The selling price of an item is $660. It is marked down by 30%, but this sale price is still marked up from the cost of $420. Find the markup from cost to sale price.

$42

Step-by-step explanation:

We must calculate the value of the discount percentage, that is, 30% of 660, like this:

660 * 30% = 198

Now we must subtract that value from the sale price, like this:

660 - 198 = 462

In other words, the surcharge would be:

462 - 420 = 42

The surcharge value would be $ 42

∠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.

answer: i guess 105 degrees?

step-by-step explanation: