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3 years ago

Help solve for X. I will give brainliest to the best answer!!! PLEASEEEE

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

Answer:

Step-by-step explanation:

So first do 104+76+104=284

Now form the equation 10x-4+284=360

It is 360 because this is a quadrilateral.

Now combine like terms.

10x+280=360

10x=80

x=8

Check 80-4=76

The other angle is 76 so you know your answer is correct

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bulgar [2K]

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Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

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$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

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which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

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2 years ago

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Using the equation of a circle with center (h, k)

(x - h)² + (y - k)² = r² where r = radius of the circle.

Given that r = 10 units, and substituting the values of the other variables into the equation, we have

(x - h)² + (y - k)² = r²

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