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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.
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.
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.)
true
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.