Answer:
Step-by-step explanation:
Given: The radius of circle O is r, and the radius of circle X is r'.
To prove: Circle O is similar to circle X.
Proof: Move the center of the smaller circle onto the center of the largest circle. Translate the circle X by the vector XA onto circle O. The circles now have the same center.
A dilation is needed to increase the size of circle X to coincide with the circle O. A value which when multiplied by r' will create r.
The scale factor x to increase X:
⇒
A translation followed by a dilation with scale factor will map one circle to the other, thus proving the given both circles similar.
Therefore, circle O is similar to circle X.
Step-by-step explanation:
Answer:

Step-by-step explanation:
<h3>METHOD 1:</h3>

<h3>METHOD 2:</h3>

Answer:
2/9
Step-by-step explanation:
Since there are 18 total eggs (cracked, white, brown) we can say that the denominator will be 18.
There are 8 white eggs, and when half of those are cracked there will be 4 uncracked and 4 cracked, so 4/18.
Simplify 4/18 to 2/9 and there is your answer.