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alex41 [277]
3 years ago
13

HELP ME PLEASE !

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Let me start from the meaning of the term polygon.A polygon is a simple closed curve made up of three or more line segments.

Now coming to the meaning of term Rigid transformation ,It is either rotation,either Reflection,or Translation or combination of all these three.

The length of the sides of any polygon will not change i.e after rigid transformation shape and size of an object does not change.

So yes if two polygons are congruent ,they can always be mapped onto one through a series of rigid transformation i. Reflection,Rotation, or translation or combination of these.

Reflection takes place through a line.While Rotation means rotating a polygon through any angle, and translation means changing the coordinates of the polygon i.e certain integral value. You can Rotate the shape by any angle,and while translating you have to change the coordinate of each vertices by the same integral value.

In Reflection distance of the image from the line above or below is same.In rotation if you are rotating a polygon by an angle 0f 30° or 60° or 180°,the shape and size does not change but you are just rotating the shape. And in transformation you just take the shape or polygon by changing certain distance or when we consider two dimensional plane then by changing its coordinates without changing its shape and size.

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3 years ago
What is sin 45°?<br> Lol I need help
Dahasolnce [82]

Answer:

1/ √2

Step-by-step explanation:

Here, we want to get the value of sin 45

Mathematically the sine is the ratio of the opposite to the hypotenuse

The opposite here is 1 while the hypotenuse is

√2

so the value of sin 45 will be;

1/ √2

6 0
3 years ago
A piece of copper tubing is in the shape of a hexagonal prism. The area of the base of the prism is 3 square centimeters. The vo
Evgen [1.6K]

Answer: 17 cm

Step-by-step explanation:

For a regular figure where the area of the base is B, and the height is H, the volume is calculated as:

V = B*H

Here we know that the base of the prism is B = 3 cm^2, and the volume of the prism is 51 cm^3

Then:

B = 3cm^2

V = 51cm^3

If we replace those in the equation above, we get:

51 cm^3 = (3cm^2)*H

Solving this for H gives:

(51 cm^3)/(3 cm^2) = H = 17 cm

The height of the tubing is 17 cm

7 0
3 years ago
1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
tia_tia [17]

Answer:

A 90

Step-by-step explanation:

multiple ways to prove this.

e.g. since the angle between the two lines from the center of the circle to the 2 tangent touching points is 90 degrees (that is the meaning of these 90 degrees here as the angle of the circle segment defined by the 2 tangent touching points and the circle center), the tangents have the same "behavior" as tan and cot = the tangents at the norm circle at 0 and 90 degrees. they hit each other outside of the circle again at 90 degrees.

another way

imagine the two right triangles of the tangents crossing point to the circle center and the tangent/circle touching points.

the Hypotenuse of each triangle is cutting the 90 degree angle of the circle segment exactly in half (due to the symmetry principle). so the angle between radius side and Hypotenuse is 90/2 = 45 degrees.

that means also the angle of such a right triangle at the tangent crossing point is 45 degrees (as the sum of all angles in a triangle must be 180, we have the remainder of 180 - 90 - 45 = 45 degrees).

the angles of both right triangles at that point are the same, and so we can add 45+45 = 90 degrees for the total angle at the tangent crossing point.

8 0
3 years ago
Nick decided to take 2/5 of the money in his bank account and donate it to a local charity. If nick donated $70 to a local chari
S_A_V [24]

Answer:

<u> The total amount = $175</u>

Step-by-step explanation:

Let the total amount in his bank account = x

Nick decided to take 2/5 of the money in his bank account and donate it to a local charity

So, he donates with \frac{2}{5} x

If nick donated $70 to a local charity

so, \frac{2}{5} x = 70

solve for x

∴ x = 5*70/2 = 350/2 = $175

<u>So, The total amount = $175</u>

3 0
3 years ago
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