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oksano4ka [1.4K]
3 years ago
7

5. The measure of an intercepted arc is 86, and the measure of the inscribed angle creating the intercepted arc is 3x +

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

Th correct option is D. 13

Therefore the value of x is 13.

Step-by-step explanation:

Given:

measure of an intercepted arc = 86°

Center Angle = 86°

measure of the inscribed angle creating the intercepted arc= (3x+4)°

Angle Inscribed in arc = (3x+4)°

To Find:

value of x = ?

Solution:

Inscribed Angle Theorem:

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

\textrm{Angle Inscribed in arc}=\dfrac{1}{2}\textrm{Center Angle}

Substituting the values we get

3x+4=\dfrac{1}{2}86=43\\\\3x=39\\\\x=\dfrac{39}{3}=13\\\\x=13

Therefore the value of x is 13.

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We need to dive to the ten-thousandths place to get numbers between the two.

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Answer:

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Therefore, if you rolling the cube 600 times, the probability of rolling a 3 or a 6 is still 1/6. If 3 and 6 are both allowed, the probability would become 1/3

Hope this helped :3

7 0
3 years ago
Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i
dsp73

Step-by-step explanation:

Given that,

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Time taken, t = 6 seconds

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\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s

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£99 is shared in the ratio 6 : 5<br><br> What is the larger share?
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Answer:

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