Alex and Brandon bought candy and popcorn at the movie theater. Alex bought 2 tubs of popcorn and 3 boxes of candy for $19.50. Brandon bought 2 tubs of popcorn and 5 boxes of candy for
$22.50. If all the popcorn costs the same and all the candy costs the same, how much did one tub of
popcorn cost?

∠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.

i believe the answer is letter c) 8

step-by-step explanation:

what? that isnt a question

step-by-step explanation:

interest rate - 12.000%  

final payment - $355.40