The angles ∠CFE and ∠AFB are vertically opposite angles. Then the value of x will be 6.
<h3>What is an angle?</h3>
Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
We know that the angle ∠DFE is 90°.
Then the sum of the angle ∠CFD and ∠DFE will be
∠CFD + ∠DFE = 27° + 90°
∠CFD + ∠DFE = 117°
Then the angles ∠CFE and ∠AFB are vertically opposite angles. Then we have
∠CFD = ∠DFE
Put the values
21x - 9 = 117
21x = 126
x = 6
More about the angled link is given below.
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The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.
<h3>Trigonometry</h3>
First, when we have two angles, whose sum equals, 90°.
In essence, Since the algebraic sum of angles A and B is 90°;
By trigonometric identity;
Where; (90 - A) = B.
Therefore; Sin A = Cos B = 0.68.
Read more on trigonometry;
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Answer:
44 cm
Step-by-step explanation:
The area of a square is the square of the side length. This means the side length is the square root of the area.
s = √A = √(121 cm²) = 11 cm
The perimeter of a square is the sum of its side lengths. There are 4 equal-length sides, so the perimeter is 4 times the length of one side:
P = 4s = 4(11 cm)
P = 44 cm
The perimeter of the square is 44 cm.
