Poiseuille's Law describes the flow rate of fluids in a cylindrical tube which has applications in engineering and medicine. The relation is F = piP over 8nL times r^4 where F is the fluid flow rate (liters/minute) and is the radius of the cylinder (in millimeters), P is the fluid pressure, n is viscosity, and L is the cylinder's length. In the following examples, we consider P, n and L to remain constant, while r is varied. 7. Suppose that exercise increases the radius of an artery by 10%. What is the corresponding percentage increase in blood flow rate through the artery?
8. If a medication causes a 15% increase in the radius of an artery, what corresponding percentage increase in blood flow rate is expected?
9. If cholesterol decreases the radius of an artery by 20%, what is the corresponding decrease in
the blood flow rate through the artery?

∠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.

80

step-by-step explanation:

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