Complementary means that two angles add up to 180. Adjacent angles share a common side. Angles 1 and 2 are both adjacent and complimentary. This is because not only do they share a common side, but they also add up to 90 degrees.
8x-66=2x (write it out as algebra)
6x=66(put the x’s on one side)
x=11 (simplify)
Answer:
x-intercept: (4, 0)
y-intercept: (0, 3)
Step-by-step explanation:
The intercepts of the equation can be found by setting each variable to zero and solving for the other. The graph will be a line through the intercept points.
<h3>Intercepts</h3>
Setting x=0 and solving for y, we have ...
4y -12 = 0 ⇒ y = 12/4 = 3
Setting y=0 and solving for x, we have ...
3x -12 = 0 ⇒ x = 12/3 = 4
The intercepts are ...
x-intercept: (4, 0)
y-intercept: (0, 3)
<h3>Graph</h3>
The line will go through these intercept points.
For this case we have the following system of inequalities:
![8x-3y](https://tex.z-dn.net/?f=8x-3y%20%3C4%5C%5C9x%20%2B%202y%20%3C-1)
We must verify if the point
is a system solution
Inequality 1:
![8 (5) -3 (-5)](https://tex.z-dn.net/?f=8%20%285%29%20-3%20%28-5%29%20%3C4%5C%5C40%20%2B%2015%20%3C4%5C%5C55%20%3C4)
Inequality is not met!
Thus, the given point is not a system solution.
Answer:
The point is not a system solution.