English muffins are on sale for $1.99 per package, but only if you buy five packages. this is a $1.00 discount per package. what percent do you save off the regular price when buying the english muffins on sale? round the answer to the nearest tenth.

50.3% of profit.

Step-by-step explanation:

English muffins are on sale for $1.99 per package, but only if you buy five packages.

Therefore, the price of five packages of muffins on sale is $(1.99 × 5) = $9.95.

There is a $1.00 discount per package on sale.

So, the ordinary price per package of muffins is $(1.99 + 1) = $2.99.

Therefore, the ordinary price of five packages of muffins is $(2.99 × 5) = $14.95.

Hence, the percentage of profit that I will make when I purchase the package of muffins in the sale is ≈ 50.3 % (Answer)

180 square centimeters

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.