Answer: See the picture attached.
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 we know that the scale factor is:
Since:
It is a Reduction.
You can identify that the vertices of the quadritaleral are:
So you need to multiply the coordinates of eac vertex by 
in order to get the coordinates of the image.
Then, you get:
Now you can plot the points and draw the image of the given quadrilateral.
See the picture attached.
You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
Answer: The answer is -90
Answer:
b
Step-by-step explanation:
Length of the actual bathroom = 20 x 2 inches = 40 inches = 10/3 ft
Width of the actual bathroom = 20 x 3.5 inches = 70 inches = 35/6 ft
Area of the actual bathroom = length x width = 10/3 x 35/6 = 19 square ft.
