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Q: How can we Proof by case to prove triangle inequality?
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What is the verb of the word proof?

Prove (verb). A prosecutor has to prove the defendant committed a crime. He presents the proof to the jury in order to prove his case.Another, job-specific verb form of proof is in my industry, journalism, where we will say "Would you proof this page?" In this case proof is a shortened version of the verb proofread. This probably is not in Webster's.


What measure of angle a will make triangle abc similar to triangle fde?

Corresponding angles must be equal; in this case, that would be angle f. To prove that the two triangles are equal, you would have to prove that at least another pair of angles is also equal, for example, angle b equal to angle d. Or prove some other facts, like the ratio between certain corresponding sides.


How do you solve an inequality if you are left with a negative variable?

In the case of an inequality, if you mulitply by a negative number, you have to reverse the direction of the inequality. E.g.: -x < 10 becomes: x > -10 (Here, I multiplied by -1, and simultaneously reversed the direction of the inequality.)


An equilateral triangle is a special case of an isosceles triangle?

true


Is it possible to draw a triangle with 150 20 and 20?

No, it is not possible to draw a triangle with side lengths of 150, 20, and 20. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side according to the Triangle Inequality Theorem. In this case, 20 + 20 is less than 150, so the given side lengths do not satisfy this theorem, making it impossible to form a triangle.

Related questions

What is the verb of the word proof?

Prove (verb). A prosecutor has to prove the defendant committed a crime. He presents the proof to the jury in order to prove his case.Another, job-specific verb form of proof is in my industry, journalism, where we will say "Would you proof this page?" In this case proof is a shortened version of the verb proofread. This probably is not in Webster's.


Who has the burden of proof?

"Beyond a reasonable doubt" in a criminal case, "A preponderance of the evidence" in a civil case. The advocate of a case always has the burden of proof - the prosecutor in a criminal case, the plaintiff in a civil case.


What is the difference between burden of proof and standard of proof?

Burden of proof is who has to prove the case by meeting or exceeding the standard of proof. In a criminal case, it's the prosecution. In a civil case, it's the plaintiff. Standard of proof is the unquantifiable amount of proof that must be shown. In criminal cases, it's beyond a reasonable doubt. In civil cases, it's a preponderance of the evidence.


Who has the burden of proof in fraud civil claims?

While the Law is an extremely complicated subject, and only an attorney is competent to say for sure, in general it is the responsibility of the accuser, or Plaintiff, to prove that what he/she says is true.


What is the burden of proof in percentage for a criminal case?

The burden in a criminal case is: "Proof beyond a REASONABLE doubt." Many people mistake this to mean proof beyond ALL doubt, but that is a mistaken understanding. There is no way to establish proof beyond ALL doubt, we can't even prove, beyond ALL doubt that God exists.


What is the burden of proof in a misdemeanor case?

In a misdemeanor case, the burden of proof is typically "beyond a reasonable doubt." This means that the prosecution must prove that the defendant is guilty of the crime charged to a high degree of certainty.


What is the burden of proof in a civil case and how does it impact the outcome of the trial?

In a civil case, the burden of proof is the responsibility of the plaintiff to prove their case by a preponderance of the evidence, meaning that it is more likely than not that their claims are true. This impacts the outcome of the trial because if the plaintiff fails to meet this burden, the defendant will likely prevail in the case.


In the case of a tenancy where the landlord claims that the tenant has not paid and the tenant insists that he has- on whom does the burden of proof rest?

The burden is on the tenant to prove that they paid.


How does the burden of proof differ in civil versus criminal cases?

In civil cases, the burden of proof is typically on the plaintiff, who must prove their case by a preponderance of the evidence, meaning it is more likely than not that their claims are true. In criminal cases, the burden of proof is on the prosecution, who must prove the defendant's guilt beyond a reasonable doubt, which is a higher standard of proof than in civil cases.


When you have to reverse the inequality sign?

The usual case is when you multiply or divide an inequality by a negative number.


What is the burden of proof in civil cases and how does it impact the outcome of the case?

In civil cases, the burden of proof is the responsibility of the plaintiff to prove their case by a preponderance of the evidence, meaning it is more likely than not that their claims are true. This impacts the outcome of the case because if the plaintiff fails to meet this burden, the defendant will likely prevail.


With regard to onus of proof is this statement correct. in the case of disputes concerning agreements in restraint of trade the employee must prove the agreement is ureasonable?

yes