Answer:
a) w = 5
b) x = 5 or 6
Step-by-step explanation:
A) The propety you want to use is that opposite sides of a parallelogram are equal. In this case AB = DC and AD = BC
It then givs you the measure for AB and DC, so you know they are equal
w^2 - 5 = 4w
w^2 - 4w - 5 = 0
I am going to complete the square
(w - 2)^2 - 9 = 0
(w - 2)^2 = 9
w - 2 = +/- 3
w = +/-3 + 2
w = -1 or 5
Since length can't be negative we know w = 5. It's not because w is negative mind you, but the side 4w is negative and w^2 - 5 would be negative. if you could make w a negative number and still have 4w and w^2 - 5 be positive, that negative w would work
B) here you want to use opposite angles are equal in a parallelogram. So B = D and A = C
It gives us B and D so set them equal.
25 = x^2 - 11x + 55
x^2 - 11x + 30 = 0
(x - 11/2)^2 - 1/4 = 0
(x - 11/2)^2 = 1/4
x - 11/2 = +/-1/2
x = +/- 1/2 + 11/2
x = 5 or 6
Here both answers work.
The circumference = π x the diameter of the circle (Pi multiplied by the diameter of the circle). Simply divide the circumference by π and you will have the length of the diameter. The diameter is just the radius times two, so divide the diameter by two and you will have the radius of the circle
Answer:
27000
Step-by-step explanation:
600(45)=27000
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