Diego estimates that there will need to be 3 pizzas for every 7 kids at his party. Select all the statements that express this ratio. Select all that apply:
a. The ratio of pizzas to kids is 3 to 7.
b. For every 7 kids there need to be 3 pizzas.
c. The ratio of kids to pizzas is 7:3.
d. The ratio of kids to pizzas is 3:7.
e. The ratio of pizzas to kids is 7 to 3.

∠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.

h/o/e/s mad

step-by-step explanation:

si si si