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sineoko [7]
3 years ago
12

What's the basic geometric term for the part of an angle where two rays begin and go in two different directions?

Mathematics
1 answer:
wlad13 [49]3 years ago
5 0

<u>Answer </u>

B. Vertex


<u>Explanation</u>

A vertex is the meeting point of two rays or lines. It is also defined as the point where two or more edges meet. The rays begin and go in two different directions from the vertex.  

In geometry we can say that, it is where each angular point of a polygon, polyhedron, or other figure.

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The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

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Since length is a positive variable, the only possible solution is:

n\approx  5.437\,cm

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

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