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ludmilkaskok [199]
2 years ago
5

Find the value of x

Mathematics
1 answer:
Vilka [71]2 years ago
6 0

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}

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liubo4ka [24]

Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get

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9y = -27

y = -3

Substituting this value of y in the first equation, we get

-9x + 4(-3) = 6

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4 years ago
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
IQ scores are normally distributed with a mean of 100 and a
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Answer:

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Step-by-step explanation:

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z₁ = (82 − 100) / 15

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Rounded to the nearest tenth, the percentage is 33.2%.

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Answer:

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