Mary has 30 nickels and dimes totaling $2.40. how many of each does she have?

Nickels; 5 cents

Dimes; 10 cents

Given that she has 30 nickels:

30(nickels) x 5(a single nickel) = $1.50

2.40 - 1.50 = $0.90, those 90 cents leftovers should then be divided by 10 cents because one dime contains 10 cents and you want to figure out how many dimes there are:

90/10 = there are 9 dimes

∠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.

you cant answer this dummy

step-by-step explanation: