In the figure, j∥k and m∠2 = 117°. What is the m∠3?

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°

Line t diagonally crossing parallel lines j and k (reading from top to bottom). Angles formed by t crossing j are labeled one through four, starting at top right and going counterclockwise, where angle one is acute. Angles formed by t crossing k are labeled five through eight, starting at top right and going counterclockwise.

Listed in the table is the percentage of students who chose each kind of juice at lunchtime. use the table to determine the measure of the central angle you would draw to represent orange juice in a circle graph

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.

Amachine part consists of a half sphere and a cylinder, as shown in the figure. the total volume of the part is π cubic inches.