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White raven [17]
3 years ago
13

Equilateral triangle ABC is inscribed in Circle O. Use the diagram to find the following measures.

Mathematics
2 answers:
stich3 [128]3 years ago
6 0
If triangle ABC is equilateral, then its three angles are equal to 60°:
m <ACB = m <ABC = m <BAC = 60°

The arc AB is contained by the <ACB, the:
m <ACB=[m arc(AB)]/2
Replacing m<ACB by 60° in the equation above:
60°= [m arc(AB)] / 2
Solving for m arc(AB):
2*60°=2*[m arc(AB)]/2
120°= m arc(AB)
m arc(AB)=120°

Answer: m arc(AB)=120°

Luba_88 [7]3 years ago
3 0
There is not enough information
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Giselle works as a carpenter and as a blacksmith.
seropon [69]

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

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2 years ago
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Answer:

B. 1/56

Explanation:

There are 8 different marbles. In the first draw, you have a one out of 8 chance of getting the red. In the second draw, there are 7 marbles remaining, so a one out of 7 chance of drawing a white marble. To find the total probability of drawing the red and then white marble, we multiply the probabilities if each draw.

(1/8)*(1/7)=1/56

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