One lap around the track is 1/4 of a mile and it takes nokota 1/6 of an hour to ride one lap what is nakotas unit rate in miles around the track

- 1/6 of an hour = 10 minutes

- Its takes Nokota 10 minutes to do one lap

- You must multiply so you can get his speed per hour which would cause the 1/6 and 1/4 to multiply by 6

- 6/6(one hour)6/4(miles)

- Simplify

1 hour = 1.5 miles

1.5 miles per hour

what is the question here

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.