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Mrac [35]
3 years ago
14

In spherical geometry, all points are points on the surface of a sphere. A line is a circle on the sphere whose diameter is equa

l to the diameter of the sphere. A plane is the surface of the sphere. In spherical geometry, is it possible that two triangles are similar but not congruent? Explain your reasoning.
Mathematics
1 answer:
mamaluj [8]3 years ago
8 0

Answer: It is not possible that two triangles that are similar and not congruent in spherical geometry.

Step-by-step explanation:

For instance, taking a circle on the sphere whose diameter is equal to the diameter of the sphere and inside is an equilateral triangle, because the sphere is perfect, if we draw a circle (longitudinal or latitudinal lines) to form a circle encompassing an equally shaped triangle at different points of the sphere will definately yield equal size.

in other words, triangles formed in a sphere must be congruent and also similar meaning having the same shape and must definately have the same size.

Therefore, it is not possible for two triangles in a sphere that are similar but not congruent.

Two triangles in sphere that are similar must be congruent.

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The nearest perfect square that is less than 22 is
Andrew [12]

Answer:

16

Step-by-step explanation:

The square numbers are

1² = 1

2² = 4

3² = 9

4² = 16 ← this is the closest perfect square

5² = 25 (not applicable, over 22)

5 0
2 years ago
In an apartment complex with 28 units, 19 of the renters keep a pet. What percentage does not keep a pet?
Aleks04 [339]

If 19 out of 28 renters keep a pet, there are 28-19 = 9 renters who don't keep a pet.

Whenever you have a subset of some set, and you want to know which percentage of the set the subset represents, you simply have to compute

\dfrac{\text{number of elements in the subset}}{\text{number of elements in the set}}\times 100

So, in your case, you're wondering what percentage of 28 does 9 represent. So, the formula becomes

\dfrac{9}{28}\times 100 = 0.32\overline{142857}\times 100 = 32.\overline{142857} \approx 32.14\%

6 0
2 years ago
Can someone help me please?
shusha [124]
So, if the page is 12 inches wide, that's the width of the page, 12, minus the width of the photo, 7 1/2. 12 - 7 1/2 = 4 1/2. 
Now, we need to divide 4 1/2 by 2, so it will be even on both sides.
4 1/2 divided by 2 = 2 1/4.
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8 0
3 years ago
Read 2 more answers
Find the range of the function y= 9x-2, where x>-2
RideAnS [48]

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Step-by-step explanation:hope this helps

8 0
2 years ago
Help me pls<br><br> What is a visual Overlap
PilotLPTM [1.2K]
Informally assess the degree of visual overlap of two numerical data distributions with similar variabilities, measuring the difference between the centers by expressing it as a multiple of a measure of variability.


- Hope this helps!
4 0
3 years ago
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