Answer:
50 degrees
Step-by-step explanation:
A whole line is 180 degrees.Subtract the known angle from 180 to find the missing angle,which is 50 degrees.
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>


![K[\frac{2^2}{2} -0]+[K[4(4-2)-(\frac{4^2}{2} -\frac{2^2}{2} )]=1](https://tex.z-dn.net/?f=K%5B%5Cfrac%7B2%5E2%7D%7B2%7D%20-0%5D%2B%5BK%5B4%284-2%29-%28%5Cfrac%7B4%5E2%7D%7B2%7D%20-%5Cfrac%7B2%5E2%7D%7B2%7D%20%29%5D%3D1)
open the equation
![K\frac{4}{2}+K[8 - (\frac{16}{2} -\frac{4}{2} )] = 1\\](https://tex.z-dn.net/?f=K%5Cfrac%7B4%7D%7B2%7D%2BK%5B8%20-%20%28%5Cfrac%7B16%7D%7B2%7D%20%20-%5Cfrac%7B4%7D%7B2%7D%20%29%5D%20%3D%201%5C%5C)
![2K+K[\frac{4}{2} ]=1](https://tex.z-dn.net/?f=2K%2BK%5B%5Cfrac%7B4%7D%7B2%7D%20%5D%3D1)
2K + 2K = 1
4K = 1
divide through by 4
K = 1/4
Read more on probability density function here
brainly.com/question/15714810
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Answer: option d.
Step-by-step explanation:
If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

Where<em> k</em> is the constant of variation.
If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

<em> </em>Substitute the value of <em>k</em> into the expression. Then, the equation is:

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:


<em> </em>
Answer:
1 
Step-by-step explanation:
5/3 = 3/3 * 2/3
3/3 = 1
So the answer is 1 
All you need to do is plug in the points!
Here we go:
3(0)- 4(-5)-8
If it equals 12, then it is a point and an answer.
3(0)- 4(-5)-8= 12
(0,-5) is a point!
Next one:
3(4)-4(-2)-8
12+8-8
That equals twelve. (4,-2) is an answer as well!
I am going to quickly plug in the rest of the points, since I think you have the idea.
<span>(8,2) 3(8)-4(2)-8= 8 This is not an answer.
(-16,-17) 3(-16)-4(-17)-8 = 12 This is answer.
(-1,-8) 3 (-1)-4(-8)-8= 21 This is not an answer.
(-40,-34) 3(-40)-4(-34)-8= 8 This is not an answer.
</span>
I hope this helped you!
Brainliest answer is always appreciated!