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Mamont248 [21]
3 years ago
8

Design a poster showing the definitions of a translations, reflection, rotation, and symmetry. Include the word (with your own w

ord), and draw picture to show of the transformation the coordinate plan showing all the lines of symmetry for your picture
Mathematics
1 answer:
charle [14.2K]3 years ago
8 0

Answer:

Step-by-step explanation:

Plane shapes in two dimensions (drawn on a flat piece of paper for example) have measurable properties apart from just their physical measurements of side lengths, internal angles and area. They can undergo transformations, whereby they can change position or size, or ‘aspect ratio’ (how tall and thin or short and wide they are).

This page explores congruence, symmetry, reflection, translation and rotation. These concepts are about how a shape’s position changes, relative to a reference, such as a line or a point.

We are faced with these ideas regularly in everyday life, in everything from product design, architecture and engineering, to occurrences in the natural world. Even matching the pattern on a roll of wallpaper involves these geometric ideas.

Congruence

Mathematics is full of complex terminology, but sometimes a complicated term can mean something really simple. This is true for congruence.

Two shapes that are congruent have the same size and the same shape. It’s as simple as that!

In the diagram below, shapes A, B, C and D are all congruent. Shapes E, F, G and H are not congruent.

Read more at: https://www.skillsyouneed.com/num/shape-transformations.html

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The issue of corporate tax reform has been cause for much debate in the United States. Among those in the legislature, 27% are R
Ilia_Sergeevich [38]

Answer:

The probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

Step-by-step explanation:

Let us suppose that,

R = Republicans

D = Democrats

I = Independents.

X = a member favors some type of corporate tax reform.

The information provided is:

P (R) = 0.27

P (D) = 0.56

P (I) = 0.17

P (X|R) = 0.34

P (X|D) = 0.41

P (X|I) = 0.25.

Compute the probability that a randomly selected member favors some type of corporate tax reform as follows:

P(X)=P(X|R)P(R)+P(X|D)P(D)+P(X|I)P(I)\\= (0.34\times0.27)+(0.41\times0.56)+(0.25\times0.17)\\=0.3639

The probability that a randomly selected member favors some type of corporate tax reform is P (X) = 0.3639.

Compute the probability Democrat is selected given that this member favors some type of corporate tax reform as follows:

P(D|X)=\frac{P(X|D)P(D)}{P(X)} =\frac{0.41\times0.56}{0.3639}=0.6309

Thus, the probability Democrat is selected given that this member favors some type of corporate tax reform is 0.6309.

5 0
3 years ago
Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
MrMuchimi

Answer:

-13x-23

Step-by-step explanation:

Given sequence:  x-9, -x-11, -3x-13

Therefore,

  • a_1=x-9
  • a_2=-x-11
  • a_3=-3x-13

General form of an arithmetic sequence: a_n=a+(n-1)d

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}

Therefore,

a_n & =(x-9)+(n-1)(-2x-2)

To find the 6th term, input n = 6 into the equation:

\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}

3 0
2 years ago
Find the value of the variable.
nalin [4]

Answer:

The variable, y is 11°

Step-by-step explanation:

The given parameters are;

in triangle ΔABC;          {}              in triangle ΔFGH;

Segment \overline {AB} = 14         {}               Segment \overline {FG} = 14

Segment \overline {BC} = 27         {}              Segment \overline {GH} = 19

Segment \overline {AC} = 19         {}               Segment \overline {FH} = 2·y + 5

∡A = 32°                       {}                ∡G = 32°

∡A = ∠BAC which is the angle formed by segments \overline {AB} = 14 and \overline {AC} = 19

Therefore, segment \overline {BC} = 27, is the segment opposite to ∡A = 32°

Similarly, ∡G = ∠FGH which is the angle formed by segments \overline {FG} = 14 and \overline {GH} = 19

Therefore, segment \overline {FH} = 2·y + 5, is the segment opposite to ∡A = 32° and triangle ΔABC ≅ ΔFGH by Side-Angle-Side congruency rule which gives;

\overline {FH} ≅ \overline {BC} by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

∴ \overline {FH} = \overline {BC} = 27° y definition of congruency

\overline {FH} = 2·y + 5 = 27° by transitive property

∴ 2·y + 5 = 27°

2·y = 27° - 5° = 22°

y = 22°/2 = 11°

The variable, y = 11°

8 0
2 years ago
Bill used candle molds, as shown, to make candles that were perfect cylinders and spheres.
34kurt

volume cylinder

=3.14×2^2×5

=62.8 cubic inches

volume sphere

=4/3×3.14×2^3

=33.49

difference between cylinder and sphere

=62.8-33.49

=29.31 cubic sphere

8 0
3 years ago
I am about to get my homework done I just need these two. (Thank you if you answer!!)
AnnZ [28]

Answer:

-7=h\\-6.81=q

Step-by-step explanation:

For question #1:

-3=h+8/2\\-3=h+4\\-7=h

For question #2:

q+16.41=9.6\\q=-6.81

8 0
2 years ago
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