Kevin is an expert pastry chef. he can bake and decorate an entire cake in 30 minutes. he can also bake and frost a cupcake in 10 minutes. if he works for 12 hours on these two tasks and ends up making a total of 3 cakes, how many cupcakes did he make?

Triangle xyz has vertices x(1,3), y(0,0)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

What additional information is needed to prove that the triangles are congruent using the aas congruence theorem? o lolm o oama o zloa zlma o zlao – zlam