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MA_775_DIABLO [31]
3 years ago
15

Please answer this question now in two minutes

Mathematics
2 answers:
Softa [21]3 years ago
8 0

Answer:

OPS and QPN

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross

"Vertical" in this case means they share the same Vertex (corner point), not the usual meaning of up-down.

MariettaO [177]3 years ago
3 0
OPS and QPN got this answer from the text book had the same answer
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Alisiya [41]
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8 0
2 years ago
General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}
mixer [17]

Answer:

\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

Step-by-step explanation:

Given:

\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1

First, note that

\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x

So, the equation is

-\cos x+\sin x= -1

Multiply this equation by \frac{\sqrt{2}}{2}:

-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}

The general solution is

x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.

4 0
3 years ago
2x+2+2x-17=180 what's x?
Alik [6]

Answer:

x= 48.75

Step-by-step explanation:

Add like terms

2x+2x and

2-17

4x-15=180

Now subtract -15 to both sides get x by itself

4x-15+15=180+15

4x=195

Now divide by four to each side to get x by itself again

4x/4 = 195/4

x=48.75

3 0
3 years ago
Read 2 more answers
Calcylate the volume of this regular solid
MatroZZZ [7]

Answer:

V = 270 cm³

Step-by-step explanation:

Remember your volume formula: V=<em>lwh</em>

So, plug in all your variables and multiply:

(6)(5)(9) = 270

And we have our final answer!

8 0
3 years ago
i need help solving the bottom part and filling the letters in the teacher said some spaces and supposed to be blank ​
FromTheMoon [43]

Answer:

c

Step-by-step explanation:

8 0
2 years ago
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