the nearest whole number?

What is the period of the sinusoidal function ?