Carla purchased a hat for $12, a purse for $26, and a dress for $125. the salsa tax rate was 5.6 percent. what was the total amount she paid

Hello mate!

The price wihtout tax is:

$12 + $26 + $125 = $163

Now, the tax rate was 5.6%, this means that there is a 5.6% of the $163 wich is added as tax:  

When you want to calculate the percent of a number, you need to multiply the number by the decimal form of such percent (wich is calculated as the percent divided by 100%)

in this case we have:

(5.6%/100%) = 0.056

and then:

0.056*$163 = $9.128

So the total price is P = $163 + $9.128 = $172.128

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

∠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.