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.
Answer:
B I THING I MIGHT GET IT WRONG!!!
Step-by-step explanation:
To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.
-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.
The correct answers are B. What types of music does the 6th grade like? and C. How many sodas do Jack and his friends drink in a week?
Explanation:
Statistical questions are those that can only be answered by collecting and analyzing numerical data. This often implies gathering data from a group of individuals and using this to answer the question. Additionally, statistics questions are complex and do not have a direct or unique answer. In this context, the question "What types of music does the 6th grade like?" is statistical because to answer this, it is necessary to collect data from all students in 6th grade and analyze it. This occurs in "How many sodas do Jack and his friends drink in a week?" because it is necessary to know the number of sodas each person drinks in a week.
On the other hand, the questions "How many pairs of shoes do you own?" or "How many cats does Jack have?" are not statistical because it is not necessary to collect a lot of data to know the answer and they can be answered through only one number.
Answer:
∡SYZ = 34.2°
∡XYZ = 68.4°
Step-by-step explanation:
∡SYZ = 34.2° this must be true because this angle is congruent to ∡XYS
∡XYZ = 68.4° this must be true because ∡XYZ = ∡WYS + ∡SYZ
