Sam works as a tutor for $13 an hour and as a waiter for $10 an hour. This month, he worked a combined total of 106 hours at his two jobs. Let t be the number of hours Sam worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month.

The combined total dollar amount A is;

A = $(3t + 1060)

Step-by-step explanation:

In this question, we have the very hardworking Sam and given the amount he earns as a tutor and as a waiter, we are asked to give an expression for the combined total amount he earned this particular month.

Let’s start this by saying let’s represent the total amount he has earned this month by the letter A.

Now let’s move!

He has worked t hours as a tutor. Since he worked a total of 106 hours, the total number of hours he had worked as a waiter would thus be (106-t) hours

Now, let’s calculate his earnings.

Earnings as a tutor; that would be $13/h * t hours = $13t

Earnings as a waiter;that would be $10/h * (106-t) hours = $(1060-10t)

The combined total dollar amount as requested by the question would thus be;

A = $13t + $(1060-10t)

A = $13t - $10t + $1060

A = $(3t + 1060)

13t+10(106-t)=X(total monies)

t+w=106

Can you work from there?

∠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.

d. vertex

step-by-step explanation: