MATHEMATICS HIGH SCHOOL

All circles are similar to each other.
a. True
b. False

Answers

Answer 1
Answer:

Answer:

The correct option is a.

Step-by-step explanation:

The given statement is all circles are similar to each other.

A circle is the set of points in a plane that are equidistant from a given point which is known as circle.

Two figures are similar if their corresponding sides are proportional.

Circles are completely dependent on its radius. The radius of any two circles are proportional for any point on the circles.

The statement "All circles are similar to each other" is true.

Therefore the correct option is a.
Answer 2
Answer:

The statement "All circles are similar to each other" is true.

We know that,

Circles are a type of geometric shape with unique properties that set them apart from other shapes.

The defining feature of a circle is its set of points that are equidistant from a fixed point, known as the center.

This means that circles have a constant diameter and radii, regardless of their size.

Additionally, a circle's circumference is always proportional to its diameter, which is represented by the mathematical constant π.

Due to these consistent properties, all circles are considered to be similar to each other.

This means that any two circles have the same shape, but may differ in size.

Hence,

The statement that all circles are similar to each other is a fundamental truth in geometry and mathematics.

Learn more about the circle visit:

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Find the y-intercept of the line which passes through (-2,-2) and (2,-4).

Answers

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Answers

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What 2 numbers add up to 1 and multiply to -12

Answers

-3 and 4......................
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Justin was asked to write equations based on the triangle below. So far he has come up with the following equations: Which of the following would be another correct equation?

Answers

Answer:

C: tan 60 = √3

Step-by-step explanation:

Let the adjacent part of the triangle be x and let the opposite side be y.

Thus, from trigonometric ratios;

x/10 = cos 60

We are given cos 60 = ½

Thus;

x/10 = ½

x = ½ × 10

x = 5

Similarly;

y/10 = sin 60

Now,from trigonometric relationship we know that; sin 60 = cos 30. Thus;

y/10 = cos 30

We are given cos 30 = (√3)/2

Thus;

y/10 = (√3)/2

y = 10 × (√3)/2

y = 5√3

Since it is a right angle triangle with one angle being 60°, it means the other one is 30° since sum of angles in a triangle is 180°.

Thus;

5/(5√3) = tan 30°

1/√3 = tan 30

Similarly;

5/10 = sin 60°

sin 60° = ½

Also;

tan 60 = (5√3)/5

tan 60 = √3

Also;

sin 30 = 5/10

sin 30 = ½

Looking at the options, the only correct one is Option C

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Answers

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Answers

Answer:

It is possible.

Step-by-step explanation:

Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem
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