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Fiesta28 [93]
2 years ago
5

Solve for A ? Anyone willing to help me :)

Mathematics
1 answer:
GrogVix [38]2 years ago
5 0

Answer:

<h2>2.2</h2>

Step-by-step explanation:

Use the cosine law:

BC^2=AB^2+AC^2-2(AB)(AC)\cos(\angle A)

We have:

BC=a\\\\AB=4\\\\AC=3\\\\m\angle A=32^o\to\cos32^o\approx0.848

Substitute:

a^2=4^2+3^2-2(4)(3)(0.848)\\\\a^2=16+9-20.352\\\\a^2=4.648\to a=\sqrt{4.648}\\\\a\approx2.2

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Based on the central angle theorem, the measure of angle AEB is: 140°.

<h3>What is the Central Angle Theorem?</h3>

According to the central angle theorem, the measure of an intercepted arc = measure of the central angle.

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