We know that π = 180°, therefore:
1.
Answer: correct
2.
Answer: no correct
3.
Answer: no correct
4.
Answer: correct
5.
Answer: correct
The ratio of seventh graders to sixth graders on a chess team is 5 to 3. What is the ratio of seventh graders to total chess pla
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
The diameter of the circle is the same as the side length of the bounding square. The radius of the circle is 8 in, so the side length of the square is 16 in.
Then the area between the square and circle is obtained by subtracting the area of the circle from the area of the square:
and the area you want is
Given the equation:
(1)
We need to find a, b and c. So, we know that a quadratic equation is given by:
(2)
Then, we need to order the equation (1) and to adjust it to the equation (2), so:
So, if we compare these two equations, the conclusion is:
(3)
Substituiting a, b and c into (3):
Finally, the results are two values:
(1)
We need to find a, b and c. So, we know that a quadratic equation is given by:
(2)
Then, we need to order the equation (1) and to adjust it to the equation (2), so:
So, if we compare these two equations, the conclusion is:
(3)
Substituiting a, b and c into (3):
Finally, the results are two values: