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3 years ago

Find the values of x and y.

Mathematics

1 answer:

WARRIOR [948]3 years ago

3 0

Answer:

y=105°

x=75°

x=139°

y=41°

x=36

y=72°

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If five times the measure of an angle is decreased by 30, the result is the same as when two times the measure of the angle is i

Serhud [2]

Answer:

Step-by-step explanation:

Let "a" represent the measure of the angle. Then ...

5a -30 = 2a +18

3a = 48 . . . . . . . add 30-2a

a = 16 . . . . . . . . . divide by 3

An angel is beyond measure, but this angle has measure 16.

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3 years ago

A video has a scale factor of 16:9. the short side is 5 cm how long is the long side. show your work to be the brainleest.

Fittoniya [83]

Answer:

8.89cm

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3 years ago

Which point on the number line below represents the number opposite the<br> number -51

drek231 [11]

Answer:

Step-by-step explanation:

The opposite of a number is found by taking the opposite sign of the one given. The opposite of 3 is -3; the opposite of -2 is 2.

Therefore, the opposite of -5.5 (point P) is 5.5 (point S).

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3 years ago

<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20If%20%7D%20%5Cint_%7B%5Cfrac%7B-1%7D%7B%5C

Elodia [21]

We want to evaluate

$\displaystyle \int_{-\frac1{\sqrt2}}^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx$

First we note that the integrand is even (replacing x with -x doesn't fundamentally alter the function being integrated), so this is equal to

$\displaystyle 2 \int_0^{\frac1{\sqrt2}} \sqrt{\left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2} \, dx$

The radicand reduces significantly to

$\displaystyle \left(\frac{x-1}{x+1}\right)^2 + \left(\frac{x+1}{x-1}\right)^2 - 2 = \frac{16x^2}{(1-x^2)^2}$

so that taking the square root, we simplify the integral to

$\displaystyle 8 \int_0^{\frac1{\sqrt2}} \frac x{1-x^2} \, dx$

which is trivially computed with a substitution of $y = 1 - x^2$ and $dy=-2x\,dx$ :

$\displaystyle -4 \int_1^{\frac12} \frac{dy}y = 4 \int_{\frac12}^1 \frac{dy}y = -4 \ln\left(\frac12\right) = \ln(2^4) = \boxed{\ln(16)}$

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2 years ago

The point A(5,-2) has been transformed to A'(-5,2). The transformation is described

Alisiya [41]

Answer:

Step-by-step explanation:

If the y and x changed places, then, the point was rotated half a full rotation around, which is 180 degrees

Thus, the answer is C

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3 years ago