If ∠P and ∠Q are complementary angles, m∠P = 7x + 3, and m∠Q = 16x – 5, find m∠P.

When turned about its axis of rotation, which shape could have created this three-dimensional object?

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

An arc subtends a central angle measuring 7pi/4 radians what fraction of the circumference is this arc?