Reflections, rotations, and translations all change the location, but not the size or shape of the parallelogram. Congruence describes the line lengths and angle sizes - all of which will be maintained. Thus, reflections, rotations, and translations will maintain congruence.
All of the options use only reflection, rotation, and translation, so all of these could be the transformation in question.
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The series and the sigma notations are
, 
, 
and 
<h3>How to match each series with the equivalent series written in
sigma notation?</h3>
To do this, we simply expand each sigma notation.
So, we have:
Next, we set n = 0 to 4.
So, we have:
3(5)^0 = 3
3(5)^1 = 15
3(5)^2 = 75
3(5)^3 = 375
3(5)^4 = 1875
So, we have:
Next, we set n = 0 to 4.
So, we have:
4(8)^0 = 4
4(8)^1 = 32
4(8)^2 = 256
4(8)^3 = 2048
4(8)^4 = 16384
So, we have:
Next, we set n = 0 to 4.
So, we have:
2(3)^0 = 2
2(3)^1 = 6
2(3)^2 = 18
2(3)^3 = 54
2(3)^4 = 162
So, we have:
Next, we set n = 0 to 4.
So, we have:
5(3)^0 = 5
5(3)^1 = 15
5(3)^2 = 45
5(3)^3 = 135
5(3)^4 = 405
Hence, the series and the sigma notations are, , and
Read more about sigma notation at:
brainly.com/question/542712
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Answer:
5.5%
Step-by-step explanation:
To find the interest rate, use the equation: I = prt
I = Interest = $6,600
p = principal = $15,000
r = rate = unknown
t = time = 8 years
Now plug the numbers into the equation.
6,600 = 15,000 * r * 8
6,600 = 120,000 * r
Now isolate the variable by dividing both sides of the equation by 120,000.
0.055 = r
Now change the rate to a percent by moving the decimal point 2 digits to the right.
5.5% = r OR r = 5.5%
