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3 years ago

What is the length of the side labeled x cm?

Mathematics

1 answer:

UkoKoshka [18]3 years ago

5 0

When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees

The Law of Sines states that

side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)

14 * Sine (41) / Sine (77) = side x

side x = 14 * 0.65606 / 0.97437
side x = 9.18484 / 0.97437

 side x = 9.4264396482

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3 years ago

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Step-by-step explanation:

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x = (-b ± sqrt(b² - 4ac))/(2a)

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a = 1

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= (-1 ± sqrt(1 - 3))/2 = (-1 ± sqrt(-2))/2 =

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x1 = (-1 + sqrt(2)i) / 2

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remember, i = sqrt(-1)

f(x) has no 0 results for x = real numbers.

for the solution we need to use imaginary numbers.

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3 years ago

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Answer:

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Answer:

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Because they are opposite angles, the two angles have the same value, i.e

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x = 85 deg

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3 years ago