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Brrunno [24]
3 years ago
5

Plz help will mark BRAINLIEST if correct

Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

56 degrees

Step-by-step explanation:

The consecutive angles in a parallelogram add up to 180

3x + 8 + 7x + 12 = 180

Then simplify

10x +20 = 180

10x = 160

x = 16

angle q = 3x + 8 = 3(16) + 8 = 48 + 8 = 56

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Given:

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To find:

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Steps:

Since we know the measure of 2 angles of a triangle we can find the measure of the third angle.

18.6° + 93° + ∠C = 180°

        111.6° + ∠C = 180°

                    ∠C = 180° - 111.6°

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now we can use the law of Sines,

\frac{BC}{sinA}=\frac{AB}{SinC}

\frac{BC}{sin(18.6)}= \frac{646}{sin(68.4)}

BC[sin(68.4)] = 646 [sin(18.6)]

BC = \frac{646*sin(18.6)}{sin(68.4)}

BC = \frac{646 * 0.3190}{0.9298}

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Therefore, the distance across the river is 222 meters.

Happy to help :)

If anyone need more help, feel free to ask

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