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V125BC [204]
3 years ago
14

The graph of a system of linear equations is shown below. What is the solution of the system?​

Mathematics
1 answer:
Iteru [2.4K]3 years ago
7 0

Answer: (2,2)

Step-by-step explanation:

It is where the two lines intersect.

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A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to
Goryan [66]

Answer:

Step-by-step explanation:

Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as

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Therefore,

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Formula for finding the volume of a sphere is expressed as

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harina [27]

Answer:

m\angle b=97^{\circ},\\m\angle c= 97^{\circ}

Step-by-step explanation:

Vertical angles are angles on opposites sides of an intersection of two lines. Therefore, \angle c and \angle b are vertical angles. Similarly, the angle opposite to the angle marked 83 degrees is also equal to 83 degrees. Vertical angles are always equal.

Since there are 360 degrees in a circle, we have the following equation:

\angle c+\angle b+83+83=360,\\2\angle c+166=360,\\2\angle c=194,\\\angle c=\frac{194}{2}=\boxed{97^{\circ}}

Since \angle c and \angle b are vertical angles and vertical angles are also equal, the measure of angle b is also \boxed{97^{\circ}}

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