<span><u><em>The correct answer is: </em></u>
dilation and rotation.
<u><em>Explanation</em></u><span><u><em>: </em></u>
Rotations, reflections and translations are known as rigid transformations; this means they do not change the size or shape of a figure, they simply move it. These rigid transformations preserve congruence.
Dilation, however, are not rigid transformations, since they change the size of a shape. Dilation would not change the shape, just the size; the angle measures would be the same, and the ratio of corresponding sides would be equal to the scale factor used in the dilation. This would give us a similar, but not congruent, figure.</span></span>
Answer:
x = 25
Step-by-step explanation:
According to the hint: The two angle measures would add up to 180°.

Hope this helps.
Answer:
The slope of the line that models this relationship is 0.50 US dollars per soda.
Step-by-step explanation:
At first we suppose the existence of a linear relationship between total cost (
), measured in US dollars, and the number of sodas (
), measured in sodas, that is:
(1)
If we know that
and
, then the slop of the line is:



The slope of the line that models this relationship is 0.50 US dollars per soda.
Answer:
The skirt was originally 24 dollars
Step-by-step explanation:
3/4 ( b+s) = 31.50
where b is the original price of the blouse and s is the original price of the skirt
b = 18
3/4 ( 18+s) = 31.50
Multiply each side by 4/3
4/3 * 3/4 ( 18+s) = 31.50 *4/3
18+s =42
Subtract 18 from each side
18+s-18 = 42-18
s =24
The skirt was originally 24 dollars
8 is the answer because the pencils would have been depleted