Nikki is participating in a charity walk this weekend. She walks at a pace of 4.2 miles
per hour. How long will it take her to walk
35.7 miles?

8.5 hours

Step-by-step explanation:

We know that it takes Nikki 1 hour to walk 4.2 miles.

We need to figure out how long it will take her to walk 35.7 miles.

This is our expression; 35.7 ÷ 4.2.

Let's go ahead and divide these two numbers.

(35.7 ÷ 4.2) = 8.5

So It will take Nikki 8.5 hours to walk 35.7 miles.

Feel free to give brainliest.

Have an excellent day!

∠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.