Which of the equations below could be the equation of this parabola? (0, 0) A. x= - 1 / 4y² B. x=-1/4x2 C. x=1/4y2 D. x=1/4x2
1 answer:
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Answer:
Step-by-step explanation:
Given
Mr. Caldwell has 10 full pizzas and half of another one
he wants to distribute it in among 8 of his students
Total pizzas are
So, each student gets
that is 1 pizza and five-sixteenth part of a pizza.
Answer:
a). x = 135°
b). y = 45°
c). z = 67.5°
Step-by-step explanation:
Since sum of interior angles of a regular polygon is represented by,
Sum of interior angles = (n - 2) × 180°
Here n = number of sides
For a regular octagon, n = 8
Sum of interior angles = (8 - 2) × 180° = 1080°
And measure of one interior angles =
x =
x = 135°
From the figure attached,
Angle C has been divided in 6 equal parts,
Therefor, m∠ECD = = 22.5°
Since ∠ECD ≅ ∠CED,
m∠CED = 22.5°
Since m∠E = 135°
m∠FEC = 135 - 22.5 = 112.5°
In ΔFEC,
m∠FEC + m∠ECF + m∠CFE = 180°
112.5 + 22.5 + z = 180
z = 180 - 135
z = 45°
Similarly, in ΔCGF,
m∠CGF + m∠CFG + m∠GCF = 180°
(135 - y)° + (135 - z)° + 22.5° = 180°
270 - (y + z) + 22.5 = 180
292.5 - (y + 45) = 180
247.5 - y = 180
y = 247.5 - 180
y = 67.5°
Part a: Option c:
Part b: The value of x is 26
Explanation:
Part a:
Option a:
Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.
Thus, the equation cannot be used to determine the value of x.
Hence, Option a is not the correct answer.
Option b:
Adding all the angles in the straight line results in 180°.
Thus, adding all the angles does not equals to 90°
Hence, the equation cannot be used to determine the value of x.
Hence, option b is not the correct answer.
Option c:
Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°
Thus, the angles in this straight line are 3x, 90° and x-14.
Hence, adding these angles will result in 180°
Thus, the equation becomes
Hence, the equation used to determine the value of x is
Thus, Option c is the correct answer.
Option d:
Adding all the angles in the straight line results in 180°.
Since, not all the three angles were added in this equation and the equation equals to 180°
Hence, the equation cannot be used to determine the value of x.
Thus, Option d is not the correct answer.
Part b:
To determine the value of x, we shall add all the angles of the equation
Thus, we get,
Subtracting both sides by 76,
Dividing both sides by 4, we get,
Thus, the value of x is 26.