Given that the sum of the three interior angles of a triangle is equal to 180°, we can formulate the following equation:
2x + 1 + 2x + 93 = 180
4x + 94 = 180 (Adding like terms)
4x = 180 - 94 (Subtracting 94 from both sides of the equation)
4x = 86
x= 86/4 (Dividing by 4 on both sides of the equation)
x= 21.5
Replacing in the angles we have:
Angle 2x + 1 ---> 2(21.5) + 1= 44
Angle 2x ---> 2(21.5) = 43
The angles of the triangle are 43, 44 and 93.
Answer:
1. (n) 2. (r)
Step-by-step explanation
interest compounded per year is (n),
annual interest rate is (r).
What is the solution to 3 + 4e^x+1 = 11?
Solution:
![3+4e^{x+1}=11](https://tex.z-dn.net/?f=3%2B4e%5E%7Bx%2B1%7D%3D11)
To solve for x, Let us subtract 3 from both sides
![3+4e^{x+1}-3=11-3](https://tex.z-dn.net/?f=3%2B4e%5E%7Bx%2B1%7D-3%3D11-3)
![0+4e^{x+1}=8](https://tex.z-dn.net/?f=0%2B4e%5E%7Bx%2B1%7D%3D8)
![4e^{x+1}=8](https://tex.z-dn.net/?f=4e%5E%7Bx%2B1%7D%3D8)
Let us divide by 4 on both sides
![\frac{4e^{x+1}}{4} =\frac{8}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4e%5E%7Bx%2B1%7D%7D%7B4%7D%20%3D%5Cfrac%7B8%7D%7B4%7D)
![\frac{1e^{x+1}}{1} =\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1e%5E%7Bx%2B1%7D%7D%7B1%7D%20%3D%5Cfrac%7B2%7D%7B1%7D)
![e^{x+1} =2](https://tex.z-dn.net/?f=e%5E%7Bx%2B1%7D%20%3D2)
Let us take ln on both sides
![ln (e^{x+1}) =ln(2)](https://tex.z-dn.net/?f=ln%20%28e%5E%7Bx%2B1%7D%29%20%3Dln%282%29)
So, x+1=ln(2)
To solve for x, Let us subtract 1 from both sides
x+1-1=ln(2) -1
x+0=ln(2)-1
x= ln(2) -1
Answer: Option (A)
x=ln(2)-1
Answer:
You sure this under math catagory?
Step-by-step explanation: