X + y = 12
x - y = 4
From the second equation we can see that x = 4 + y
We can plug this into the first one and get:
4 + y + y = 12
4 + 2y = 12
2y = 12-4
2y = 8
y = 4
And then we can plug that into “x” and get that x = 4 + 4, or x=8
If you mean
The graph has been attached
If that modulus sign is typing mistake then
The yielded function is
Both graphs attached
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)
![x + y + z = 2 \times 180 \degree \\ x + y + z = 360 \degree \\ x + y + z = 4 \times 90\degree \\ x + y + z = 4 \: right \: angles](https://tex.z-dn.net/?f=x%20%2B%20y%20%2B%20z%20%3D%202%20%5Ctimes%20180%20%5Cdegree%20%5C%5C%20x%20%2B%20y%20%2B%20z%20%3D%20360%20%5Cdegree%20%5C%5C%20%20x%20%2B%20y%20%2B%20z%20%3D%204%20%5Ctimes%20%2090%5Cdegree%20%5C%5C%20x%20%2B%20y%20%2B%20z%20%3D%204%20%5C%3A%20right%20%5C%3A%20angles)
Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
Here ya go. I hope this helps! :) (It was much easier to do this than to try and type it out, in my opinion)