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Vitek1552 [10]
3 years ago
15

Find the value of x. I need to show my work*** THANK YOU

Mathematics
2 answers:
FrozenT [24]3 years ago
8 0

Answer:

29 = x

Step-by-step explanation:

The two angles shown are vertical angles and vertical angles are equal

59 = 2x+1

subtract 1 from each side

59-1 = 2x+1-1

58 = 2x

Divide by 2

58/2 = 2x/2

29 = x

Alchen [17]3 years ago
3 0

Answer:

x=29

Step-by-step explanation:

They are vertical angles so 59=2x+1

58=2x

x=29

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In triangle abc, a is a right angle, and ab = 16√3, and the measure of b=30 degrees. What is the length of ac.
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Answer:

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Step-by-step explanation:

Given;

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B is 30⁰

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              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16

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