Using the distance formula;![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
We find the length of each side of the parallelogram as follows:
<u>Side JK</u>
![|JK|=\sqrt{(3--3)^2+(9-9)^2}](https://tex.z-dn.net/?f=%7CJK%7C%3D%5Csqrt%7B%283--3%29%5E2%2B%289-9%29%5E2%7D)
![|JK|=\sqrt{(3+3)^2+(0)^2}](https://tex.z-dn.net/?f=%7CJK%7C%3D%5Csqrt%7B%283%2B3%29%5E2%2B%280%29%5E2%7D)
![|JK|=\sqrt{(6)^2+(0)^2}](https://tex.z-dn.net/?f=%7CJK%7C%3D%5Csqrt%7B%286%29%5E2%2B%280%29%5E2%7D)
![|JK|=\sqrt{(6)^2+(0)^2}](https://tex.z-dn.net/?f=%7CJK%7C%3D%5Csqrt%7B%286%29%5E2%2B%280%29%5E2%7D)
![|JK|=\sqrt{(6)^2+0}](https://tex.z-dn.net/?f=%7CJK%7C%3D%5Csqrt%7B%286%29%5E2%2B0%7D)
![|JK|=\sqrt{(6)^2}](https://tex.z-dn.net/?f=%7CJK%7C%3D%5Csqrt%7B%286%29%5E2%7D)
units
<u>Side KL</u>
![|KL|=\sqrt{(1-3)^2+(1-9)^2}](https://tex.z-dn.net/?f=%7CKL%7C%3D%5Csqrt%7B%281-3%29%5E2%2B%281-9%29%5E2%7D)
![|KL|=\sqrt{(-2)^2+(-8)^2}](https://tex.z-dn.net/?f=%7CKL%7C%3D%5Csqrt%7B%28-2%29%5E2%2B%28-8%29%5E2%7D)
![|KL|=\sqrt{4+64}](https://tex.z-dn.net/?f=%7CKL%7C%3D%5Csqrt%7B4%2B64%7D)
![|KL|=\sqrt{68}](https://tex.z-dn.net/?f=%7CKL%7C%3D%5Csqrt%7B68%7D)
units
<u>Side LM </u>
![|LM|=\sqrt{(-5-1)^2+(1-1)^2}](https://tex.z-dn.net/?f=%7CLM%7C%3D%5Csqrt%7B%28-5-1%29%5E2%2B%281-1%29%5E2%7D)
![|LM|=\sqrt{(-6)^2+(0)^2}](https://tex.z-dn.net/?f=%7CLM%7C%3D%5Csqrt%7B%28-6%29%5E2%2B%280%29%5E2%7D)
![|LM|=\sqrt{36}](https://tex.z-dn.net/?f=%7CLM%7C%3D%5Csqrt%7B36%7D)
units
<u>Side MJ</u>
![|MJ|=\sqrt{(-3--5)^2+(9-1)^2}](https://tex.z-dn.net/?f=%7CMJ%7C%3D%5Csqrt%7B%28-3--5%29%5E2%2B%289-1%29%5E2%7D)
![|MJ|=\sqrt{(-3+5)^2+(9-1)^2}](https://tex.z-dn.net/?f=%7CMJ%7C%3D%5Csqrt%7B%28-3%2B5%29%5E2%2B%289-1%29%5E2%7D)
![|MJ|=\sqrt{(2)^2+(8)^2}](https://tex.z-dn.net/?f=%7CMJ%7C%3D%5Csqrt%7B%282%29%5E2%2B%288%29%5E2%7D)
![|MJ|=\sqrt{4+64}](https://tex.z-dn.net/?f=%7CMJ%7C%3D%5Csqrt%7B4%2B64%7D)
![|MJ|=\sqrt{68}](https://tex.z-dn.net/?f=%7CMJ%7C%3D%5Csqrt%7B68%7D)
units.
We can see that
units
units .
Since the opposite sides are equal, they are congruent.
See diagram
Answer:
Step-by-step explanation:
16x^4+56x^2+49
(4x^2+7)^2
Answer:
5/12a + 1/3b
Step-by-step explanation:
2/3a + 1/6b + (-1/6a) + 3/18b + (-1/12a)
[2/3a + (-1/6a) + (-1/12a)] + [3/18b + 1/6b]
5/12a + 1/3b
Answer:
I believe it should be (-7,-2)
Step-by-step explanation:
Answer: The missing side is 10.5 inches
Step-by-step explanation:
Add the side lengths you know 0.5+2+ 7= 9.5
Subtract that from 20 20- 9.5 = 10.5
Don't forget to include the unit length,inches.