Answer:
x=11,y=10.
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
We can form an equation in x and y using this property.
2y+2=2x
and x+9=2y.
Solving the second equation for x ,
x=2y-9.
Substituting x value in 2y+2=2x
2y+2=2(2y-9)
Or ,2y+2=4y-18.
Adding 18 both sides:
2y+20=4y.
Subtracting 2y both sides
20=2y.
Dividing both sides by 2:
y=10.
x=2y-9
x=2(10)-9 ( substituting y value)
x=20-9=11
x=11 and y=10 will make the figure a parallelogram.
Answer: The volume is 33 cubic centimeters.
Step-by-step explanation:
First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.
So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.
V= 3^2 * 2 /3
V= 9 * 2 /3
V= 18/3
v= 6
So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.
Volume of the a cube uses the formula s^3 where s is the side length.
V= 3^3
v= 3*3*3
v= 27
The volume of the cube is 27.
Add 6 and 27 to find the total volume.
6 +27 = 33
To solve this, find the rest of the sides:
The other sides are:
1. 24 - 8 = 16
2. 23 - 9 = 14
Next, just add it up:
24 + 9 + 16 + 14 + 8 + 23 = 33 + 30 + 31 = 94
Answer:
m∠1=103°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
An exterior angle of a triangle is equal to the sum of the opposite interior angles
so
In this problem
m∠1=m∠2+m∠3
substitute the given values
m∠1=31°+72°=103°
One ton = 2000 lbs
Therefore, 1.5 tons = 3000 lbs
3000-300=2700lbs
