Answer:
Step-by-step explanation:
Answer:
If a parallelogram has at least one 90 degree angle then its opposite angle is equal and also = 90 degrees.
The 2 remaining opposite angles add up to 180 degrees and since they must be equal, they must be 90 degrees each.
So, we have a quadrilateral with four 90 degree angles and is therefore a rectangle OR it could possibly be a square.
Step-by-step explanation:
Answer:
3.10 m
Step-by-step explanation:
The bedroom needs to be 30 cubic meters when finished.
We need to find the dimensions of the room.
The volume of a cube is given by :
![V=a^3](https://tex.z-dn.net/?f=V%3Da%5E3)
Where
a is the side of the cube
So,
![a=(V)^{1/3}\\\\a=(30)^{1/3}\\\\a=3.10\ m](https://tex.z-dn.net/?f=a%3D%28V%29%5E%7B1%2F3%7D%5C%5C%5C%5Ca%3D%2830%29%5E%7B1%2F3%7D%5C%5C%5C%5Ca%3D3.10%5C%20m)
So, the dimension of the room is 3.10 m.
Answer:
h = 4
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 2
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = M (h, 3 ) and (x₂, y₂ ) = N (- 2, - 9 )
m =
=
, then
= 2 ( multiply both sides by - 2 - h )
2(- 2 - h) = - 12 ( divide both sides by 2 )
- 2 - h = - 6 ( add 2 to both sides )
- h = - 4 ( multiply both sides by - 1 )
h = 4