Answer:
![y-6 = -\frac{1}{2} (x+1)](https://tex.z-dn.net/?f=%20y-6%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%28x%2B1%29)
Step-by-step explanation:
For this case we have two points given (-1,6) and (1,5)
And we want to complete the point slope equation of the line:
![y-6 = m(x-x_o)](https://tex.z-dn.net/?f=%20y-6%20%3D%20m%28x-x_o%29%20)
We need to find the slope and we can use the following formula:
![m = \frac{y_2 -y_1}{x_2 -x_1}](https://tex.z-dn.net/?f=%20m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-x_1%7D)
And replacing the info we got:
![m= \frac{5-6}{1-(-1)}=-\frac{1}{2}](https://tex.z-dn.net/?f=%20m%3D%20%5Cfrac%7B5-6%7D%7B1-%28-1%29%7D%3D-%5Cfrac%7B1%7D%7B2%7D)
And then the equation would be given by:
![y-6 = -\frac{1}{2} (x- (-1))](https://tex.z-dn.net/?f=%20y-6%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%28x-%20%28-1%29%29)
And our final answer would be:
![y-6 = -\frac{1}{2} (x+1)](https://tex.z-dn.net/?f=%20y-6%20%3D%20-%5Cfrac%7B1%7D%7B2%7D%20%28x%2B1%29)
90+30=120
180-120=60
The measurement for angle G is 60 degrees.
And for angle J is the same as 90+30 which equals 120 degrees.
we have been asked to find the sum of the given geometric series
![\sum _{n=1}^4\left(\frac{1}{2}\right)^{n+1}](https://tex.z-dn.net/?f=%20%5Csum%20_%7Bn%3D1%7D%5E4%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7Bn%2B1%7D%20%20)
A geometric sequence has a constant ratio "r" and is given by
![r=\frac{a_{n+1}}{a_n}](https://tex.z-dn.net/?f=%20r%3D%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_n%7D%20)
![a_n=\left(\frac{1}{2}\right)^{n+1},\:a_{n+1}=\left(\frac{1}{2}\right)^{\left(n+1\right)+1}](https://tex.z-dn.net/?f=%20a_n%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7Bn%2B1%7D%2C%5C%3Aa_%7Bn%2B1%7D%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7B%5Cleft%28n%2B1%5Cright%29%2B1%7D%20)
![r=\frac{\left(\frac{1}{2}\right)^{\left(n+1\right)+1}}{\left(\frac{1}{2}\right)^{n+1}}=\frac{1}{2}](https://tex.z-dn.net/?f=%20r%3D%5Cfrac%7B%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7B%5Cleft%28n%2B1%5Cright%29%2B1%7D%7D%7B%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7Bn%2B1%7D%7D%3D%5Cfrac%7B1%7D%7B2%7D%20)
The first term of the sequence is
![a_1=\left(\frac{1}{2}\right)^{1+1}=\frac{1}{4}](https://tex.z-dn.net/?f=%20a_1%3D%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E%7B1%2B1%7D%3D%5Cfrac%7B1%7D%7B4%7D%20)
Sum of the sequence is given by the formula
![S_n=a_1\frac{1-r^n}{1-r}](https://tex.z-dn.net/?f=%20S_n%3Da_1%5Cfrac%7B1-r%5En%7D%7B1-r%7D%20)
Plug in the values we get
![S_4=\frac{1}{4}\cdot \frac{1-\left(\frac{1}{2}\right)^4}{1-\frac{1}{2}}](https://tex.z-dn.net/?f=%20S_4%3D%5Cfrac%7B1%7D%7B4%7D%5Ccdot%20%5Cfrac%7B1-%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E4%7D%7B1-%5Cfrac%7B1%7D%7B2%7D%7D%20)
On simplification we get
![S_4=\frac{15}{32}](https://tex.z-dn.net/?f=%20S_4%3D%5Cfrac%7B15%7D%7B32%7D%20)
Hence sum![=\frac{15}{32}](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B15%7D%7B32%7D%20)
Answer:
More than half I think its based off of a 1-10% scale
Step-by-step explanation:
it's greater than 5%
The way you say this is one hundred nineteen ten thousandths if this helps mark brainiest