For each of the following statements, say whether it is true or false, and give a reason for your answer. assume for each of the statements that if person a knows person b, then b also knows a. (a) the number of people at a party that know an odd number of other people at the party must always be even. (b) the number of people at a party for which the number of other people at the party that they don’t know is odd, must always be even. (c) the number of people at a party that know an even number of other people at the party must always be even. (d) it is possible that no two persons at a party know the same number of other people at the party.

∠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.

51-50

step-by-step explanation:

13

step-by-step explanation:

divide the cost of the total of sodas you bought by the cost of one soda, for example:

$24.57 divided by $1.89 is 13 which means you bought 13 sodas

1/2*qr*rs

step-by-step explanation: