Select all the sets of side lengths that will make a triangular shelf fit in a 90° corner of a room.
6 cm, 8 cm, 10 cm
2 cm, 3 cm, 4 cm
5 cm, 6 cm, 9 cm
3 cm, 4 cm, 5 cm
7 cm, 9 cm, 11 cm

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

He ! a group of farmers planned to clean 80 acres of wheat per day to finish the work on schedule. right before the work started, they received a new piece of machinery that them clean 10 more acres per day than originally planned. as a result of increased productivity in the last day before the deadline they only had to clean 30 acres. how many acres of wheat did the group of farmers have to clean?

Find the value of x in each case. give reasons to justify your solutions! d q ∈ pr