"The lines of reflection are parallel to the sides of the polygon" is the statement that is true about the lines of reflection for the polygon that will map the shape onto itself. The correct option among all the options that are given in the question is the third option or option "C". I hope that the answer has helped you.
You first need to find the LCD (lowest common denominator). You will need to find the smallest number that is a multiple of all numbers that is the denominator (2, 16, 8). Or, to say it another way, all the numbers in the denominator need to be a factor of this number.
You can find this by first checking if the largest number that is the denominator-- in this case 16-- is already the LCD, which means 16 is divisible by all the other numbers.
If this does not work, then multiply all the numbers together to get the LCD-- since you multiplied them together, you know that they will all be factors of the product.
However, you will be able to see that 16 is indeed the lowest common denominator:
2 × 8=16
8 × 2=16
16 × 1=16
So, after you find the LCD, multiply both the numerator and the denominator by the number that you would need to multiply the denominator to get the LCD (the whole point is that you want to get the denominator to be the LCD, but to do that you need to multiply both the top and bottom by the same number to keep the fraction the same).
(1/2) x (8/8)= 8/16
(3/16) x (1/1)= 3/16
(7/8) x (2/2)= 14/16
The single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
<h3>How to determine the transformation?</h3>
From the figure, we have:
- Shape A is twice the size of shape B
- Both shapes can be rotated by 180 degrees in either direction to map onto the other, after dilation.
This means that:
The scale of dilation from shape A is:
k = 1/2
Hence, the single transformation from shape A to B is: dilate A by 1/2, followed by a 180 degrees rotation
Read more about transformations at:
brainly.com/question/11707700
#SPJ1
Answer:
Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:
Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):
It follows that b=0
The equation now takes the form:
Using the point (12,5):
We find m:
The final equation is:
Substituting t=1:
The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
