Practice Problems: 1. The jar's inner dimensions of the jar are approximately a cylinder with
a height of 16 cm and a radius of 4.5 cm. The jar completely filled to
the top with popcorn kernels.
What would be a good lower bound for the number of kernels in the jar
and why?

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.

Given ab and cb are tangents of p, and m =10°. what is the measure of abp?

What is the missing reason in the proof? segment addition congruent segments theorem transitive property of equality subtraction property of equality?