Elaine wants to buy 5 cookies. Each cookie costs $0.60. She has $5 to spend. Does Elaine have enough to buy the 5 cookies? Will she have any money left over to buy more cookies? If yes, how many more cookies can she buy?

Yes, she can buy 5 cookies. And with the money left over, she can buy 3 more.

You have $5, which, as a decimal, can be written as 5.00

You take the total amount of money you have divided by the price of each item, to get the number of items you can acquire.

5.00/0.60=8.33333 repeating

Since you cannot buy part of a cookie, you round it down to 8.

You can buy 8 cookies with $5, meaning, yes, you can buy 5 cookies, along with 3 more.

∠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.