4. The number of milligrams of an antibiotic in a person's bloodstream, A(h), is dependent on the number of hours elapsed since taking the antibiotic, h. George
took a 50-milligram dose of the antibiotic. One hour after taking the medicine, he had
25 milligrams of the antibiotic in his bloodstream. Two hours after taking the
medicine, he had 12.5 milligrams of the antibiotic in his bloodstream. Which function
can be used to find the number of milligrams of antibiotic in George's bloodstream
after h hours?

Step-by-step explanation:

The number of milligrams of an antibiotic in a person's bloodstream, A(h), is

dependent on the number of hours elapsed since taking the antibiotic, h. George

took a 50-milligram dose of the antibiotic. One hour after taking the medicine, he had

25 milligrams of the antibiotic in his bloodstream. Two hours after taking the

medicine, he had 12.5 milligrams of the antibiotic in his bloodstream. Which function

can be used to find the number of milligrams of antibiotic in George's bloodstream

after h hours

∠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.