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finlep [7]
3 years ago
12

Help please and make sure the answer is right! Please :(

Mathematics
1 answer:
likoan [24]3 years ago
8 0

You see how these 2 angles marked are both inside the 2 parallel lines?

And they are on opposite side of the transversal, the line crossing the 2 parallel lines?

These 2 angles are alternate interior angles and they are equal, I think you can do the last part by yourself.

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4(3-2x)=15 please helppp
mestny [16]

Answer:

x = -3/8

Step-by-step explanation:

4(3-2x)=15

Distribute

12 -8x = 15

Subtract 12 from each side

12-8x-12 = 15-12

-8x =3

Divide each side by -8

-8x/-8 = 3/-8

x = -3/8

7 0
3 years ago
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Please help me <br><br>If 180°&lt;α&lt;270°, cos⁡ α=−8/17, what is sin -α?
rewona [7]

Starting from the fundamental trigonometric equation, we have

\cos^2(\alpha)+\sin^2(\alpha)=1 \iff \sin(\alpha)=\pm\sqrt{1-\cos^2(\alpha)}

Since 180, we know that the angle lies in the third quadrant, where both sine and cosine are negative. So, in this specific case, we have

\sin(\alpha)=-\sqrt{1-\cos^2(\alpha)}

Plugging the numbers, we have

\sin(\alpha)=-\sqrt{1-\dfrac{64}{289}}=-\sqrt{\dfrac{225}{289}}=-\dfrac{15}{17}

Now, just recall that

\sin(-\alpha)=-\sin(\alpha)

to deduce

\sin(-\alpha)=-\sin(\alpha)=-\left(-\dfrac{15}{17}\right)=\dfrac{15}{17}

6 0
3 years ago
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Help thanks//////////??????????
3241004551 [841]

Answer:

Step-by-step explanation:

At the point where two line cut across, the vertically opposite angles formed are equal. This means that

2x degrees = 78 degrees

Dividing the left hand side and the right hand side of the equation by 2, it becomes

2x/2 = 78/2

x = 39

Checking,

The sum of the angles on a straight line is 180 degrees.

180 - 78 = 102 degrees

2x + 102 = 180

2x = 180 - 102 = 78

x = 78/2 = 39

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luda_lava [24]

Answer: A

Step-by-step explanation: 5*5=25  it is negative so the answer is -25

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