Answer: Choice A
A translation 4 units to the left followed by a dilation by 2
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Explanation:
The following transformations will make the pre-image and image congruent to one another:
- Reflection
- Rotation
- Translation
If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.
A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.
Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.
Answer:
Top = Bottom = 156
Right = 26
Step-by-step explanation:
See attached file for complete work.
Move 1 to the other side, making it negative
-1+106=7n
105=7n
divide both sides by 7
n=15
Answer:
1) 10000. When asked to pick a set of four decimal digits, then the total number of combinations possible are 10⁴. More generically speaking, if asked to pick a random set of n digits expressed in base b, then the total number of combinations available is bⁿ.
2a) 95%. According to the "Empirical Rule" 95% of data in a normal distribution falls within two standard deviations of the average.
2b) 68%. Again, using the Empirical Rule, we know that 68% fall within one standard deviation of the average.
7 is the tens place. that is answer