Answer:
Dilation
Hope that helps!
Step-by-step explanation:
Yes;what's your question?
Answer:

The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.
Step-by-step explanation:
Radius of first circle
= 9 inches
Area of first circle = 
Area of first circle = 9 × 9 × π = 81 π
Now, since the radius is multiplied by 2/3 for from a new circle.
∴ Radius of the second circle = 
Area of second circle = 
Area of second circle = 6 × 6 × π = 36 π
Now,


∵
= 9 inches and
= 6 inches
The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e., 
Answer:
a) two
b) S = {Orange, Purple}
c) 50%
d) 50%
Step-by-step explanation:
a)
When a marble is drawn from the jar, there are <u>two</u> possible outcomes. Either the marble will be orange or it will be purple.
b)
A sample space is a set of all possible outcomes of an event. Thus, the sample space in this case will be:
<u>Sample Space = {Orange, Purple}</u>
c)
The probability of an event is given as the number of favorable outcomes divided by the number of total outcomes.
Therefore,
Probability of selecting orange marble = P(Orange) = 1/2
<u>P(Orange) = 0.5 = 50%</u>
d)
Probability of selecting purple marble = P(Orange) = 1/2
<u>P(purple) = 0.5 = 50%</u>