Because we can transform circle A into circle B by using transformations, we conclude that circle A and B are similar.
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How to prove that the two circles are similar?</h3>
We know that two figures are similar if one is a transformation of the other. So let's find the transformations that we need to apply to circle A to get circle B.
First, let's move the center. We can see that we need to translate circle A 5 units down and 3 units to the left.
Now, the radius of circle A is 5 units, while the radius of circle B is 2 units, then we have a scale factor k such that:
k*5 units = 2 units
k = 2/5
Then, if we apply the transformations to circle A.
- shift of 5 units down.
- shift of 3 units left.
- dilation of scale factor 2/5.
We get circle B, so circle A and circle B are similar.
If you want to learn more about circles, you can read:
brainly.com/question/1559324
Answer:
y = -0.75x + 2
Step-by-step explanation:
y = mx + b
To finish the demonstration that the quadrilateral JKLM is a rhombus we need to prove that side JK is congruent with side LM.
The length of a segment with endpoints (x1, y1) and (x2, y2) is calculated as follows:
![\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substituting with points L(1,6) and M(4,2) we get:
![\begin{gathered} LM=\sqrt[]{(4-1)^2+(2-6)^2} \\ LM=\sqrt[]{3^2+(-4)^2} \\ LM=\sqrt[]{9+16^{}} \\ LM=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20LM%3D%5Csqrt%5B%5D%7B%284-1%29%5E2%2B%282-6%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B3%5E2%2B%28-4%29%5E2%7D%20%5C%5C%20LM%3D%5Csqrt%5B%5D%7B9%2B16%5E%7B%7D%7D%20%5C%5C%20LM%3D5%20%5Cend%7Bgathered%7D)
Given that opposite sides are parallel, all sides have the same length, and, from the diagram, the quadrilateral is not a square, we conclude that it is a rhombus.
Answer:
a. number of periods over which interest is calculated on the loan
Step-by-step explanation:
A formula should always be accompanied by an explanation of what it calculates and the meaning of each of its variables. This formula calculates P, the periodic payment on a loan of n periods at interest rate i (compounded) per period. The principal amount of the loan is PV.
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The same formula can also be used to calculate an annuity from which payment P is received at the end of each of n periods. The amount invested is PV and the interest rate per period (compounded per period) is i.
Answer:
2a/b1 +b2=h
And
2a/h -b2=b1
Step-by-step explanation:
