Astore sold 32 pairs of jeans for a total of $1050. brand a sold for $30 per pair and brand b sold for $35 per pair. how many of brand a were sold?

There are 14 pairs of Brand A sold.

Step-by-step explanation:

In order to find this, you need to set up a system of equations. You can set up on equation for the number sold:

A + B = 32

And you can set up one for the amount made:

30A + 35B = 1090

Now, in order to solve for the amount of A sold, multiply the first equation by -35 and add the two equations together.

-35A - 35B = -1120

30A + 35B = 1050

-5A = -70

A = 14

∠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.