Mr. potts, the college pastry chef, baked three apple pies, two blueberry pies, five cherry pies, and six key lime pies for the student fundraiser. what percent of the pies were apple?

18.75%

Step-by-step explanation:

Mr. Potts, the college Pastry Chef baked pies for the student fundraiser.

He baked apple pies = 3

Blueberry pies = 2

Cherry pies = 5

Key lime pies = 6

We have to calculate the percentage of the apple pies.

Total number of pies that he baked =  3 + 2 + 5 + 6 = 16 pies

Percentage of Apple pies = × 100

                                           = 0.1875 × 100

                                           = 18.75%

18.75% was apple pie.

∠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.