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shutvik [7]
3 years ago
15

Ken drew a pair of intersecting rays and marked the angle between them.

Mathematics
2 answers:
valentinak56 [21]3 years ago
6 0

Answer: C. The rays extend infinitely, and the angle is made by the rays which have a common endpoint

Step-by-step explanation:

Given: Ken had drawn a pair of intersecting rays and have marked the angles between them.

The definition of angle says that an angle is a shape that is produced by the intersection of two rays that have a common end point.

A ray is a line segment that has only one end point and is extended infinitely in a unique direction .

According to the above definitions , the correct option is C "The rays extend infinitely, and the angle is made by the rays which have a common endpoint.".

marusya05 [52]3 years ago
4 0

Answer:

C. The rays extend infinitely, and the angle is made by the rays which have a common endpoint

Step-by-step explanation:

We are given that Ken had drawn a pair of intersecting rays and have marked the angles between them.

As we know that a ray is a line segment which has one end point and is extended infinitely in one direction.

Moreover, an angle is a figure that is formed by the intersection of two rays which have a common end point.

Now according to the options, we see that in,

A. A ray cannot have two end points.

B. A ray extends infinitely, so having a number of points is not possible.

D. An angle cannot have a line.

So, we see that all the options except C are discarded.

Hence, option C is the best option that compares the pair of intersecting rays with the angle.

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Miguel quiere entrenar para la carrera solidaria de verano en uno de los dos parques que tiene cerca de casa. Su plan es correr
kondor19780726 [428]

Answer:

  • <em>The square park is more convenient.</em>

Explanation:

The translation of the question is:

<em>Miguel wants to train for the summer solidarity race in one of the two parks that he has close to home. His plan is to run about 10 km each day and he wants to do an exact number of laps around the park to always start and end at the entrance. Since he has not quite decided between the square and the rectangular park, he decides to do some calculations to see which one suits him best.</em>

<em>Square park: 423 meters each side</em>

<em>Rectangular park: 673 meters measures the base and 218 meters the height</em>

<em />

<h2>Solution</h2>

<u />

<u>1. Calculate the perimeter of the square park</u>

The perimeter of a square is the sum of the four side lengths. Since they are equal it is:

  • Perimeter = 4 × side lenght
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<u />

<u>2. Calculate how many times 1,692m is in 10 km</u>

10 km is 10,000 m. Then, divide 10,000 by 1,692 m:

  • Number of laps = 10,000m / 1,692m ≈ 5.91 laps

<u>3. Calculate the perimeter of the rectangular park</u>

  • Perimeter = 2×base + 2×height
  • Perimeter = 2×673m + 2×218m = 1,782m

<u>4. Calculate how many times 1,782 is in 10km</u>

  • Number of laps = 10,000m / 1,782m ≈ 5.61 laps

Then, since the number 5.91 is closer to an integer number than 5.61, you conclude that the square park is more conventient, because by running 6 laps around the square park the number of kilometers run will be closer to 10 km than with any number of complete laps in the rectangular park.

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