Boxes of heights 8 inches, 9 inches and 10 inches are available. There is an infinite supply of boxes in each of the three sizes. Every possible stack of six boxes with a unique stacking sequence is to be made once, such that each stack is one box wide and one box deep. If Steve is to select one of these stacks at random, what is the probability his stack is exactly 54 inches tall?

Asequence {an} is defined recursively, with a1 = 1, a2 = 2 and, for n > 2, an = an-1 an-2 . find the term a241

In the following diagram it is given that dec,ab || dc, ad || eb, and ad is congruent to bc. a)why isn't abc a parallelogram even though it has a pair of parallel sides and a pair of congruent sides b)explain why be must be congruent to bc. further explain what type of triangle this makes triangle abc and what it tells you about angle 1 and angle 2c) finally why must angle 3 be congruent to angle 1? further, explain why we know that angle 3 is congruent to angle 2

Given: ∆mop p∆mop =12+4 3 m∠p = 90°, m∠m = 60° find: mp, mo