Answer:
Hence, option D is correct (i.e. Distance is not preserved under dilation).
Step-by-step explanation:
<em>" A dilation is a transformation that produces an image that is the same shape as the original, but is a different size ".</em>
A) Angle measure:
Angle measures remains same as there is only a difference in their size the shape does not changes.
Hence angle measure is preserved.
B) Betweenness:
It is also preserved. since if any point in before dilation is between two points than after dilation it remain between them only.
C) Collinearity:
Points remain on the same line.
Hence, it is preserved.
D) Distance:
The distance is not preserved. since the length of the segment increase or decrease in dilation hence distance between two point also increase or decrease.
E) Proportionality:
In a dilation, the sides of the pre-image and the corresponding sides of the image are proportional. Hence it is also preserved.
Answer:
4:9
Step-by-step explanation:
To take the scale factor from distance to area, we square it
2:3 distance
Square each term
2^2 : 3^2 area
4:9
First, let x or any variable represent the number of paintings Kate initially has. After selling 12 of it, her paintings now becomes only x - 12. Then, she purchased 7 more making the number of her paintings become x - 12 + 7 = x - 5. This number tantamount to 21.
x - 5 = 21 ; x = 26
Thus, Kate initially had 26 paintings.
1.) Distribute 4 to (3x) & (8):

,

2.) Rewrite the expression:

3.) Combine like terms:

4.) Rewrite the final expression:
Final Answer: <span>

Hope this helps!!
</span>
Answer:
<u><em>He created numerous programs to provide relief to the unemployed and farmers while seeking economic recovery with the National Recovery Administration and other programs</em></u>
<u><em>He also instituted major regulatory reforms related to finance, communications, and labor, and presided over the end of Prohibition</em></u>
Step-by-step explanation:
Hope this helps:)