Step-by-step explanation:
Susan needs to walk a total distance of 1/2 of a mile. She has walked 1/8 of a mile so far. How much further does she have to go? Simplify the fraction if possible.
Answer:
The scale factor is 
<u>We can say that both circles are similar.</u>
Step-by-step explanation:
If we move the little circle to the center of the bigger circle, so the <u>translate vector will be (3,5).</u>
Now we realize that the bigger circle is just a dilation of the smaller circle, the<u> scale factor is:</u>



Therefore, <u>we can say that both circles are similiar.</u>
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I hope it helps you!
Answer:
C. Transitive Property
Step-by-step explanation:
The transitive property states that: If q = r and r = s, then q = s. In other words, if q is related to r by some property, and r is related to s by the same property, then q is related to s by that property.
In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:

Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:

If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:

We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles
Answer:
(-10, 10) and (0,10).
Step-by-step explanation:
For a point to be a solution to the system of inequalities, you will need to see which of the points falls into the shaded area.
When we test out each of the points, we can see that only:
(-10, 10) and (0,10) fall into the blue-shaded area.