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asambeis [7]
3 years ago
13

Which pair of angles must be supplementary?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
6 0
∠3 and ∠4 are angles that must be supplementary.
Elina [12.6K]3 years ago
4 0
If something is supplementary, that means that together they must equal 180.
A line=180

<3 and <1 are supplementary because they are linear pairs, meaning that together they must equal 180
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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bm%7D%20%20%3D%20n%20" id="TexFormula1" title=" {2}^{m} = n " alt=" {2}^{m} =
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Answer:

\displaystyle n^3-\frac{1}{n^{2}}

Step-by-step explanation:

<u>Exponents Properties</u>

We need to recall the following properties of exponents:

(a^x)^y=(a^y)^x=a^{xy}

\displaystyle a^{-x}=\frac{1}{a^x}

We are given the expression:

2^m=n

We need to express the following expression in terms of n.

8^m-4^{-m}

It's necessary to modify the expression to use the given equivalence.

Recall 8=2^3 \text{ and }4 = 2^2. Thus:

(2^3)^m-(2^2)^{-m}

Applying the property:

(2^m)^3-(2^m)^{-2}

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n^3-n^{-2}

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\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}

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