Finn carned 9 points for every book he read over the summer. The equation y = 9x represents Finn's points based on the number of
books he read.

a. He read between 4 and 7 books.

b. x= 54/9

c. 6 books

Step-by-step explanation:

a. When I solved the equation, Finn read 6 six books which falls between 4 and 7 books.

b. You would divide 54 by 9 to find the number of books, he read. It would not make sense to multiply.

c. He read 6 books when we divide 54 by 9.

∠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.