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Veronika [31]
2 years ago
15

Which statements are true?

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

All triangles are polygons, have 3 straight sides, and are closed figures. Then the correct options are A, B, and E.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The true statements are given below.

  • All triangles are polygons.
  • All triangles have 3 straight sides.
  • All triangles are closed figures.

Then the correct options are A, B, and E.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

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3 years ago
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Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?
Basile [38]

Answer:

Which number line represents the solution set for the inequality -4(x + 3) S-2 - 2x?

-7 -6 -5 -4 -3 -2 -1 0

1

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-7 -6 -5 -4 -3 -2 -1 0

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1

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0 1 2

Step-by-step explanation:

5 0
3 years ago
a transformation of a rectangle ABCD results in rectangle ABCD whch transformation maps the pre-image to the image
hoa [83]

Answer:

dilation

Step-by-step explanation:

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3 0
3 years ago
Evaluate the following limit:
Makovka662 [10]

If we evaluate the function at infinity, we can immediately see that:

        \large\displaystyle\text{$\begin{gathered}\sf \bf{\displaystyle L = \lim_{x \to \infty}{\frac{(x^2 + 1)^2 - 3x^2 + 3}{x^3 - 5}} = \frac{\infty}{\infty}} \end{gathered}$}

Therefore, we must perform an algebraic manipulation in order to get rid of the indeterminacy.

We can solve this limit in two ways.

<h3>Way 1:</h3>

By comparison of infinities:

We first expand the binomial squared, so we get

                         \large\displaystyle\text{$\begin{gathered}\sf \displaystyle L = \lim_{x \to \infty}{\frac{x^4 - x^2 + 4}{x^3 - 5}} = \infty \end{gathered}$}

Note that in the numerator we get x⁴ while in the denominator we get x³ as the highest degree terms. Therefore, the degree of the numerator is greater and the limit will be \infty. Recall that when the degree of the numerator is greater, then the limit is \infty if the terms of greater degree have the same sign.

<h3>Way 2</h3>

Dividing numerator and denominator by the term of highest degree:

                            \large\displaystyle\text{$\begin{gathered}\sf L  = \lim_{x \to \infty}\frac{x^{4}-x^{2} +4  }{x^{3}-5  }  \end{gathered}$}\\

                                \ \  = \lim_{x \to \infty\frac{\frac{x^{4}  }{x^{4} }-\frac{x^{2} }{x^{4}}+\frac{4}{x^{4} }    }{\frac{x^{3} }{x^{4}}-\frac{5}{x^{4}}   }  }

                                \large\displaystyle\text{$\begin{gathered}\sf \bf{=\lim_{x \to \infty}\frac{1-\frac{1}{x^{2} } +\frac{4}{x^{4} }  }{\frac{1}{x}-\frac{5}{x^{4} }  }  \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =\frac{1}{0}=\infty } \end{gathered}$}

Note that, in general, 1/0 is an indeterminate form. However, we are computing a limit when x →∞, and both the numerator and denominator are positive as x grows, so we can conclude that the limit will be ∞.

5 0
2 years ago
Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine mo
MrMuchimi

Answer:

For Review: Planning Ahead and Contracts Quick Check... these are the answers...

1) B. Yes, you want to begin saving at least 25 years before you plan to retire

2) D. all of the above

3) $2,341.27 per month realized income

4) Your housing and fixed expenses are $702.38 per month do you want to have a four month emergency fund and save it over a nine month period of time how much do you need to save per month?

Answer #4) $312.17 /month

Step-by-step explanation:

702.38 * 4 = 2,809.52 How much you will need to save for 4 months worth or expenses.

Now divide by 9 because that is how many months you will take to save up...

2,809.52 / 9 = 312.17

Answer) $312.17 per month, for 9 months to save 4 months worth or expenses.

8 0
3 years ago
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