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.

Fiona joins a fruit of the month club. the entry cost was $25 and then she pays $18 per month. if she participates for 8 months, how much will she pay in all? how much in 10 months?

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Plz a. s. a. p. the table shows the number of male and female contestants who did not win a prize. what is the probability that a randomly selected contestant won a prize, given that the contestant was female? write the probability as a percent. round to the neares tenth, if needed.