The graph of f(x) was vertically translated down by a value of k to get the function g(x) = 5x + k. What is the value of k? −7 −6 5 7

Abcd is a parallelogram. the diagram is not drawn to scale. if m

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

Sam is picking fruit from a basket that contains many different kinds of fruit. which set of events is independent?