Answer:
Given the graph
and ![g(x) = \frac{1}{3}x + 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx%20%2B%203)
We have to find the value of k;
Since, g(x) = f(x) +k
![\frac{1}{3}x+3 = \frac{1}{3}x-2 +k](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%2B3%20%3D%20%5Cfrac%7B1%7D%7B3%7Dx-2%20%2Bk)
Subtract
from both sides we get;
![3 = -2 +k](https://tex.z-dn.net/?f=3%20%3D%20-2%20%2Bk)
Add 2 to both sides we get;
![3+2 = -2 +k +2](https://tex.z-dn.net/?f=3%2B2%20%3D%20-2%20%2Bk%20%2B2)
Simplify:
![5 = k](https://tex.z-dn.net/?f=5%20%3D%20k)
or
k = 5
Therefore, the value of k = 5
Answer:
75°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let x be the sixth angle, then sum and equate to 720°
150 + 100 + 80 + 165 + 150 + x = 720
645 + x = 720 ( subtract 645 from both sides )
x = 75
The sixth interior angle is 75°
Step 1: set equations equal to eachother
2x+2=x-1
which equals to x=-3
so the answer is one.