Tom ordered some books online and spent a total of $75. Each book cost $6 and he paid a total of $3 for shipping. How many books did he buy? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 75, 6, and 3. Let b represent the number of books. (b) Solve the equation in part (a) to find the number of books.

a)

_b+_=_

6B+3=75

B)

He ordered 12 books

Step-by-step explanation:

so each book (b) costs $6. he payed $75 total including the $3 shipping price

That gets us:

6b+3=75

6b=72

b=12

Therefore, Tom ordered 12 books

what is all that apply?

∠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.