A. Octagon Explanation: Hence,a regular polygon that has minimum rotation of 45 degrees to carry the polygon onto itself is A.octagon
Answer:
544 units^2
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
K(-4,8) is the ortho center.
Step-by-step explanation:
In a right angled triangle, The vertex of the right angle is the ortho center.
Here we are given
J(-4,-1), K(-4,8) & L(2,8)
Using distance formula we get
![JK^{2}= (-4+4)^{2}+ (8+1)^{2}=0+81=81](https://tex.z-dn.net/?f=JK%5E%7B2%7D%3D%20%28-4%2B4%29%5E%7B2%7D%2B%20%288%2B1%29%5E%7B2%7D%3D0%2B81%3D81)
![KL^{2}= (-4-2)^{2}+ (8+-8)^{2}=36+0=36](https://tex.z-dn.net/?f=KL%5E%7B2%7D%3D%20%28-4-2%29%5E%7B2%7D%2B%20%288%2B-8%29%5E%7B2%7D%3D36%2B0%3D36)
![JL^{2}= (-4-2)^{2}+ (8+1)^{2}=36+81=117](https://tex.z-dn.net/?f=JL%5E%7B2%7D%3D%20%28-4-2%29%5E%7B2%7D%2B%20%288%2B1%29%5E%7B2%7D%3D36%2B81%3D117)
So we can say that
![JK^2 + KL^2=JL^2](https://tex.z-dn.net/?f=JK%5E2%20%2B%20KL%5E2%3DJL%5E2)
By converse of pythagorean theorem we get
![](https://tex.z-dn.net/?f=%3CK%20%3D%2090%C2%B0)
Hence the Vertex of the right angle is K(-4,8)
K(-4,8) is the ortho center.
Answer:
0.53 will not chosen
Step-by-step explanation:
Given weights:
0.58, 0.63, 0.65, 0.53, and 0.61.
Computation:
Mean weight X = [0.58+0.63+0.65+0.53+0.61] / 5
Mean weight X = [3] / 5
Mean weight X = 0.60
Acceptable weight = l x-X l < 0.06
l x-0.60 l < 0.06
So solving inequality
0.54 < x < 0.66
So, 0.53 will not chosen.
Answer: a
Step-by-step explanation: Just trust me