Step-by-step explanation:
42+5x+7x+6=180 (sum of angles in straight line is 180)
- 48+12x=180
- 12x=180-48
- 12x=132
- x=132/12
- x=11
now m <CBE =7x+6=7×11+6=77+6=83
Add 4G to each side
9G = 45
Divide each side by 9
G = 5
Answer:11:10
Step-by-step explanation:
7 hours plus 3 hours is 10
And 40 mins plus 30 is 1 hour 10 mins
10 plus 1 hour and 10 mins is 11 hours and 10 mins
Answer:
![\huge\boxed{y=4x-7}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7By%3D4x-7%7D)
Step-by-step explanation:
Linear equations will always be in the form
, where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (
), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a
change.
The x value goes from 2 to 6, which is a
change.
Now that we know both changes, we can divide the change in y by the change in x.
![\frac{16}{4}=4](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B4%7D%3D4)
Now that we know the slope (4), we can plug it into our equation (
).
![y=4x+b](https://tex.z-dn.net/?f=y%3D4x%2Bb)
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
![y=4x-7](https://tex.z-dn.net/?f=y%3D4x-7)
Hope this helped!