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jonny [76]
4 years ago
9

In the figure, angle D measures 31° and angle A measures 27°.

Mathematics
1 answer:
Nastasia [14]4 years ago
8 0
If we assume that the figure is a triangle with a supplementary angle outside the triangle ABD, ∠F. Given that angle D is 31 and angle A is 27. Therefore, angle B is 122. Then, angle F is supplementary to angle D, meaning angle F will have a measurement of 180 - 31 = 149. 
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Phantasy [73]

Answer:

d = -3e

Step-by-step explanation:

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in a school containing 360 children, 198 are girls. What percent of the school are girls? What percent of the school are boys? H
almond37 [142]

Answer:

What percent of the school are girls? 55%

What percent of the school are boys? 45%

How many boys are there? 162

How many girls are there? 198

Step-by-step explanation:

The number of girls = 198

The percent of girls = 198/360 x 100% = 55%

The number of boys = 360-198 = 162.

The percent of boys = 162/360 x 100% = 45%.

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How can I show her numbers are related to each other
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3 years ago
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4 years ago
Need help with math homework
Pavel [41]

Hello!

The answer for A is:

X1=-1\\X2=5

The answer for B is: The rocket will hit the lake surface in 5 seconds.

<h2>Why?</h2>

Defining the terms:

a=-16\\b=64\\c=80\\

So, replacing it in the quadratic equation (it's given to you in the exercise)\\

x=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}

x=\frac{-64+-\sqrt{64^{2}-4*-16*80 } }{2*-16}

x=\frac{-64+-\sqrt{64^{2}+5120} }{-32}=\frac{-64+-\sqrt{4096+5120} }{-32}\\x=\frac{-64+-\sqrt{9216} }{-32}=\frac{-64+-\ 96 }{-32}\\x=\frac{-64+-\ 96 }{-32}\\x1=\frac{-64+\ 96 }{-32}=\frac{32}{-32} =-1\\\\x1=\frac{-64-\ 96 }{-32}=\frac{-160}{-32} =5\\

We are working with a quadratic equation, so we will have two possible results,

X1=-1\\X2=5\\

Now, we are asked to find the time, time can not be a negative value, we have to discard X1 (-1) since it's a negative value, knowing that, the rocket will hit the lake after 5 seconds.

Have a nice day!

5 0
4 years ago
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