Las propiedades de las multiplicaciones nos llevaran a igualar distint
1 answer:
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Answer:
The values of x and y in the diagonals of the parallelogram are x=0 and y=5
Step-by-step explanation:
Given that ABCD is a parallelogram
And segment AC=4x+10
From the figure we have the diagonals AC=3x+y and BD=2x+y
By the property of parallelogram the diagonals are congruent
∴ we can equate the diagonals AC=BD
That is 3x+y=2x+y
3x+y-(2x+y)=2x+y-(2x+y)
3x+y-2x-y=2x+y-2x-y
x+0=0 ( by adding the like terms )
∴ x=0
Given that segment AC=4x+10
Substitute x=0 we have AC=4(0)+10
=0+10
=10
∴ AC=10
Now (3x+y)+(2x+y)=10
5x+2y=10
Substitute x=0, 5(0)+2y=10
2y=10
∴ y=5
∴ the values of x and y are x=0 and y=5
Answer:
Option A -
Step-by-step explanation:
Given: The volume of a cylinder =
Let us substitute the volume of cylinder in the formula.
The formula for volume of a cone is (1)
The formula for volume of a cylinder is (2)
Substituting in equation (2), we get,
Given that the cone has the same radius and height of that of the cylinder, let us substitute in equation (1)
Thus, the volume of a cone with the same radius and height of a cylinder is .