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3 years ago

Are all parallel lines congruent?

Mathematics

1 answer:

Virty [35]3 years ago

5 0

Answer:

Line segments are congruent if they have the same length. However, they need not be parallel. They can be at any angle or orientation on the plane. In the figure above, there are two congruent line segments. If you drag any of the four endpoints, the other segment will change length to remain congruent with the one you are changing.

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Answer:

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Answer:

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Step-by-step explanation:

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2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?

mezya [45]

Answer:

the inverse of the quadratic function $f(x) = x^2 - 3$ is $\mathbf{f^{-1}(x)=\pm \sqrt{x+3}}$

Step-by-step explanation:

We need to find inverse of the quadratic function $f(x) = x^2 - 3$

Let

$y=x^2-3$

Replace x and y

$x=y^2-3$

Now, we will solve for y

Adding 3 on both sides

$x+3=y^2-3+3$

$x+3=y^2$

Taking square root on both sides

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Now replace y with $f^{-1}(x)$

$f^{-1}(x)=\pm \sqrt{x+3}$

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3 years ago

Jack earns $40 in interest each year on an investment. What is his interest rate if his principal was $200

Fudgin [204]

Answer:

The interest rate is 20%.

Step-by-step explanation:

In order to calculate the interest rate, we need to compute how many percents the value he recieves is related to the total he invested. In this case he recieves 40 every year and he invested 200, to calculate that we will apply a rule of three. We have:

$200 -> 100%

$40 -> x%

200/40 = 100/x

200*x = 40*100

200*x = 4000

x = 4000/200 = 20

The interest rate is 20%.

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3 years ago