<h3>
Answer: B. Diagonals are congruent.</h3>
Explanation:
If the diagonals are congruent, then we'd have a rectangle. Any rectangle is a parallelogram, but not the other way around.
If we had a non-rectangular parallelogram, with none of the angles 90 degrees, then the diagonals will not be the same length.
Choices A, C and D are true for any parallelogram (rectangle or not).
Answer:
6
Step-by-step explanation:
The radius of a circle does not change with direction, it stays constant. This, the radius of the bigger circle is 4, and of the smaller circle is 2. Thus, OP equals 4 + 2 = 6. You're correct! :)
Answer:
(7n-4)^2
Step-by-step explanation:
Hope this helps
Answer:
1,800 bricks are needed
Step-by-step explanation:
First convert the Length and width of the sidewalk into inches
Entire Sidewalk: L= 100x12 =1200in and W= 4 x 12 = 48in
Then we know Area = LxW, so we will do this for both the sidewalk and the brick.
Area of sidewalk: 1200 x 48 = 57600
Bricks ( no need to convert since the measurements are already in inches): 8 x 4 = 32
Now we will divide the area of the entire sidewalk by the area of a single brick to find out how many bricks you need to complete the whole sidewalk:
57600/32= 1,800 bricks
Answer:
(-2,-1,-3)
Step-by-step explanation:
5x-4y-3z=3
x+y-z=0
x=3y+1
Multiply the second equation by -3
-3(x+y-z)=0*3
-3x-3y+3z =0
Add this to the first equation to eliminate z
5x-4y-3z=3
-3x-3y+3z =0
--------------------
2x-7y =3
Substitute x =3y+1 into the above equation
2(3y+1) -7y=3
Distribute the 2
6y +2 -7y = 3
Combine like terms
-y+2 =3
Subtract 2 from each side
-y+2-2 = 3-2
-y = 1
Multiply by -1
-y*-1 = 1*-1
y =-1
We need to find x
x=3y+1
x =3(-1) +1
x =-3+1
x= -2
Now we need to find z
x+y-z=0
-2+-1-z=0
-3-z=0
Add z to each side
-3-z+z=0+z
-3=z
x=-2, y=-1 z=-3
(-2,-1,-3)
