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julsineya [31]
2 years ago
11

Consider triangle abc what is the value of y in the triangle

Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Answer:

y = 50

Step-by-step explanation:

All triangle angles add up to 180 degrees.

To set this equation up, you need to add everything given in the triangle and set it equal to 180:

y + y + 80 = 180

<em><u>Add like terms:</u></em>

2y + 80 = 180

<u><em>Subtract 80 from both sides:</em></u>

2y + 80 = 180

     - 80   - 80

___________

2y = 100

<u><em>Divide both sides by 2:</em></u>

y = 50

<u><em>If you're unsure, you can plug in the 50 for y:</em></u>

y + y + 80 = 180

50 + 50 + 80 = 180

100 + 80 = 180

180 = 180

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X²+y²-6x+14y-1=0<br> and please show your work so I can learn
Eva8 [605]

Hello there,

I hope you and your family are staying safe and healthy during this winter season.

x^2 + y^2 -6x+14y-1=0

We need to use the Quadratic Formula*

x =\frac{-b+\sqrt{b^2}-4ac }{2a} , \frac{-b-\sqrt{b^2} -4ac }{2a}

Thus, given the problem:

a = 1, b=-6, c=y^2+14y-1

So now we just need to plug them in the Quadratic Formula*

x=\frac{6+2\sqrt{(-6)^2-4(y^2+14y-1)} }{2} , x=\frac{6-\sqrt{(-6)^2-4(y^2+14y-1)} }{2}

As you can see, it is a mess right now. Therefore, we need to simplify it

x=\frac{6+2\sqrt{10-y^2-14y} }{2}, x = \frac{6-2\sqrt{10-y^2-14y} }{2}

Now that's get us to the final solution:

x=3+\sqrt{10-y^2-14y}, x=3-\sqrt{10-y^2-14y}

It is my pleasure to help students like you! If you have additional questions, please let me know.

Take care!

~Garebear

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2 years ago
The cost of cementing 30 m² of floor area is $810. How much will it
Y_Kistochka [10]

Answer:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
A psychological experiment was conducted to investigate the length of time (time delay) between the administration of a stimulus
aleksklad [387]

Answer:

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject H_0: \mu= 1.6, we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

The significance level for this test is 0.05.

Step-by-step explanation:

In this case, we want to prove if there is significant evidence that the mean differs from 1.6 seconds. That is the same as having evidence to reject the the hypothesis H_0:\mu= 1.6 (the null hypothesis always have the equal sign).

We have to test the null hypothesis

H_0:\mu= 1.6

The significance level for this test is 0.05

Calculation of the t-statistic:

t=\frac{M-\mu}{s/\sqrt{n}} =\frac{2.2-1.6}{0.57/\sqrt{36}} =\frac{0.6}{0.063}= 9.47

If we look up in a t-table for t=9.47 and df=(36-1)=35, we get this value appears with a probability of zero. A large number like that is very unlikely to happen.

The P-value of this sample is 0 and is less than the significance level (0.05), so the effect is significant and the null hypothesis is rejected.

As there is significant evidence to reject H_0: \mu= 1.6, we can say that there is significant evidence to claim that the mean time delay for the hypothetical population of all persons who may be subjected to the stimulus differs from 1.6 seconds.

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Find the composite area of the shaded region. Use 3.14 for 11.
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Answer:

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Step-by-step explanation:

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I hate dividing fractions but I think -2/16 off of my best hunch.
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