You handle a very large portfolio of bond investments for your clients. You specialize in bonds that have only a rating of A·B , and C . in your portfolio of bonds, 50% are A rated bonds; 30% are B rated bonds; and 20% are C rated bonds, of the A bonds: 40% are corporate, 4096 are international, and 20% are city bonds. Of the B bonds: 50% are corporate, 30% are international, and 20% are city. Of the C bonds: 80% are corporate, 10% are nternational and 10% are city. Using the Bayesian formula, what is the probability that the bond selected is a C bond given that it is a city bond? A. .15 B. .17C. .1111 D. .09

∠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.

answer: 0.64

step-by-step explanation: