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Vladimir [108]
3 years ago
11

Find the value of each variable.

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

x = 3

y = 6

Step-by-step explanation:

Apply the angle bisector theorem to find both variables.

Based on the theorem, we would have the following:

✔️x/2 = 6/4

Cross multiply

x*4 = 6*2

4x = 12

4x/4 = 12/4

x = 3

✔️9/y = 3/(8 - y)

Cross multiply

9(8 - y) = 3*y

72 - 9y = 3y

72 = 3y + 9y

72 = 12y

72/12 = 12y/12

6 = y

y = 6

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Gnesinka [82]

The value of K for which f(x) is a valid probability density function is 1/4.

<h3>How to solve for the value of K</h3>

\int\limits^4_0 {fx(x)} \, dx =1

\int\limits^2_0 {Kx} \, dx +\int\limits^4_2 {K(4-x)} \, dx =1

K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1

open the equation

K\frac{4}{2}+K[8 - (\frac{16}{2}  -\frac{4}{2} )] = 1\\

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divide through by 4

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4 0
1 year ago
Hi my question is what is 72x13​
wariber [46]
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4 0
2 years ago
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10/12 - 11/12=???<br><br> I just want to correct my homework.
tangare [24]

Answer:

-1/12

Step-by-step explanation:

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5 0
3 years ago
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Plz do this question if you did I will very appreciated you. plz.​
Nastasia [14]

The area formula of a circle is r^{2} × π.

With that being said, we can solve both problems!

Starting with part A:

-The radius we know is 21cm. From there, we can substitute in our formula with the new value.

21^{2} x π

From there, we can square our radius:

(21 x 21) x π

(441) x π

And finally, we can multiply by pi to get our answer.

(441) x π

1385.44236023

Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.

The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!

<em>Hope this helped! :)</em>

5 0
3 years ago
Help fast please geometry
frozen [14]

Answer:

3√6

Explanation:

explanation is in the image above

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2 years ago
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