This answer is 58 because that angle is 90 an 99+22=112 180-112=58
Answer:
I can help as well
Step-by-step explanation:
Answer:
24.291667 ft
Step-by-step explanation:
Answer:
Therefore, the coordinates of the centroid of a triangle is
![G(x,y)=(2,1)](https://tex.z-dn.net/?f=G%28x%2Cy%29%3D%282%2C1%29)
Step-by-step explanation:
Given:
Let,
point A( x₁ , y₁) ≡ ( 3, 3)
point B( x₂ , y₂) ≡ (5 , -1)
point C( x₃ , y₃) ≡ (-2 , 1)
To Find:
Centroid, G (x,y) = ? (say)
Solution:
Centroid:
Centroid is a point where all the three medians of the triangle intersect.
It is denoted as G and the coordinates are give by
![G(x,y)=(\dfrac{x_{1}+x_{2}+x_{3}}{3},\dfrac{y_{1}+y_{2}+y_{3}}{3})](https://tex.z-dn.net/?f=G%28x%2Cy%29%3D%28%5Cdfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%2Bx_%7B3%7D%7D%7B3%7D%2C%5Cdfrac%7By_%7B1%7D%2By_%7B2%7D%2By_%7B3%7D%7D%7B3%7D%29)
Substituting the values we get
![G(x,y)=(\dfrac{3+5+-2}{3},\dfrac{3+-1+1}{3})](https://tex.z-dn.net/?f=G%28x%2Cy%29%3D%28%5Cdfrac%7B3%2B5%2B-2%7D%7B3%7D%2C%5Cdfrac%7B3%2B-1%2B1%7D%7B3%7D%29)
![G(x,y)=(\dfrac{6}{3},\dfrac{3}{3})=(2,1)](https://tex.z-dn.net/?f=G%28x%2Cy%29%3D%28%5Cdfrac%7B6%7D%7B3%7D%2C%5Cdfrac%7B3%7D%7B3%7D%29%3D%282%2C1%29)
Therefore, the coordinates of the centroid of a triangle is
![G(x,y)=(2,1)](https://tex.z-dn.net/?f=G%28x%2Cy%29%3D%282%2C1%29)
Answer:
1
Step-by-step explanation:
![\frac{2}{3} * \frac{3}{2} = \frac{6}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%2A%20%5Cfrac%7B3%7D%7B2%7D%20%3D%20%5Cfrac%7B6%7D%7B6%7D)
![=\frac{1}{1}=1](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B1%7D%3D1)
This shows how to multiply fractions. When you multiply fractions, you just multiply across, and then simplify.