Arecipe for banana pudding calls for 2 cups of flour and 1 1/2 cups of butter. if 5 cups of flour were used, how many cups of butter would be needed?

You would need a total of 3 3/4 cups. First double the amount of butter= 3 cups, then half 1 1/2 cups for the last cup of flour which would be 3/4. Add them together, it would equal 3 3/4 cups.

Step-by-step explanation:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

let m = monomial

let t = trinomial

so, m times t = t.

monomial times a trinomial = another trinomial.