Astudent wrote the following sentences to prove that parallelogram abcd has two pairs of opposite sides equal:

for triangles abd and cdb, alternate interior angle abd is congruent to angle cdb because ab and dc are parallel lines. similarly, alternate interior angle adb is equal to angle cbd because ad and bc are parallel lines. db is equal to db by reflexive property. therefore, triangles abd and cdb are congruent by therefore, ab is congruent to dc and ad is congruent to bc by cpctc.

which phrase best completes the student's proof?

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.