Allie and Sam are ophthalmologists. Allie found that 40% of the 170 patients she saw in a week were near-sighted. Sam found that 25% of the 236 patients he saw in a week were near-sighted. a. How many of the patients Allie saw were near-sighted? Find the number of near-sighted patients that Allie saw.
b. How many of the patients Sam saw were near-sighted? Find the number of near-sighted patients that Sam saw.

A) Allie saw 68 near-sighted patients

B) Sam saw 59 near-sighted patients

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.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.