2 years ago

Find the value of x in the diagram shown below.

Mathematics

1 answer:

Serggg [28]2 years ago

6 0

Answer:

∠DFA = 82°

Step-by-step explanation:

According the property of inscribed angles and arcs, the angle is half of the arc length.

Solving :

∠CFB = 1/2 x ∡CB
∠CFB = 1/2 x 164°
∠CFB = 82°
∠CFB = ∠DFA (Vertically Opposite Angles)
∠DFA = 82°

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3 years ago

Factor completely 6x^2 -4x

Liono4ka [1.6K]

Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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8 0

2 years ago

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sergiy2304 [10]

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3 years ago

Read 2 more answers

Find all values of x in the interval [0, 2π] that satisfy the equation. 6sin²(x) = 3

34kurt

Answer:

The solutions are π/4, 3π/4,5π/4,7π/4

Step-by-step explanation:

The given equation is

6sin²(x) = 3

Divide by 6 to get:

${ \sin}^{2} (x) = \frac{1}{2}$

This implies that;

$\sin(x) = \pm \frac{ \sqrt{2} }{2}$

$\sin(x) = \frac{ \sqrt{2} }{2}$

$x = \frac{\pi}{4}$

in the first quadrant

$x = \frac{3\pi}{4}$

in the second quadrant.

$\sin(x) = - \frac{ \sqrt{2} }{2}$

$x = \frac{5\pi}{4}$

in the third quadrant

$x = \frac{7\pi}{4}$

5 0

3 years ago