Translate each sentence into a formula
1 answer:
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<h3>Answer: Check out the diagram below.</h3>
Explanation:
Use your straightedge to extend segment AB into ray AB. This means you'll have it start at A and go on forever through B. Repeat these steps to turn segment AC into ray AC.
The two rays join at the vertex angle A. Point A is the center of the universe so to speak because it's the center of dilation. We consider it an invariant point that doesn't move. Everything else will move. In this case, everything will move twice as much compared to as before.
Use your compass to measure the width of AB. We don't need the actual number. We just need the compass to be as wide from A to B. Keep your compass at this width and move the non-pencil part to point B. Then mark a small arc along ray AB. What we've just done is constructed a congruent copy of segment AB. In other words, we've just double AB into AB'. This means the arc marking places point B' as the diagram indicates.
The same set of steps will have us construct point C' as well. AC doubles to AC'
Once we determine the locations of B' and C', we can then form triangle A'B'C' which is an enlarged copy of triangle ABC. Each side of the larger triangle has side lengths twice as long.
Note: Points A and A' occupy the same exact location. As mentioned earlier, point A doesn't move.
Answer:
Min = 0; Q₁ = 0; Median = 2; Q₃ = 2; Max = 8
Step-by-step explanation:
Assume that your sorted data are
0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8
1. Minimum
Min = 0
2. Median
The median is the middle value in a sorted data set. There are 25 items, so the median is the 13th item.
Median = 2
3. First quartile
Q₁ is the median of the lower half of the data set.
The median of 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2 is 0.
Q₁ = 0
4. Third quartile
Q₃ is the median of the upper half of the data set.
The median of 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 5, 8 is 3.
Q₃ = 3
5. Maximum
Max = 8
