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3 years ago

Can anyone write a proof for this?

Mathematics

1 answer:

disa [49]3 years ago

4 0

Good evening ,

Step-by-step explanation:

Using Pythagorean theorem in both right triangles PRQ and PRS we can prove that segment RQ ≅ segment RS

then R is a point of the mediator of segment QS

and since PQ = PS then P also is a point of the mediator of segment QS

finally line PR is the mediator of the segment QS

therefore the line PR passes through the midpoint of segment QS.

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Answer:

Step-by-step explanation:

Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.

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3 years ago

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3 years ago

Find \cos(\alpha)cos(α)cosine, left parenthesis, alpha, right parenthesis in the triangle. Choose 1 answer: Choose 1 answer: (Ch

icang [17]

Answer:

Check Explanation

Step-by-step explanation:

The diagram for this question is missing, but from the setup of the question, it is evident that the triangle to obtain cos α from is a right angled triangle.

It is evident from the options provided that the right angled triangle is one with dimensions of 20, 21 and 29.

These three dimensions perfectly form a Pythagorean triple.

So, the value of cos α now depends on the setup of the triangle.

From trigonometric relations, if α is an angle in the right angled triangle, cos α is given mathematically as

Cos α = (Adj/Hyp)

For this Pythagorean triple,

Hyp = hypotenuse side = 29

Adj = Adjacent side = 20 or 21, depending on the triangle's setup.

If the adjacent is 20,

Cos α = (20/29), option A is correct.

If the adjacent is 21,

Cos α = (21/29), option C is correct.

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3 years ago