Answer:
YVX the triangles are similar by angle-angle.
Step-by-step explanation:
Answer:
The sales tax on a 320 dollars purchase is of $29.6.
Step-by-step explanation:
State sales tax y is directly proportional to retail price x.
This means that:
![y = cx](https://tex.z-dn.net/?f=y%20%3D%20cx)
In which c is the constant of proportionality.
An item that sells for 156 dollars has a sales tax of 14.42 dollars.
This means that
. We use this to find c. So
![y = cx](https://tex.z-dn.net/?f=y%20%3D%20cx)
![14.42 = 156c](https://tex.z-dn.net/?f=14.42%20%3D%20156c)
![c = \frac{14.42}{156}](https://tex.z-dn.net/?f=c%20%3D%20%5Cfrac%7B14.42%7D%7B156%7D)
![c = 0.0924](https://tex.z-dn.net/?f=c%20%3D%200.0924)
Then
![y = 0.0924x](https://tex.z-dn.net/?f=y%20%3D%200.0924x)
What is the sales tax on a 320 dollars purchase?
y when
. So
![y = 0.0924(320) = 29.6](https://tex.z-dn.net/?f=y%20%3D%200.0924%28320%29%20%3D%2029.6)
The sales tax on a 320 dollars purchase is of $29.6.
hmmm taking a peek at the triangles inside the park, hmmm let's notice both triangles have all interior angles of 60°, meaning the triangles are equilateral both, so all sides are equal, since we know one side is 50 yards, well, all sides are 50 yards, so the top and bottom straight-lines are both 50 each.
looking at the left and right sides, hmmm those are just sectors of a circle, both have a radius of 50 yards and a central angle of 120°.
![\textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=50\\ \theta =120 \end{cases}\qquad \implies s=\cfrac{(120)\pi (50)}{180}\implies s=\cfrac{100\pi }{3} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{straight~lines}{2(50)}~~ + ~~\stackrel{circular~lines}{2\left( \cfrac{100\pi }{3} \right)}\implies 100+2\left( \cfrac{100(3.14) }{3} \right)~~\approx~~309~yards](https://tex.z-dn.net/?f=%5Ctextit%7Barc%27s%20length%7D%5C%5C%5C%5C%20s%3D%5Ccfrac%7B%5Ctheta%20%5Cpi%20r%7D%7B180%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%20%5Ctheta%20%3D%5Cstackrel%7Bdegrees%7D%7Bangle%7D%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D50%5C%5C%20%5Ctheta%20%3D120%20%5Cend%7Bcases%7D%5Cqquad%20%5Cimplies%20s%3D%5Ccfrac%7B%28120%29%5Cpi%20%2850%29%7D%7B180%7D%5Cimplies%20s%3D%5Ccfrac%7B100%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cstackrel%7Bstraight~lines%7D%7B2%2850%29%7D~~%20%2B%20~~%5Cstackrel%7Bcircular~lines%7D%7B2%5Cleft%28%20%5Ccfrac%7B100%5Cpi%20%7D%7B3%7D%20%5Cright%29%7D%5Cimplies%20100%2B2%5Cleft%28%20%5Ccfrac%7B100%283.14%29%20%7D%7B3%7D%20%5Cright%29~~%5Capprox~~309~yards)
When x = 1, y = 2
The equation that would go with this graph would be: y = 2x + 0
You need to move your contents e.I. 3,4,5 and your variables e.I.2x, 5y, 2z first