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Afina-wow [57]
4 years ago
12

Two or more angles are supplementary if their sum is 180. An angle is twice the size of its supplement. Set up and solve an equa

tion to find the measures of the two angles.
Mathematics
1 answer:
vekshin14 years ago
8 0

Answer:

  • angle: 120°
  • its supplement: 60°

Step-by-step explanation:

Let "a" represent the measure of the angle. Then 180-a is the measure of its supplement. Your equation can be ...

  a = 2(180-a) . . . an equation

  a = 360 -2a . . . . eliminate parentheses

  3a = 360 . . . . . . add 2a

  a = 120 . . . . . . . . divide by 3 to find "an angle"

  180-a = 60 . . . . . find "its supplement"

The measure of the angle is 120°, of its supplement, 60°.

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Answer:

A=130

Step-by-step explanation:

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3 years ago
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The volume of a​ cone-shaped hole is 16 pi ft cubed . If the hole is 3 ft​ deep, what is the radius of the​ hole?
VashaNatasha [74]
V = 1/3 • π • radius cubed • height

If the volume is is 16π and the height is 3, then 16π = 1/3 • π • r cubed • 3

16π ÷ (1/3 • π • 3) = 16

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8 0
3 years ago
Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

\sin^2\theta+\cos^2\theta=1\implies\cos\theta=\pm\sqrt{1-\sin^2\theta}

but as we've already shown, we need to have \cos\theta, so we pick the negative root.

Finally,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

6 0
4 years ago
Is the equality sometimes always or never true? -2(2x+9)> -4x + 9
lys-0071 [83]
-2(2x+9)>-4x+9
1)We solve this inequation:
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-18>9  This is not true, because -18<9; Therefore this inequation is never true.

Answer: this inequation is never true.
4 0
3 years ago
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Which underfined geometric term can be described as a one dimensional
satela [25.4K]

Hello from MrBillDoesMath!

Answer:

A point.



Thank you,

MrB

7 0
4 years ago
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