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zhannawk [14.2K]
3 years ago
9

Explain why 1/2 of 2 equals one whole.

Mathematics
2 answers:
UNO [17]3 years ago
6 0
Because it’s one half I guess
Annette [7]3 years ago
6 0
Because 1/2 equals to a half
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Answer:

A=\frac{65}{64}\ or\ A=1.015625

Step-by-step explanation:

Given:

The expression is given as:

2^{x-6}+2^{x}

The equivalent expression to the above expression is given as:

A\cdot 2^{x}

Now, simplifying the original expression using the law of indices:

a^{m-n}=\frac{a^m}{a^n}

So, 2^{x-6}=\frac{2^x}{2^6}. The expression becomes:

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Now, 2^x is a common factor to both the terms, so we factor it out. This gives,

=2^x(\dfrac{1}{2^6}+1)\\\\=2^x(\frac{1}{64}+1)\\\\=2^x(\frac{1}{64}+\frac{64}{64})\\\\=2^x(\frac{1+64}{64})\\\\=2^x(\frac{65}{64})\\\\=(\frac{65}{64})\cdot 2^x

Now, on comparing the simplified form with the equivalent expression, we conclude:

A\cdot2^x=(\frac{65}{64})\cdot 2^x\\\\A=\frac{65}{64}\ or\ 1.015625

Therefore, the value of 'A' is A=\frac{65}{64}\ or\ A=1.015625

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Step-by-step explanation:

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Step-by-step explanation:

110° is the vertically opposite angle of one of the interior angles of the given triangle.

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