Our three axioms A1,A2 and A3 for affine plane geometry are consistent since there is at least one model for these axioms. However this system is incomplete because in this system there exist relevant statements which cannot be either proven or disproven. Consider for example the statement A7.
If your question is how much is 2 multipled by 2, then:
2 × 2 = 4
If your question is how much is 2 divided by 2, then:
2 ÷ 2 = 1
If your question is how much is 2 plus 2, then:
2 + 2 = 4
If your question is how much is 2 minus 2, then:
2 - 2 = 0
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Answer:
the correct answer is A
6/5x^10
Step-by-step explanation:
<h3>
Answer: There is only one answer and it is choice B</h3><h3>Angle 1 and angle 4 are alternate interior angles</h3>
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Explanation
- A. This is false because it should be angle 4 + angle 5 = 180 without the angle 6. Adding on angle 6 results in some angle larger than 180. Note how angle 5 = (angle 3)+(angle 6).
- B. This is true and useful to showing that the three angles of a triangle add to 180 degrees. This is because you'll use the fact that angles 4, 5 and 6 combine to 180 degrees.
- C. While this is a true statement by the exterior angle theorem, it is not useful to the proof. It is better to state that angle 2 and angle 6 are congruent because they are alternate interior angles.
- D. Like choice C, it is true but not useful. It's better to say that angle 1 is congruent to angle 4. See choice B above.
Note how it's not enough for a statement to be true. It also needs to be relevant or useful to the context at hand. A more simpler example of this could be stating that x+x = 2x.