Heather received a 32% discount on a $34 shirt. after the 7% sales tax was added, how much did she pay for the shirt.

$15.17

Step-by-step explanation:

divide 34 by 32 = 1.0625. and divide it by the 7%= $15.17

24,74

Step-by-step explanation:

the price with tax= 34 : 100 x 107= 36.38

( start price : 100% x 100% with the 7% tax)

now you can calculate the discount = 36.38 ; 100 x 68= 24.74

( start price : 100% x 68 because the full price is 100% but there goes 32 from off so 100-32 = 68)

∠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.

im pretty sure its

(8,15)

step-by-step explanation: