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ludmilkaskok [199]
2 years ago
8

What is the value of x?

Mathematics
1 answer:
amid [387]2 years ago
3 0

Answer:

The value of x=12

Step-by-step explanation:

because the whole thing is 90 and the other angles are equal to 78 if you add them together. So you would subtract 90-78 which equals 12.

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Given the angles inscribed in the circle, find m ∠ DBC.
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Answer:

m∠DBC = 51°

Step-by-step explanation:

<u>Circle Theorem vocabulary</u>

  • Chord: A straight line joining two points on the circle.
  • Inscribed angle: The angle formed when two chords meet at one point on a circle.
  • Intercepted arc: The arc that is between the endpoints of the chords that form the inscribed angle.

<u>Inscribed Angle Theorem</u>

The measure of an <u>inscribed angle</u> is half the measure of the <u>intercepted arc</u>.

Therefore:

\sf \implies \angle DBC=\dfrac{1}{2}\:\overset{\frown}{BC}

\sf \implies \angle DBC=\dfrac{1}{2}\:(102^{\circ})

\sf \implies \angle DBC=51^{\circ}

Learn more about the Inscribed Angle Theorem here:

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brainly.com/question/27943630

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Then we have

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rearrange that inequation

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we complete the expression as a perfect quadratic, with the help of two number that add +9  and multiplying  - 2142

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then

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( s + 51 )* ( s - 42 ) > 0

For what  have two solution, and we dismiss the negative value since the numbers of shirts could not be negative, we get

s - 42 > 0

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Choose the correct translation for the following statement.
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