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Q: For two arcs to be congruent what conditions must be met?

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before two alternators can be connected in parallel, the output voltage of the two machines should be the same, the phase rotation of the machines must be the same, and the output voltages of the two machines must be in phase.

It is simply a mapping. It could be a function but there are several conditions that need to be met before the mapping can become a function and there is no basis for assuming that those conditions are met.

You can use a normal distribution to approximate a binomial distribution if conditions are met such as n*p and n*q is > or = to 5 & n >30.

No it is not. It's possible to have to have a set of vectors that are linearly dependent but still Span R^3. Same holds true for reverse. Linear Independence does not guarantee Span R^3. IF both conditions are met then that set of vectors is called the Basis for R^3. So, for a set of vectors, S, to be a Basis it must be:(1) Linearly Independent(2) Span S = R^3.This means that both conditions are independent.

The Normal distribution is a probability distribution of the exponential family. It is a symmetric distribution which is defined by just two parameters: its mean and variance (or standard deviation. It is one of the most commonly occurring distributions for continuous variables. Also, under suitable conditions, other distributions can be approximated by the Normal. Unfortunately, these approximations are often used even if the required conditions are not met!

Related questions

They have sides of equal length.

For two 7 sided regular heptagons to be congruent they must be identical in shape and size.

They have all epual sides

They are theorems that specify the conditions that must be met for two triangles to be congruent.

1. There are two right triangles. 2. They have congruent hypotenuses. 3. They have one pair of congruent legs.

The two legs must be corresponding sides.

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"ultimatum

Boolean logic is used to combine multiple operations together. You can use "OR" to choose one or more from several sets of conditions, "AND" to specify all conditions must be met, "XOR" if only one of two conditions must be met (but not both), and "NOT" to specify that a condition must not be met.

Perimeters must be the same

your face must melt

Two conditions that must met for a chemical reaction to occur are the molecules must collide and they must have enough energy to be able to react. The molecules must collide in a way that the reaction can occur.

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