Peter surveyed his family to see what they like to drink with breakfast. he found that 1/10 of the people like to drink grapefruit juice and 3/10 of them like to drink orange juice. what part of the people surveyed prefer grapefruit or orange juice with breakfast? express your answer in simplest form. can't figure it out

4/10 of the surveyed people like either grapfruit or orange juice. Say the family has 10 members, and 1 person likes grapefruit, but then 3 other people like orange juice. That's 4 members out of 10.

∠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 would be a on edgenuit y

the diagram below is your final answer