The missing coordinates of the parallelogram is (m + h, n).
Solution:
Given shape is a parallelogram.
Construction: Draw a line joining the diagonals.
<em>In parallelogram, diagonals bisect each other.</em>
Solve it using mid-point formula:
![$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )](https://tex.z-dn.net/?f=%24%5Ctext%7BMidpoint%7D%20%3D%5Cleft%28%20%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%5Cright%20%20%29)
Here ![x_1=m, y_1=n, x_2=h, y_2=0](https://tex.z-dn.net/?f=x_1%3Dm%2C%20y_1%3Dn%2C%20x_2%3Dh%2C%20y_2%3D0)
![$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n+0}{2}\right )](https://tex.z-dn.net/?f=%24%5Ctext%7BMidpoint%7D%20%3D%5Cleft%28%20%5Cfrac%7Bm%2Bh%7D%7B2%7D%2C%20%5Cfrac%7Bn%2B0%7D%7B2%7D%5Cright%20%20%29)
![$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )](https://tex.z-dn.net/?f=%24%5Ctext%7BMidpoint%7D%20%3D%5Cleft%28%20%5Cfrac%7Bm%2Bh%7D%7B2%7D%2C%20%5Cfrac%7Bn%7D%7B2%7D%5Cright%20%20%29)
Using this midpoint find the missing coordinate.
![$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )](https://tex.z-dn.net/?f=%24%5Ctext%7BMidpoint%7D%20%3D%5Cleft%28%20%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%2C%20%5Cfrac%7By_1%2By_2%7D%7B2%7D%5Cright%20%20%29)
Let the missing coordinates by x and y.
Here ![x_1=0, y_1=0, x_2=x, y_2=y](https://tex.z-dn.net/?f=x_1%3D0%2C%20y_1%3D0%2C%20x_2%3Dx%2C%20%20y_2%3Dy)
![$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )](https://tex.z-dn.net/?f=%24%5Ctext%7BMidpoint%7D%3D%5Cleft%28%20%5Cfrac%7B0%2Bx%7D%7B2%7D%2C%20%5Cfrac%7B0%2By%7D%7B2%7D%5Cright%20%20%29)
![$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )](https://tex.z-dn.net/?f=%24%5Cleft%28%20%5Cfrac%7Bm%2Bh%7D%7B2%7D%2C%20%5Cfrac%7Bn%7D%7B2%7D%5Cright%20%20%29%3D%5Cleft%28%20%5Cfrac%7B0%2Bx%7D%7B2%7D%2C%20%5Cfrac%7B0%2By%7D%7B2%7D%5Cright%20%20%29)
![$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )](https://tex.z-dn.net/?f=%24%5Cleft%28%20%5Cfrac%7Bm%2Bh%7D%7B2%7D%2C%20%5Cfrac%7Bn%7D%7B2%7D%5Cright%20%20%29%3D%5Cleft%28%20%5Cfrac%7Bx%7D%7B2%7D%2C%20%5Cfrac%7By%7D%7B2%7D%5Cright%20%20%29)
Now equate the x-coordinates and y-coordinates.
![$ \frac{m+h}{2}=\frac{x}{2}, \ \ \ \frac{n}{2} = \frac{y}{2}](https://tex.z-dn.net/?f=%24%20%5Cfrac%7Bm%2Bh%7D%7B2%7D%3D%5Cfrac%7Bx%7D%7B2%7D%2C%20%5C%20%20%5C%20%20%5C%20%20%5Cfrac%7Bn%7D%7B2%7D%20%3D%20%20%5Cfrac%7By%7D%7B2%7D)
Multiply by 2 on both sides of the equation, we get
m + h = x, n = y
x = m + h and y = n
Hence the missing coordinates of the parallelogram is (m + h, n).
Answer: What is the balanced equation for so2 O2 SO3?
2SO2 + O2 → 2SO3.
Step-by-step explanation:
Answer:wanna hang
Step-by-step explanation:
59. 1.8 times 15 is 27, add 32 and it’s 59!
Your diagram doesn't clearly define what values correspond to what, can you explain.