The coordinates of the vertices of △DEF are D(−2,3) , E(−1,7) , and F(2,1) . The coordinates of the vertices of △D′E′F′ are D′(3,−2) , E′(7,−1) , and F′(1,2) . Which statement is correct? △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a 180° rotation about the origin, which is a rigid motion. △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using a reflection across the line y = x, which is a rigid motion. △DEF is not congruent to △D′E′F′ because there is no sequence of rigid motions that map △DEF to △D′E′F′ . △DEF is congruent to △D′E′F′ because you can map △DEF to △D′E′F′ using 90° counterclockwise rotation about the origin, which is a rigid motion.

The ratios of boys to girls on a soccer league is 2: 5. if there are 28 boys, how many girls are playing soccer? extra points! will mark as brainiest asap

1. the manager of collins import autos believes the number of cars sold in a day (q) depends on two factors: (1) the number of hours the dealership is open (h) and (2) the number of salespersons working that day (s). after collecting data for two months (53 days), the manager estimates the following log-linear model: q 4 equation 1 a. explain, how to transform the log-linear model into linear form that can be estimated using multiple regression analysis. the computer output for the multiple regression analysis is shown below: q4 table b. how do you interpret coefficients b and c? if the dealership increases the number of salespersons by 20%, what will be the percentage increase in daily sales? c. test the overall model for statistical significance at the 5% significance level. d. what percent of the total variation in daily auto sales is explained by this equation? what could you suggest to increase this percentage? e. test the intercept for statistical significance at the 5% level of significance. if h and s both equal 0, are sales expected to be 0? explain why or why not? f. test the estimated coefficient b for statistical significance. if the dealership decreases its hours of operation by 10%, what is the expected impact on daily sales?

Of the 27 players trying out for the school basketball team, 8 are more than 6 feet tall and 7 have good aim. what is the probability that the coach would randomly pick a player over 6 feet tall or a player with a good aim? assume that no players over 6 feet tall have good aim. a. b. c. d.