251,000
For this check the hundreds, tens, ones. If it's 500 of more round it up
Answer:
Yes, the given parallelogram is a rectangle.
Step-by-step explanation:
The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).
The slope formula is
![m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}](https://tex.z-dn.net/?f=JK%3D%5Cfrac%7B4-0%7D%7B1-%28-5%29%7D%3D%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![KL=\frac{1-4}{3-1}=\frac{-3}{2}](https://tex.z-dn.net/?f=KL%3D%5Cfrac%7B1-4%7D%7B3-1%7D%3D%5Cfrac%7B-3%7D%7B2%7D)
![LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}](https://tex.z-dn.net/?f=LM%3D%5Cfrac%7B-3-1%7D%7B-3-3%7D%3D%5Cfrac%7B-4%7D%7B-6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
![JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}](https://tex.z-dn.net/?f=JM%3D%5Cfrac%7B-3-0%7D%7B-3-%28-5%29%7D%3D%5Cfrac%7B-3%7D%7B2%7D)
The slopes of opposites sides are same it means they are parallel to each other.
The product of slopes of two consecutive sides is
![\frac{2}{3}\times \frac{-3}{2}=-1](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cfrac%7B-3%7D%7B2%7D%3D-1)
Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.
Yes, the given parallelogram is a rectangle.
Answer:
11/12
Step-by-step explanation:
(1 1/10)/(1 1/5) = 1.1/1.2 = 11/12
__
You can also work this using improper fractions:
(1 1/10)/(1 1/5) = (11/10)/(6/5) = 11/10×5/6 = (11×5)/(6×10)
= (11×5)/(6×2×5) = 11/(6×2) = 11/12
Answer:
The answer is 3x-27
Step-by-step explanation:
If the angles are vertical from each other it means they are congruent. 2x+30 is 63, you plug in the x, 2(30)+30. You do that to the second one and also get 63, 3(30)-27. Therefore 3x-21 is the answer.
Answer:
2
Step-by-step explanation:
19 minus 17 equals 2 .