Astudents work to solve 2 6/7 / 2/7 is shown below. which of the following statements do you agree with. 2 6/7 / 2/7 = 19/7 / 2/7 = 7/19 x 2/7 = 1/19 x 2/1 = 2/19 a. the only mistake is changing the mixed number to an improper fraction. b. there's a mistake with the multiplicative inverse 2/7 . c. the problem looks correct. d. there's a problem with changing the mixed number to an improper fraction, as well as changing the division problem to multiplication.

D. There's a problem with changing the mixed number to an improper fraction, as well as changing the division problem to multiplication.

Step-by-step explanation:

We have shown work of a student to solve a division of fractions. We are asked to check student's work.

Let us check

Convert mixed fraction into improper fraction:

Convert division problem to multiplication problem by flipping the 2nd fraction:

Therefore, the student made two mistakes and option D is the correct choice.

8

step-by-step explanation:

this is a subtraction problem.

10 - 2 = 8

∠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.