Peter wants to borrow $3,000. he has two payment plans to choose from. plan a is 4% interest over 6 years. plan b is 5% interest over 4 years. using the formula mc024-1.jpg for payment, m, which statement best compares the plans?

plan a has a monthly payment of about $23 less and a total interest charge of $120 less than plan b.  

plan a has a monthly payment of about $23 less and a total interest charge of $120 more than plan b.    

plan a has a monthly payment of about $23 more and a total interest charge of $120 more than plan b.  

plan a has a monthly payment of about $23 more and a total interest charge of $120 less than plan b.

those are the answer choices. the formula is m= p+prt/12t. the final question is what statement compares the plans?

dont know

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.