Answer:
The proof contains a simple direct proof, wrapped inside the unnecessary logical packaging of a proof by contradiction framework.
Step-by-step explanation:
The proof is rigourous and well written, so we discard the second answer.
This is not a fake proof by contradiction: it does not have any logical fallacies (circular arguments) or additional assumptions, like, for example, the "proof" of "All the horses are the same color". It is factually correct, but it can be rewritten as a direct proof.
A meaningful proof by contradiction depends strongly on the assumption that the statement to prove is false. In this argument, we only this assumption once, thus it is innecessary. Other proofs by contradiction, like the proof of "The square root of 2 is irrational" or Euclid's proof of the infinitude of primes, develop a longer argument based on the new assumption, but this proof doesn't.
To rewrite this without the superfluous framework, erase the parts "Suppose that the statement is false" and "The fact that the statement is true contradicts the assumption that the statement is false. Thus, the assumption that the statement was false must have been false. Thus, the statement is true."
Answer:
She bought 7 battery packs containing 6 batteries
Step-by-step explanation:
4bx5= 20 batteries
6bx7=42 batteries
42+20=62
Answer:
62.8
In a triangle the sum of interior angles is always 180 degree. So by appropriate equation we get the result as
angle C = 90 -27.2=62.8
9514 1404 393
Answer:
∠B = 53°
∠C = 127°
∠D = 127°
Step-by-step explanation:
The trapezoid is isosceles, as indicated by the hash marks on sides AD and BC. This means it is symmetrical about the vertical center-line. Angles on the right will have the same measures as the symmetrical angles on the left.
So, you know immediately that ∠B = ∠A = 53°.
Because AB ║ DC, ∠A and ∠D are supplementary. That is, ...
∠D = ∠C = 180° -53°
∠D = ∠C = 127°
Answer: 6 sides and 6 vertices
Step-by-step explanation:
A hexagon has 6 six sides and 6 vertices
