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Flura [38]
3 years ago
7

Which of the following are among the five basic postulates of euclidean geometry

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer : The Euclidean geometry is a mathematical system that is attributed to Alexandrian Greek mathematician Euclid. He described mostly about the Elements in geometry. The method consisted of assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.

The five basic postulates of euclidean geometry are as follows;

  1. A straight line may be drawn between any two points.
  2. A piece of straight line may be extended indefinitely.
  3. A circle may be drawn with any given radius and an arbitrary center.
  4. All right angles are equal.
  5. If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.
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The world's largest pumpkin pie weighed 2020 pounds. The pie was 12 and one-third feet across and one-third foot thick. Write a
Yanka [14]

Answer:

\frac{1}{3} = \frac{2}{6}

To find equivalent fractions, multiply be any number that is the same for the numerator/denominator

You can also divide, but it must be divisible by both the numerator/denominator

5 0
3 years ago
In Triangle XYZ, measure of angle X = 49° , XY = 18°, and
marissa [1.9K]

Answer:

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X (1)

If we know that X = 49^{\circ}, XY = 18 and YZ = 14, then we have the following second order polynomial:

14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}

XZ^{2}-23.618\cdot XZ +128 = 0 (2)

By the Quadratic Formula we have the following result:

XZ \approx 15.193\,\lor\,XZ \approx 8.424

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y

\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}

Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)

1) XZ \approx 15.193

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 54.987^{\circ}

2) XZ \approx 8.424

Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]

Y \approx 27.008^{\circ}

There are two choices for angle Y: Y \approx 54.987^{\circ} for XZ \approx 15.193, Y \approx 27.008^{\circ} for XZ \approx 8.424.

6 0
3 years ago
12 pots cost $27 . what is the cost of 8 pots?​
Alborosie

Answer:

$18

Step-by-step explanation:

you divide 27/12= 2.25 this gives you the price for one.

then you multiply 8 × 2.25 = $18

$18 dollars is the price for 8 pots

6 0
3 years ago
Is the function even odd or neither
Andrei [34K]

Answer: Neither

The function is not even because it doesn't have y axis symmetry. In other words, reflecting it over the vertical y axis means it doesn't line up with itself. The left half is different from the right half.

The function isn't odd either. Why not? Because rotating it 180 degrees around the origin has the function curve looking completely different. A point like (3,6) will rotate to (-3,-6) which is not on the orange curve. This is just one counter-example as to why the function is not odd.

4 0
3 years ago
Help me with this answer pls
4vir4ik [10]

Answer:

I think A is the answer

Step-by-step explanation:

Comment down if I am wrong but if I am right give me stars or a thank you or a thank you comment.

8 0
2 years ago
Read 2 more answers
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