Answer:
n=4
Step-by-step explanation:
5n+34= -2( 1 - 7n)
Distribute -2 to (1-7n)
Which then gives you: 5n+34= -2+12n
Now, subtract -34 from both sides ( 34 and -2)
This then gives you: 5n-14n-36
Next, subtract 14 from both sides ( 5n and 14n)
This then gives you: -9n=-36
Lastly, divide -9 on both sides.
This then gives you, n=4
Math is WACK!
Hope this helped, attachment I added has all of the work on it!
For this case we have that by definition:
Complementary angles are those that add up to 90 degrees.
We have the following variables:
x: Angle
y: Complement of the angle
According to the statement we have:
![\frac{1}{3}y = 2x-5](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dy%20%3D%202x-5)
According to the given definition we have:
![x + y = 90](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2090)
So, we have two equations with two unknowns:
-----> (1)
-----> (2)
From (1) we clear y:
![y = 3 * (2x-5)\\y = 6x-15](https://tex.z-dn.net/?f=y%20%3D%203%20%2A%20%282x-5%29%5C%5Cy%20%3D%206x-15)
We substitute and in (2):
![x + (6x-15) = 90\\x + 6x-15 = 90\\x + 6x = 90 + 15\\7x = 105](https://tex.z-dn.net/?f=x%20%2B%20%286x-15%29%20%3D%2090%5C%5Cx%20%2B%206x-15%20%3D%2090%5C%5Cx%20%2B%206x%20%3D%2090%20%2B%2015%5C%5C7x%20%3D%20105)
![x =\frac{105}{7}\\x = 15](https://tex.z-dn.net/?f=x%20%3D%5Cfrac%7B105%7D%7B7%7D%5C%5Cx%20%3D%2015)
Thus, the angle is
degrees.
Answer:
![x = 15 degrees.](https://tex.z-dn.net/?f=x%20%3D%2015%20degrees.)