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Arisa [49]
3 years ago
11

Wegnerkolmp or someone who can explain maths please I need a proper explanation

Mathematics
1 answer:
umka2103 [35]3 years ago
6 0

Answer: 66 degrees

Explanation:

Check out the attached image below. Figure 1 is the original image without any additions or alterations. Then in figure 2, I extend segment BC to form a line going infinitely in both directions. This line crosses segment DE at point F as shown in the second figure.

Note how angles ABC and DFC are alternate interior angles. Because AB is parallel to DE (given by the arrow markers) this means angle DFC is also 24 degrees

Focus on triangle DFC. This is a right triangle. The 90 degree angle is at C.

So we know that the acute angles x and 24 are complementary. They add to 90. Solve for x

x+24 = 90

x+24-24 = 90-24

x = 66

That is why angle CDE is 66 degrees

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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
  • Perimeter = 4× 423m = 1,692 m

<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.

3 0
3 years ago
Danielle created a painting using only similar hexagons.
snow_tiger [21]

Answer:

The hexagons have corresponding sides that are proportional

Step-by-step explanation:

Hexagon is a polygon that consists of six sides and six angles.

Two polygons are said to be similar under the following conditions:

1. Corresponding angles of the hexagons are congruent.

2. Corresponding sides of the hexagons are proportional.

As hexagons are similar, the following statement must be true:

The hexagons have corresponding sides that are proportional.

7 0
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