4x + 2x = < y
This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).
We have to find X.
As you know:
![3x + 4x + 2x = 180](https://tex.z-dn.net/?f=3x%20%2B%204x%20%2B%202x%20%3D%20180)
because the angles of a triangle add up to 180.
When we add them:
![9x = 180](https://tex.z-dn.net/?f=9x%20%3D%20180)
![x = \frac{180}{9}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B180%7D%7B9%7D%20)
The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-
![x = 20](https://tex.z-dn.net/?f=x%20%3D%2020)
Substitute value of x into 4x and 2x to find the exterior angle:-
4x:
![4(20) = 80](https://tex.z-dn.net/?f=4%2820%29%20%3D%2080)
2x:
![2(20) = 40](https://tex.z-dn.net/?f=2%2820%29%20%3D%2040)
When we add them we get the answer for angle Y:-
![80 + 40 = 120](https://tex.z-dn.net/?f=80%20%2B%2040%20%3D%20120)
Therefore, we can conclude that:
![< y = 120 \: degrees](https://tex.z-dn.net/?f=%20%3C%20y%20%3D%20120%20%5C%3A%20degrees)
Answer:
.........................
Step-by-step explanation:
h what's the question
We are given equation: y=ln(x) .
And translation is 5 units down.
We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.
For the given translation 5 unit down, 5 should be less than 0.
Number less than 0 are negative numbers.
So, we need to add -5 in the given function to ln(x).
So, we would get the final equation for five units down as
y =ln(x) - 5.
You can not "solve" this, so to speak, rather simplify this expression. Take the "2" and multiply that by the "a" and the "3" in the parentheses. You will then have the simplified answer of: 2a times 6.
Hope that helps!