Find the average rate of change of the function over the given intervals. f(x) = 12x3 + 12; [5,7]

Aquadrilateral has exactly one pair of parallel sides. which name best describes the figure?

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

Complete the conditional statement. if a + 2 < b + 3, then a < b b < a a – b < 1 a < b + 1