You can find the value of x using the trigonometric function of cosine.
cos x = adj/hyp
cos 49 = x/55
55(cos 49) = x
36.083 = x
Hope I am right :)
The outside arcs for a circle enveloping a triangle will always equal 360.
Set up an equation that has all arcs equal 360:
![(3x + 30) + (5x + 10) + (2x + 20) = 360](https://tex.z-dn.net/?f=%283x%20%2B%2030%29%20%2B%20%285x%20%2B%2010%29%20%2B%20%282x%20%2B%2020%29%20%3D%20360)
Combine like terms:
![3x + 5x + 2x = 10x](https://tex.z-dn.net/?f=3x%20%2B%205x%20%2B%202x%20%3D%2010x)
![30 + 10 + 20 = 60](https://tex.z-dn.net/?f=30%20%2B%2010%20%2B%2020%20%3D%2060)
![10x + 60 = 360](https://tex.z-dn.net/?f=10x%20%2B%2060%20%3D%20360)
Subtract 60 from both sides:
![10x = 300](https://tex.z-dn.net/?f=10x%20%3D%20300)
Divide both sides by 10 to get x by itself:
![x = 30](https://tex.z-dn.net/?f=x%20%3D%2030)
We can now find the values of the arcs:
![3(30) + 30 = 90 + 30 = 120](https://tex.z-dn.net/?f=3%2830%29%20%2B%2030%20%3D%2090%20%2B%2030%20%3D%20120)
![5(30) + 10 = 150 + 10 = 160](https://tex.z-dn.net/?f=5%2830%29%20%2B%2010%20%3D%20150%20%2B%2010%20%3D%20160)
![2(30) + 20 = 60 + 20 = 80](https://tex.z-dn.net/?f=2%2830%29%20%2B%2020%20%3D%2060%20%2B%2020%20%3D%2080)
All three arc lengths are different, which means that the triangle's side lengths are all different. This makes the triangle a
scalene triangle.
Answer:
![y-3=-\frac{3}{8} (x+2)](https://tex.z-dn.net/?f=y-3%3D-%5Cfrac%7B3%7D%7B8%7D%20%28x%2B2%29)
Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation. We will chose point-slope since we have a point and slope.
Point slope:![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
in our new equation because it is perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.
![y-3=-\frac{3}{8} (x-(-2))](https://tex.z-dn.net/?f=y-3%3D-%5Cfrac%7B3%7D%7B8%7D%20%28x-%28-2%29%29)
![y-3=-\frac{3}{8} (x+2)](https://tex.z-dn.net/?f=y-3%3D-%5Cfrac%7B3%7D%7B8%7D%20%28x%2B2%29)
This is the equation of the line perpendicular to the equation given that crosses through (-2,3).
6% of $22 = 1.32
22 + 1.32 = 23.32 (cost of meal with tax)
20% of 23.32 = 4.66
23.32 + 4.66 = 27.98
Total cost = $27.98