Answer:
1 I think
Step-by-step explanation:
1 has the most spots on the spinner
f(x)= -99.4x + 198.8
f(1) = -99.4*1 + 198.8 = 99.4
f(2) = -99.4*2 + 198.8 = 0
f(3) = -99.4*3 + 198.8 = -99.4
<span>f(4) = -99.4*4 + 198.8 = -198.8
</span>
I am guessing the answer is both
x=-0.834252 or x=0.134252
Answer:
D
Step-by-step explanation:
The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.
First find the measure of the angles in the triangle.
The sum of the 3 angles = 180° then
5x + 40 + 10x + 7x + 8 = 180
22x + 48 = 180 ( subtract 48 from both sides )
22x = 132 ( divide both sides by 22 )
x = 6
Then
∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°
∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°
∠ C = 10x = 10(6) = 60°
The shortest side is opposite ∠ A , that is BC
The longest side is opposite ∠ B , that is AC
The sides in order from shortest to longest are
BC, AB, AC → D
The sum of the interior triangles in a triangle is 180, so if we add all the angle measures together, we should get 180. Therefore, we can make an equation like this,
![110-2x+x+50+5x-40=180](https://tex.z-dn.net/?f=110-2x%2Bx%2B50%2B5x-40%3D180)
Simplify this.
![4x+120=180](https://tex.z-dn.net/?f=4x%2B120%3D180)
![4x=60](https://tex.z-dn.net/?f=4x%3D60)
![x=15](https://tex.z-dn.net/?f=x%3D15)
Now we can find each angle measure.
![110-2x](https://tex.z-dn.net/?f=110-2x)
![110-2(15)](https://tex.z-dn.net/?f=110-2%2815%29)
![110-30](https://tex.z-dn.net/?f=110-30)
![80](https://tex.z-dn.net/?f=80)
![x+50](https://tex.z-dn.net/?f=x%2B50)
![15+50](https://tex.z-dn.net/?f=15%2B50)
![65](https://tex.z-dn.net/?f=65)
![5x-40](https://tex.z-dn.net/?f=5x-40)
![5(15)-40](https://tex.z-dn.net/?f=5%2815%29-40)
![75-40](https://tex.z-dn.net/?f=75-40)
![35](https://tex.z-dn.net/?f=35)
So the angle labeled
is the largest angle in the triangle.