Answer:
In the two different ways we have solved the given equation as ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Step-by-step explanation:
Given expression is ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
To simplify the given expression in two ways:
First way:
Given ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{6x+12}{3}=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B6x%2B12%7D%7B3%7D%3D4x%2B3)
Multiplying 3 on both sides
![3\times (\frac{6x+12}{3})=3\times (4x+3)](https://tex.z-dn.net/?f=3%5Ctimes%20%28%5Cfrac%7B6x%2B12%7D%7B3%7D%29%3D3%5Ctimes%20%284x%2B3%29)
![6x+12=12x+9](https://tex.z-dn.net/?f=6x%2B12%3D12x%2B9)
(adding the like terms)
![-6x+3=0](https://tex.z-dn.net/?f=-6x%2B3%3D0)
![3(-2x+1)=0](https://tex.z-dn.net/?f=3%28-2x%2B1%29%3D0)
Dividing by 3 on both sides
![3(-2x+1)\times \frac{1}3}=0\times \frac{1}3}](https://tex.z-dn.net/?f=3%28-2x%2B1%29%5Ctimes%20%5Cfrac%7B1%7D3%7D%3D0%5Ctimes%20%5Cfrac%7B1%7D3%7D)
![(-2x+1)=0](https://tex.z-dn.net/?f=%28-2x%2B1%29%3D0)
![-(2x-1)=0](https://tex.z-dn.net/?f=-%282x-1%29%3D0)
![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore the given expression is solved that ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Another way:
Given ![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![\frac{2}{3}(3x+6)=4x+3](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%283x%2B6%29%3D4x%2B3)
![2(\frac{3x}{3}+\frac{6}{3})=4x+3](https://tex.z-dn.net/?f=2%28%5Cfrac%7B3x%7D%7B3%7D%2B%5Cfrac%7B6%7D%7B3%7D%29%3D4x%2B3)
![2(x+2)=4x+3](https://tex.z-dn.net/?f=2%28x%2B2%29%3D4x%2B3)
![2x+4=4x+3](https://tex.z-dn.net/?f=2x%2B4%3D4x%2B3)
(adding the like terms)
![2x-1=0](https://tex.z-dn.net/?f=2x-1%3D0)
![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Therefore the given expression is solved that ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
In the two different ways we have solved the given equation as ![x=\frac{1}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1%7D%7B2%7D)
Answer:
Answer Expert Verified
The central angle O is a complete angle, so its measure is 360°. It is divided into 5 equal parts, so each of them has a measure of 360°/5=72°
Half one is 1/2;
half three is 3/2;
Thus, if f(x) represents annual growth, f(x)/2 shows it every half-year, like this:
![\dfrac{f(x)}{2} = \dfrac{15\cdot 2^x}{2} \\ \\ \dfrac{f(x)}{2} = \dfrac{15}{2}\cdot 2^x](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x%29%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%5Ccdot%202%5Ex%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%0A%5Cdfrac%7Bf%28x%29%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%7D%7B2%7D%5Ccdot%202%5Ex)
Written in plain text: f(x)=15/2*2^x
Answer:
B. 95 degrees
Step-by-step explanation:
first workout the vertically opposite angles;
subtract 121 from 180 to get the other pair of vertically opposite angles.
= 59
do the same for 144 to get = 36
59 and 36 make the interior angles of the triangle. find the third one by adding the two to get 95, then subtracting from 180 to get 85.
since angles on a straight line add up to 180 degrees , subtract 85 from 180 to get 95 as your answer.
hope you understand it welll
Answer:
you can do it bubu amp tanga