Answer:

Step-by-step explanation:
A Dilation is defined as a transformation in which the image and the pre-image have the same shape, but their sizes are different.
When the scale factor is greater than 1, the image obtained after the dilation is greater than the pre-image and it is an "Enlargement".
When the scale factor is is between 0 and 1, the image obtained after the dilation is smaller than the pre-image and it is an "Reduction".
In this case you know that the triangle ABC was dilated by this scale factor:

With the origin as the center of dilation.
Since:

It is a Reduction.
You can identify that the vertices of the triangle ABC are:

So you need to multiply the coordinates of each vertex of the triangle ABC by
, in order to get the coordinates of the triangle A'B'C. Then, you get:

Answer:
1.
a. American Ampersand
2.
a. is the answer
Step-by-step explanation:
For the standard deviation they did population standard deviation instead of just standard deviation.
Answer:
x = 19
Step-by-step explanation:
The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.
Each side of the base measures x - 6, and the perimeter of the base is 78 units.
Length of each side = x - 6
The total length of the base = perimeter of the base.
The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:
Perimeter of base = 6(x - 6)
78 = 6x - 36
6x = 78 + 36
6x = 114
x = 114 / 6
x = 19
Length of each side of base = x - 6 = 19 - 6 = 13 units
Answer:
I guess both of the answers are correct.Hope the picture will help you.....
12 x 14 =168 square feet.
<span>If the pavers were 1 foot by 1 foot we would need 168 pavers </span>
<span>BUT.. your paver is 8 inches which is 8/12 or 2/3 of a foot. </span>
<span>It is 2/3 times 2/3 or 4/9 square ft </span>
<span>168 divided by 4/9 </span>
<span>which is the same as 168 times 9/4 </span>
<span>That will get you to 378.</span>