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Ludmilka [50]
3 years ago
11

Angles in circles please help

Mathematics
2 answers:
8090 [49]3 years ago
7 0

Answer:

x = 80 degrees

Step-by-step explanation:

it says right there

melamori03 [73]3 years ago
7 0

9514 1404 393

Answer:

  x = 80°

Step-by-step explanation:

The measure of an arc is the same as the measure of the central angle it subtends.

  x = 80°

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1/(x-1)x+1/x(x+1)+...+1/(x+9)(x+10)=11/12
nata0808 [166]

Notice that

\dfrac1{(x-1)x} = \dfrac1{x-1} - \dfrac1x \\\\ \dfrac1{x(x+1)} = \dfrac1x - \dfrac1{x+1} \\\\ \vdots \\\\ \dfrac1{(x+9)(x+10)} = \dfrac1{x+9} - \dfrac1{x+10}

That is, the <em>n</em>-th term (where <em>n</em> = -1, 0, 1, …, 9) in the sum on the left side has a partial fraction decomposition of

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and in the sum, some adjacent terms will cancel and leave you with

\dfrac1{(x-1)x} + \dfrac1{x(x+1)} + \cdots + \dfrac1{(x+9)(x+10)} = \dfrac1{x-1} - \dfrac1{x+10} = \dfrac{11}{12}

Now solve for <em>x</em>, bearing in mind that we cannot have <em>x</em> = 0, -1, -2, …, -10 :

\dfrac1{x-1} - \dfrac1{x+10} = \dfrac{11}{12}

Combine the fractions on the left side:

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4 0
3 years ago
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attashe74 [19]
5022 ÷ 18 = 279

your tell you mom to collect 279
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3 years ago
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Bonnie would need to mix 1.5mL of soy sauce for every 1mL of vinegar
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