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Mathematics

1 answer:

Len [333]2 years ago

5 0

Answer:

2/5 (B)

Step-by-step explanation:

$x^\frac{1}{y}=\sqrt[y]{x}$

So:

$\sqrt{\frac{4}{25}}=\frac{2}{5}$ because

$(\frac{x}{y})^z=\frac{x^z}{y^z}$

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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

salantis [7]

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: