Answer:
The answer just so happens to be 6!
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have:
![\left(\dfrac{2}{3},\ \dfrac{4}{7}\right)\to x_1=\dfrac{2}{3},\ y_1=\dfrac{4}{7}\\\\\left(\dfrac{2}{3},\ \dfrac{11}{7}\right)\to x_2=\dfrac{2}{3},\ y_2=\dfrac{11}{7}](https://tex.z-dn.net/?f=%5Cleft%28%5Cdfrac%7B2%7D%7B3%7D%2C%5C%20%5Cdfrac%7B4%7D%7B7%7D%5Cright%29%5Cto%20x_1%3D%5Cdfrac%7B2%7D%7B3%7D%2C%5C%20y_1%3D%5Cdfrac%7B4%7D%7B7%7D%5C%5C%5C%5C%5Cleft%28%5Cdfrac%7B2%7D%7B3%7D%2C%5C%20%5Cdfrac%7B11%7D%7B7%7D%5Cright%29%5Cto%20x_2%3D%5Cdfrac%7B2%7D%7B3%7D%2C%5C%20y_2%3D%5Cdfrac%7B11%7D%7B7%7D)
Substitute
![m=\dfrac{\dfrac{11}{7}-\dfrac{4}{7}}{\dfrac{2}{3}-\dfrac{2}{3}}=\dfrac{\dfrac{7}{7}}{0}\qquad\boxed{!!!!}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B%5Cdfrac%7B11%7D%7B7%7D-%5Cdfrac%7B4%7D%7B7%7D%7D%7B%5Cdfrac%7B2%7D%7B3%7D-%5Cdfrac%7B2%7D%7B3%7D%7D%3D%5Cdfrac%7B%5Cdfrac%7B7%7D%7B7%7D%7D%7B0%7D%5Cqquad%5Cboxed%7B%21%21%21%21%7D)
Answer: The slope is not defined.
The correct answer is 87 and 89.
Answer:
<em>Explanation below</em>
Step-by-step explanation:
<u>Angles in a Triangle</u>
There are two basic relations of angles we need to recall:
- Supplementary angles add up to 180°
- Internal angles of a triangle add up to 180°
Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:
c = 180 - ( a + b )
Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus
c = 180 - d
From the two relations above, it follows that:
a + b = d