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Eva8 [605]
3 years ago
13

Which statement proves that the two circles are similar? (1 point)

Mathematics
1 answer:
CaHeK987 [17]3 years ago
8 0

Answer:

The circles B and D are similar because B can be mapped onto D by a translation of 8 units to the right and 1 unit down, followed by a dilation about its center by a scale factor of 0.5.

Step-by-step explanation:

If we translate the circle about its center, Circle B's center will coincide with Circle D's Center.

Circle B radius is 4 while Circle D radius is 2 so we need to dilate Circle B radius to shrink it to 2.

When we shrink a figure, the dilation scale factor must be less than 1 but what is the scale factor.

Use the formula

y=kx where y is the new radius and x is the original radius and k is the scale factor

2 =  k(4)

\frac{2}{4}  = k

k = 0.5

THe second second statement is the answer.

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∠QPS is a right angle and m∠QPR = 71°, what is m∠RPS?
natta225 [31]

Answer: <RPS = 161

Step-by-step explanation:

P is the common vertex in all of these angles. From this we know that these have to be adjacent angles (<QPR and <QPS) that equal the whole angle (<RPS)

<QPR+<QPS= <RPS

71+90= 161

(<QPS is a right angle. Right angles are equal to 90 degrees.)

8 0
2 years ago
Find f(x) = 12/4x+2 find f(-1)
NeTakaya
X=-1
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3 years ago
Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negati
Nat2105 [25]

The simplest form of the algebraic expression is x^-4y^-8/x^12y^-12 (Option B)

<h3>What is simplification?</h3>

The term simplification is mathematics refers to the depiction of the expression in its lowest possible format. In the simplest form, the expression can not be simplified further.

Now we have the original expression as;

(xy^2/x^-3y^3)

The only possible step in the expansion is to open up the bracket by the laws of indices and we get;

x^-4y^-8/x^12y^-12 (Option B)

Learn more about algebraic expression:brainly.com/question/953809

#SPJ1

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