C) Adjacent angles whose exterior sides are perpendicular rays are complementary.
Complementary = add up to 90
Supplementary = add up to 180
<h3>
<u>Explanation</u></h3>
- Pick two coordinate points that you want to use for finding slope.
![(0,3) \: \: \: \: (2,11)](https://tex.z-dn.net/?f=%280%2C3%29%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%282%2C11%29)
Then we use the slope formula which is:
![m = \frac{dy}{dx} = \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20)
Substitute the coordinate values in.
![m = \frac{11 - 3}{2 - 0} \\ m = \frac{8}{ - 2} \longrightarrow \frac{4}{ - 1} \\ m = - 4](https://tex.z-dn.net/?f=m%20%3D%20%20%5Cfrac%7B11%20-%203%7D%7B2%20-%200%7D%20%20%5C%5C%20m%20%3D%20%20%5Cfrac%7B8%7D%7B%20-%202%7D%20%20%5Clongrightarrow%20%20%5Cfrac%7B4%7D%7B%20-%201%7D%20%20%5C%5C%20%20m%20%3D%20-%204)
Hence, the slope is -4.
<h3>
<u>Answer</u></h3>
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</u>
Hope this helps but I think there is a 1/4 or a 25% chance of somebody winning a prize.
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