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Sergio039 [100]
3 years ago
12

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circ

le.
Given and ,
° and
°.
Mathematics
1 answer:
RSB [31]3 years ago
8 0

Answer:

146°

Step-by-step explanation:

Points A and B are the endpoints of an arc of a circle. Chords are drawn from the two endpoints to a third point, C, on the circle. Given m arch AB=64° and ⦣ABC=73°, m ⦣ABC=__ ° and m arch AC=__ °.

Solution:

Given that:

arc AB = 64° and ⦣ABC=73°

The Central Angle Theorem states that the central angle from two chosen points A and B on the circle is always twice the inscribed angle from those two points. The inscribed angle is any point along the outer arc AB and the two points A and B.

Therefore arc AC is the central angle of ⦣ABC. Using the central angle theorem gives:

arc AC = 2 * ⦣ABC

substituting:

arc AC = 2 * 73

arc AC = 146°

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2 years ago
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

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Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

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Calculations 

c² = α² + β²

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<span>5476 = 576 + </span>β² 

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<span> </span>
<span>4900 = </span>β² 

→√4900 
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<span>70 = 10x 
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<span>x = 70</span>÷<span>10 = 7 yards  
</span>
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3 years ago
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Answer:

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Step-by-step explanation:

hope this helps ;)

have a great day!! <3

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-x/11+8.5

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THANK YOU.

3 0
3 years ago
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