Answer:
y = 16.
Step-by-step explanation:
The ratio of corresponding sides of similar triangles are the same.
The small and large triangles are similar ( - that is corresponding angles are congruent).
So 2/(2+8) = x / 20
2/10 = x/20
10x = 40
x = 4.
Therefore y = 20 -4 = 16.
Answer:
24
Step-by-step explanation:
Answer:
![Y' = (-2, 4\frac{2}{3})](https://tex.z-dn.net/?f=Y%27%20%3D%20%28-2%2C%204%5Cfrac%7B2%7D%7B3%7D%29)
Step-by-step explanation:
Given
![Y = (-3,7)](https://tex.z-dn.net/?f=Y%20%3D%20%28-3%2C7%29)
![Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)](https://tex.z-dn.net/?f=Scale%5C%20Factor%20%3D%20%28%5Cfrac%7B2%7D%7B3%7Dx%2C%5Cfrac%7B2%7D%7B3%7Dy%29)
Required
Determine Y'
Y' can be solved by multiplying the scale factor by Y
i.e.
![Y' = Scale\ Factor * Y](https://tex.z-dn.net/?f=Y%27%20%3D%20Scale%5C%20Factor%20%2A%20Y)
For, the x coordinates.
![Y' = \frac{2}{3}x](https://tex.z-dn.net/?f=Y%27%20%3D%20%5Cfrac%7B2%7D%7B3%7Dx)
Where
![x = -3](https://tex.z-dn.net/?f=x%20%3D%20-3)
![Y' = \frac{2}{3} * -3](https://tex.z-dn.net/?f=Y%27%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%2A%20-3)
![Y' = \frac{-6}{3}](https://tex.z-dn.net/?f=Y%27%20%3D%20%5Cfrac%7B-6%7D%7B3%7D)
![Y = -2](https://tex.z-dn.net/?f=Y%20%3D%20-2)
For the y coordinates:
![Y' = \frac{2}{3}y](https://tex.z-dn.net/?f=Y%27%20%3D%20%5Cfrac%7B2%7D%7B3%7Dy)
Where
![y = 7](https://tex.z-dn.net/?f=y%20%3D%207)
![Y' = \frac{2}{3} * 7](https://tex.z-dn.net/?f=Y%27%20%3D%20%5Cfrac%7B2%7D%7B3%7D%20%2A%207)
![Y' = \frac{14}{3}](https://tex.z-dn.net/?f=Y%27%20%3D%20%5Cfrac%7B14%7D%7B3%7D)
![Y' = 4\frac{2}{3}](https://tex.z-dn.net/?f=Y%27%20%3D%204%5Cfrac%7B2%7D%7B3%7D)
Hence:
![Y' = (-2, 4\frac{2}{3})](https://tex.z-dn.net/?f=Y%27%20%3D%20%28-2%2C%204%5Cfrac%7B2%7D%7B3%7D%29)
She sold it for 375 dollars
It has a constant daily growth rate of 1.5