Suppose a club publishes a newsletter. expenses are$.50 for printing and mailing each copy, plus$300 total for research and writting. the price of the newsletter is $2.00 per copy. how many copies of the newsletter must the club sell to break even?

200 copies must be  sold

n= number od newsletters

0,50*n+300=2,00*n

300=1,5*n

Divide both sides by 1,5

200=n

0,50*200+300=2*200

100+300=400

400=400

∠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.

it is 10.6 according to my calculations