Atheater has 500 seats. three fourths of those seat are filled. how many seat are filled?

Here is the correct answer. Please don't copy and paste.

The first step is to convert three fourths into a decimal.

In order to do so, I need to divide the numerator and the denominator.

3 ÷ 4 = 0.75

Now we need to multiply 0.75 by 500 beacause 0.75 were the number of seats filled and 500 was the number of seats.

0.75 x 500 = 375

So 375 seats are filled.

Hope this Helps!

∠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.