Sophia earns 40 points every time she shops at a grocery store. She needs a total of 2,680 points to receive a free prize. So far, she has earned 1,280 points. How many more times will Sophia have to shop at the grocery store in order to earn the additional points she needs for a free prize? Let t represent the number of times Sophia visits the store. Which of the following equations best represents the solution to the above question?

Multiply. −2x(6x4−7x2+x−5) express the answer in standard form. enter your answer in the box.

What is the arc length when θ =pi over 3 and the radius is 5 cm? (5 points) 5 pi over 3 cm 10 pi over 3 cm 16 pi over 3 cm pi over 3 cm

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