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Question I need help with 2:

Question I need help with 2:-example-1

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4 votes

Answer:


\huge\boxed{\sf x = 2}

Explanation:

Statement:

  • The measure of central angle is twice that of the circumference angle.

Solution:

Given that,

Central angle = 3x + 90

Circumference angle = 10x + 28

According to the statement,

3x + 90 = 2(10x + 28)

  • Distribute

3x + 90 = 20x + 56

  • Subtract 56 from both sides

3x + 90 - 56 = 20x

3x + 34 = 20x

  • Subtract 3x from both sides

34 = 20x - 3x

34 = 17x

  • Divide both sides by 17

34/17 = x

2 = x

x = 2


\rule[225]{225}{2}

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