We are told that circle C has center (-4, 6) and a radius of 2.
We are told that circle D has center (6, -2) and a radius of 4.
If we move circle C's center ten units to the right and eight units down, the new center would be at (-4 + 10), (6 - 8) = (6, -2). So step 1 in the informal proof checks out - the centers are the same (which is the definition of concentric) and the shifts are right.
Let's look at our circles. Circle C has a radius of 2 and is inside circle D, whose radius is 4. Between Circle C and Circle D, the radii have a 1:2 ratio, as seen below:

If we dilate circle C by a factor of 2, it means we are expanding it and doubling it. Our circle has that 1:2 ratio, and doubling both sides gives us 2:4. The second step checks out.
Translated objects (or those that you shift) can be congruent, and dilated objects are used with similarity (where you stretch and squeeze). The third step checks out.
Thus, the argument is correct and the last choice is best.
The correct option is B which is the value of PG is 3 units.
Given
The scale factor of the dilation of segment HG is 1/6.
If PG' equals 0.5 units,
<h3>What is the scale factor?</h3>
The scale factor is a measure for the identical shapes, which look identical but have various scales or measures.
The scale factor of the dilation of segment HG is 1/6.
By the rule of scale factor;

Where SF represents the scale factor.
Solving for PG, we get:

Hence, the value of PG is 3 units.
To know more about the Scale factor click the link given below.
brainly.com/question/16806865
Whole number because it’s not the others
Step-by-step explanation:
estimate the sums and round the numbers to the neares hundred
Answer:
A) 11/P + 6
Let Ben’s age now be B
Anita’s age now is A.
(A - 6) = P(B - 6)
But A is 17 and therefore 11 = P(B - 6)
11/P = B-6
(11/P) + 6 = B
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