George is given two circles, circle O and circle X 1 as shown. If he wants to prove that the two circles are similar, what would
be the correct first step in his proof? Given: The radius of circle Oisrand the radius of circle Xis Prove: Circle similar to circle X.
1 answer:
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:
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Answer:
D) 1980 to 2000
Step-by-step explanation:
Finding the average rate of change in each interval to determine the greatest one.
Production per interval
1950-1960 = = 10 million
1960-1970 = = 20 million
1970-1980 = = 30 million
1980-2000 = million
Rate of change (1950-1960)=
Rate of change (1960-1970) =
Rate of change (1970-1980)=
Rate of change (1980-2000)=
∴ rate of change between 1980 to 2000 is 126.78%
