Select all the correct answers.

Which sequences of transformations performed on rhombus ABCD shows its congruency to rhombus A′B′C′D′?

a reflection across the y-axis and then a 180° rotation about the origin
a 90° counterclockwise rotation about the origin and then a reflection across the y-axis
a reflection across the y-axis and then a 90° counterclockwise rotation about the origin
a 90° clockwise rotation about the origin and then a reflection across the x-axis
a reflection across the x-axis and then a 90° clockwise rotation about the origin

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.