If 2/3 = x/y, then which of the following must be true? (2 + x)/3 = (x + 2)/y 3/2 = x/y (2 + 3)/3 = (x + y)/y (2 + 1)/3 = (x + 1)/y

Which statement explains how you could use coordinate geometry to prove the opposite sides of a quadrilateral are congruent? a. use the slope formula to prove the slopes of the opposite sides are the same. b. use the slope formula to prove the slopes of the opposite sides are opposite reciprocals. c. use the distance formula to prove the lengths of the opposite sides are the same. d. use the distance formula to prove the midpoints of the opposite sides are the same.

Kate is arranging new furniture in her rectangular sitting room. she has mapped the arrangement on a coordinate pane. a, b and c represent the sofas, v1 and v2 are decorative vases and aq the aquarium. find the distance between v1 and the aquarium. any body you

Amanufacturing firm has been averaging 16.8 orders per week for several years. however, during a recession, orders appeared to slow. suppose the firm’s production manager randomly samples 31 weeks and finds an average of 15.6 orders with a standard deviation of 2.3 orders. using a 0.025 significance level, test whether the mean number of orders has decreased. type the full 5 step procedure into the answer box, then for multiple choice practice, answer the following: 1. what is the name and symbol of the parameter that you are testing? 2. what is the symbol and value of the point estimate of that parameter? 3. what distribution are you using to test this parameter? 4. what is the critical value? 5. what is the test statistic value? 6. what is the p-value?