To dilate an object using a given scale factor we can multiply the coordinates of the object by the scale factor to get the coordinates of the image. However, this can only be done when the center of dilation is the origin (0,0). For non-origin center of dilation like in our case we have to locate the points of the image by construction in a Cartesian plane using the center and the scale factor. In this case we need to measure the distance of A from a point F (center of dilation) the we multiply it by 0.25 (the scale factor) then using the same path we measure the distance we get to locate point A'. Hence, by so doing point A' will be (1,0).
The place value in the thousands for the 0 in 10,000 is three (3).
<h3>What is a place value?</h3>
A place value refers to a numerical value which denotes a digit based on its position in a given number and it includes:
In this scenario, the place value in the thousands for the 0 in 10,000 is three (3).
Read more on place value here: brainly.com/question/2003695
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Answer:
<h2>2. Combining old and new observations.</h2>
Step-by-step explanation:
Through the passage, Nicholas Copernicus is introducing to the reader a new worlds, based on observations from the pass, and recent observations made by scientists. Basically, he's talking about a work where the reader is going to able to learn and be aware about the stars and planets movements in a way that no one could imagine before.
Copernicus specifically states that those observations are based on ancient and new data.
Therefore, the right answer is 2, because it's a combination of old and new observations.
Supplementary angles is when 2 angles add up to 180 degrees.
We will name the smaller angle a and the bigger angle b.
therefore:
b - 172.6 = a
a + b = 180
Now we substitute:
a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3
To find a:
a + b = 180
a + 176.3 = 180
a = 3.7
Therefore,
angle a = 3.7 degrees
angle b = 176.3 degrees.
Hope it helps and have a great day ahead
Answer: n=-2
Step-by-step explanation:
there you go