Help time quiz plz hurry

A. 3 2/3 and 5/7

Step-by-step explanation:

The pair of fraction that has the same denominator of 42 are 3 2/3 and 5/7.

first fraction 3 2/3 = 11/3

Second fraction = 5/7

If we look at the denominator of both fractions i.e 3 and 7, they are both factor of 42. Since this two values can easily go in 42 without remainder, then we can conclude that both fraction initially has a denominator of 42.

∠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.

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled