Winona needs to average 5.8 points from 14 judges to win the competition. the mean score of 13 judges was 5.9. what is the lowest score she can receive from the fourteenth judge and still win?

If you want to go the long way you can go one by one to get the answer (shown here) 1 + 5.9= 6.9 divided by 2 = 3.45 (not a win)
2+ 5.9= 7.9 div. by 2 = 3.95 (not a win)
3+ 5.9= 8.9 div. by 2 = 4.45
4+ 5.9= 9.9 div. by 2 = 4.95
5+ 5.9= 10.9 div. by 2 = 5.45
6+ 5.9= 11.9 div. by 2 = 5.95 Win the lowest score Winona can get is a 6 in order to get the winning score.

Equatorial triangle and obtuce angle