Alex is making chocolate cakes. For each cup of milk he uses, he needs to use 1/2 cups of flour. For each cup of flour he uses, he needs to use 1/3 cup of cocoa powder. Alex is making enough cakes that he needs
to use 4 cups of milk. How many cups of cocoa powder does Alex need to use?

2/3 (or 0.67) cups of cocoa

Step-by-step explanation: since you need to use 1/2 cups of flour for each cup of milk you divide 4 by 2 and you get 2 then you multiply 2 by 1/3 to get your answer

at least that's what i got

∠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.