In a talent competition, half of the contestants are eliminated in each round. at the end of the nth round, 32 contestants remain. if there were 1,024 contestants at the start of the competition, what is the value of n?
the value of n is

What is the range of the relation in the table below? x y –2 0 –1 2 0 4 1 2 2 0

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

Are the corresponding angles congruent? explain why or why not.