Aright triangle △abc with right angle c is inscribed in a circle. find the radius of this circle if: given m∠c = 90°, k(o, r) inscribed in △abc, ac = 8 cm, bc = 6 cm. find r.

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.

If x is 6, then 7x= a. 13 b. 42 c. 42x d. 76

Which number completes the inequality? 2/3 < _ < 7/9