C X=6
36\6= 6 that is why.
Triangles ABC and CDE and similar with ABC being dilated larger. This means we can use ratios to help solve for x, and then solve fo AC.
![\frac{84}{156-x} = \frac{7}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B84%7D%7B156-x%7D%20%3D%20%20%5Cfrac%7B7%7D%7Bx%7D)
![\frac{84x}{156-x} = 7](https://tex.z-dn.net/?f=%5Cfrac%7B84x%7D%7B156-x%7D%20%3D%207)
![84x = 7(156 - x)](https://tex.z-dn.net/?f=84x%20%3D%207%28156%20-%20x%29)
![84x = 1092 - 7x](https://tex.z-dn.net/?f=84x%20%3D%201092%20-%207x)
![91x = 1092](https://tex.z-dn.net/?f=91x%20%3D%201092)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
So, from this problem we now know that x is equal to 12. We merely need to plug that into what is given for AC and solve for AC.
AC = 156 - 12
AC = 144
Therefore, A is equal to 144.
Answer:
2,800 CUV cars were sold
Step-by-step explanation:
7 out of 10 are CUV
Total sold are 4,000
Set them equal to each other:
![\frac{7}{10} = \frac{x}{4000}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D%20%20%3D%20%5Cfrac%7Bx%7D%7B4000%7D)
Cross multiply:
![7 * 4,000 = 10*x](https://tex.z-dn.net/?f=7%20%2A%204%2C000%20%3D%2010%2Ax)
![28,000=10x](https://tex.z-dn.net/?f=28%2C000%3D10x)
Solve for x:
![\frac{10x}{10} =\frac{28,000}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B10x%7D%7B10%7D%20%3D%5Cfrac%7B28%2C000%7D%7B10%7D)
x = 2,800
Here is something to keep in mind.
when there is a downward slope, the slope will ALWAYS have a negative slope. even if it is above the x-axis. negative slopes will tend to go from positive y-axis to negative y-axis
so personally would have to go with -4
because the x-axis is by 4 each time. and this slope is going downward.
your answer will be D