Sonya buys four pairs of shoes on sale for buy one, get one 50% off. the sales tax is 6.5%. if the original price for each pair of shoes was $35, how much does sonya pay for the four pairs altogether?

Sonya pays $111.825 for the four pairs altogether.

Step-by-step explanation:

The original price for each pair of shoes was $35.

The sale offers "buy one, get one 50% off".

That means, for first two pairs of shoes, the total original price  

Similarly, for next two pairs of shoes, the total original price  

So, the total original price for 4 pairs of shoes  

The sales tax is 6.5% . So, the amount of sales tax  

Thus, the total amount Sonya need to pay for the four pairs altogether

i would go with the first one

step-by-step explanation:

hope this

∠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.