In the figure, and . complete the following statements to prove that and are supplementary angles. and , as they are corresponding angles for parallel lines cut by a transversal. therefore, if , then by the . therefore, and are supplementary angles by the . ° (1) , so (2) applying the to (1) and (2), we get . therefore, and are supplementary angles.

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Describe the 2 algebraic methods you can use to find the zeros of the function f(t)=-16t^2+400.

Isabel graphed the following system of equations. 2x – y = 6 y = -3x + 4 she came up with the solution (2,-2). what were the 3 steps she did to get that solution? (make sure they are in the correct order)