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natulia [17]
2 years ago
14

Find the value of n in this equation.

Mathematics
1 answer:
lisabon 2012 [21]2 years ago
3 0

Answer:

  • D. 9

=========================

<h2>Given </h2>

Triangle with:

  • Base of n² -3,
  • Midsegment of 39.

<h2>To find</h2>

  • The value of n.

<h2>Solution</h2>

As per definition of midsegment, it is connecting the midpoints of two sides and its length is half the length of the opposite side of the triangle.

So we have:

  • (n² - 3)/2 = 39

Solve it for n:

  • n² - 3 = 78
  • n² = 81
  • n = √81
  • n = 9

Correct choice is D.

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What function is shown by the graph below?
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Answer:

The function f(x)=\sqrt{x+2}  is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵  f(x)=\sqrt{x-2}

∵ x = -2

- Substitute x by -2

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∴ f(-2)=\sqrt{-4} ⇒ it is impossible no square root for (-) number

∴ f(x)=\sqrt{x-2} is not the function shown by the graph

∵  f(x)=\sqrt{x+2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2+2}

∴ f(-2)=\sqrt{0}

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

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∴ f(2)=\sqrt{2+2}

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7 0
3 years ago
What is the value of x in the figure above? ^^
Zielflug [23.3K]
First solve for the other angles.
You know one angle is 15º.
The one across from it is also 15º since it is a vertical angle to the known 15º angle.
Both of those together gets 30º.
The whole thing is 360º, so just subtract 30 from 360 and divide.
360 - 30 = 330
Do the same for the 15x angle.
The one under/across to it is a vertical angle so is also 15xº.
Now you are left with 30xº = 330.
Just divide now.
330 / 30 = 11
x = 11
15x = 165

Checking your work:
15x = 165
15x = 165
15
15
Those are the angles.
Add those numbers together and make sure it adds up to 360º.
165 + 165 + 15 + 15 = 360
So this is correct.
7 0
3 years ago
Free points everyone<br><br>45 + 45 + 90​
klasskru [66]
<h2>Answer:</h2>

<u><em>Thank you for the free points!</em></u>

<u><em>45 + 45 = 90</em></u>

<u><em>45 + 45 + 90 = 180</em></u>

<h2>Step-by-step explanation:</h2>

<em>Have a good one!</em>

<h2>☜(ˆ▿ˆc)</h2>
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How do you simplify this problem?
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1+tan^2(x) = sec^2(x)

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