Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour days Xavier can work for the rest of the week?

He can work a maximum of 2 8-hour days for the remainder of the week

Step-by-step explanation:

Firstly, from the question, we are made to know that the maximum work hours is 40 hours.

Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours

Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week

Mathematically, that would be 16 hours divided by 8-hours days

That is 16/8 = 2

∠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.

the reporter's right

step-by-step explanation:

1/4 = .25 / 25%