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yanalaym [24]
2 years ago
15

What is the length of the side labeled x cm ? show your work

Mathematics
1 answer:
Fynjy0 [20]2 years ago
7 0

Answer:

9.9 cm

Step-by-step explanation:

Calculate the third angle and then use <u>The Law of Sines</u>.

Sum of angles in triangle is 180°.

angle + 40° + 63° = 180°

angle = 180° - 40° - 63°

angle = 77°

Now we can use the law of sines.

\frac{x}{\sin 40} = \frac{15}{\sin 77}

x = \frac{15 \cdot \sin 40}{\sin 77}

x \approx 9.895

x \approx 9.9 \text{ cm}

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