Nina makes 8 origami frogs in 36 minutes. at that rate, how many origami frogs can she make in 90 minutes?

20 origami frogs.

Step-by-step explanation: This is simple proportion problem

Number of origami frogs made in 36 minutes = 8

Therefore we first need to solve for number of origami frog Nina can made in 1 minute

                                                                       36 minutes = 8

                                                                       1 minute      = 8/36

                                                                                           = 2/9 origami frogs  

Therefore, in 90 minutes , Nina will make                       = 2/9 × 90/1

                                                                                           = 20 origami frogs.

∠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.

what is the question?

step-by-step explanation: