The prior probability that an entering undergraduate student will get their ba if they have a good high school gpa is given by the answer of the previous question. in addition, 90% of students who graduate with a ba also have a high sat score, whereas 55% of students who drop out have high sat scores. the probability that an entering freshman who has a good high-school gpa and high sat scores will graduate with a ba is

the prior question mentioned above is:

the prior probability that an entering undergraduate student will get their ba is 0.48.
65% of students who graduate entered with a good high-school gpa.
40% of entering undergraduate students who don't graduate also had a good high-school gpa upon entering.
the probability of an entering college student getting their ba if they have a good high school gpa 0.6

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step-by-step explanation:

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∠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.

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step-by-step explanation: hi!