Answer:
The length of one side of the rectangle is 99 centimeters.
Step-by-step explanation:
The reason the length is 99 centimeters is because if the total length is 376, and one width side is 89, you can use the equation (2(89)+2x=376)/2 to find the length.
Answer:
A.
![Point\ C = (2,-1)](https://tex.z-dn.net/?f=Point%5C%20C%20%3D%20%282%2C-1%29)
Step-by-step explanation:
Given
![A = (2,-6)](https://tex.z-dn.net/?f=A%20%3D%20%282%2C-6%29)
![B = (10,2)](https://tex.z-dn.net/?f=B%20%3D%20%2810%2C2%29)
![m:n = 5:3](https://tex.z-dn.net/?f=m%3An%20%3D%205%3A3)
Required
Determine the coordinates of C
Since, point D divides line AB in ratio, 5 : 3;
We start by calculating the coordinates of D;
This is done as follows;
![D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%28%5Cfrac%7Bmx_2%20%2B%20nx_1%7D%7Bm%2Bn%7D%2C%5Cfrac%7Bmy_2%20%2B%20ny_1%7D%7Bm%2Bn%7D%29)
Where
![(x_1,y_1) = (2,6)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%282%2C6%29)
![(x_2,y_2) = (10,2)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2810%2C2%29)
![m:n = 5:3](https://tex.z-dn.net/?f=m%3An%20%3D%205%3A3)
![D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%28%5Cfrac%7B5%20%2A%2010%20%2B%203%20%2A%202%7D%7B5%2B3%7D%2C%5Cfrac%7B5%20%2A%202%20%2B%203%20%2A%20-6%7D%7B5%2B3%7D%29)
![D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%28%5Cfrac%7B50%20%2B%206%7D%7B8%7D%2C%5Cfrac%7B10%20-%2018%7D%7B8%7D%29)
![D(x,y) = (\frac{56}{8},\frac{-8}{8})](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%28%5Cfrac%7B56%7D%7B8%7D%2C%5Cfrac%7B-8%7D%7B8%7D%29)
![D(x,y) = (7},-1)](https://tex.z-dn.net/?f=D%28x%2Cy%29%20%3D%20%287%7D%2C-1%29)
<em />
<em>Since AC is vertical</em>
<em>Then, Point C has the same x coordinate as A</em>
<em />
<em />
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<em>Similarly;</em>
<em>Since CD is horizontal</em>
<em>Then, Point C has the same y coordinate as D</em>
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<em />
<em />
Hence,
![Point\ C = (2,-1)](https://tex.z-dn.net/?f=Point%5C%20C%20%3D%20%282%2C-1%29)
Your answer would be 32. You add 23 + 9 and you get 32.
So your fraction is 4/10, because it's not over a whole, so it can't be a mixed number.
The decimal is 0.4,because 4/10 has a 4 as the numerator, and the denminator is 10, so 4/10 and 0.4
Glad I could help, and good luck :)