Line segment XY is tangent to circle Z at point U.

Circle Z is shown. Line segment U V is a secant. Line segment X Y is a tangent and intersects the circle at point U. The measure of arc U V is 84 degrees.

If the measure of Arc U V is 84°, what is the measure of Angle Y U V?

42°
84°
96°
168°

Jack has a piece of red ribbon that is two times as long as his piece of blue ribbon. he says that he can use two different equation to find out how long his piece of red ribbon is compared to his piece of blue ribbon is. is he correct? explain his reasoning

Two angles are complementary. the large angle is 36 more than the smaller angle. what is the measure of the large angle?

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.