Taking the slope about different points, we have
![m_{1} = \frac{ y_{2}- y_{1} }{x_{2}- x_{1}} = \frac{100-63}{18-12} = \frac{37}{6} =6 \frac{1}{6} \\ m_{2} = \frac{ y_{2}- y_{1} }{x_{2}- x_{1}} = \frac{30-88}{8-16} = \frac{-58}{-8} =7 \frac{1}{4}](https://tex.z-dn.net/?f=%20m_%7B1%7D%20%3D%20%5Cfrac%7B%20y_%7B2%7D-%20%20y_%7B1%7D%20%7D%7Bx_%7B2%7D-%20%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B100-63%7D%7B18-12%7D%20%3D%20%5Cfrac%7B37%7D%7B6%7D%20%3D6%20%5Cfrac%7B1%7D%7B6%7D%20%20%5C%5C%20m_%7B2%7D%20%3D%20%5Cfrac%7B%20y_%7B2%7D-%20%20y_%7B1%7D%20%7D%7Bx_%7B2%7D-%20%20x_%7B1%7D%7D%20%3D%20%5Cfrac%7B30-88%7D%7B8-16%7D%20%3D%20%5Cfrac%7B-58%7D%7B-8%7D%20%3D7%20%5Cfrac%7B1%7D%7B4%7D%20)
The slopes are positive but are not equal, which means that that the association is positive non linear association.
Answer:
The measures of the intercepts arcs are
and ![122\°](https://tex.z-dn.net/?f=122%5C%C2%B0)
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
Let
x,y -----> the intercepts arcs
----> equation A
![32\°=\frac{1}{2}(x-y)](https://tex.z-dn.net/?f=32%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%28x-y%29)
![64\°=(x-y)](https://tex.z-dn.net/?f=64%5C%C2%B0%3D%28x-y%29)
------> equation B
substitute equation B in equation A
![(64\°+y)+y=180\°](https://tex.z-dn.net/?f=%2864%5C%C2%B0%2By%29%2By%3D180%5C%C2%B0)
![64\°+2y=180\°](https://tex.z-dn.net/?f=64%5C%C2%B0%2B2y%3D180%5C%C2%B0)
![2y=180\°-64\°](https://tex.z-dn.net/?f=2y%3D180%5C%C2%B0-64%5C%C2%B0)
![y=116\°/2=58\°](https://tex.z-dn.net/?f=y%3D116%5C%C2%B0%2F2%3D58%5C%C2%B0)
Find the value of x
![x=64\°+58\°=122\°](https://tex.z-dn.net/?f=x%3D64%5C%C2%B0%2B58%5C%C2%B0%3D122%5C%C2%B0)
therefore
The measures of the intercepts arcs are
and ![122\°](https://tex.z-dn.net/?f=122%5C%C2%B0)
(6 - 3)/(-1 +4)= 3/3= 1 is the slope
y - 3 = x + 4
y = x + 7
Answer:
Area = 78.5
5 goes inside of the question mark box.
Step-by-step explanation:
π5²
5² = 25
3.14*25=78.5