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3 years ago

How do you describe a sequence of rigid motions?

Mathematics

1 answer:

Burka [1]3 years ago

8 0

See the explanation

<h2>Explanation:</h2>

Rigid motions are transformations we perform on a figure in order to move it without changing the size or shape of it. They are also called <em>congruence transformations </em>because we can map one figure onto other figure so they will maintain every condition in order to be congruent.

Rigid motions are the following:

Reflections: Here we reflect the figure across a line
Translations: Here we move the figure either horizontally or vertically
Rotations: Here we turn the figure either counterclockwise or clockwise.

So sequence of rigid motions could be any combination we get from the mentioned transformations. For instance:

Perform the transformation of triangle ΔABC following this sequence:

1. Translate the figure 2 units right and 4 units down

2. Reflect the figure across the x-axis

3. Rotate the figure 90 degrees in clockwise direction

<h2> Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

#LearnWithBrainly

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5x - y + z = -6<br> 2x + 7y + 3z = 8<br> x + 2z = 6

BabaBlast [244]

Answer:

Step-by-step explanation:

The system of equations given are:

5x - y + z = -6 ------------- i

2x + 7y + 3z = 8 ---------- ii

x + 2z = 6 ----------------- iii

Let us deal with equation i and ii first since they have 3 variables x, y and z;

5x - y + z = -6 x 7

2x + 7y + 3z = 8 x 1

35x - 7y + 7z = -42 ---- iv

2x + 7y + 3z = 8 ---- v

Add equation iv and v;

37x + 10z = -34 ------vi

So, let us solve equation vi and iii:

x + 2z = 6 - ---------- iii x 10

37x + 10z = -34 --- iv x 2

10x + 20z = 60 vi

74x + 20z = -68 vii

Subtract vi - vii;

-64x = 128

x = -2

So; put x = -2 into iii;

x + 2z = 6

-2 + 2z = 6

2z = 6 + 2 = 8

z = 4

Put x = -2 and z = 4 into equation i;

5(-2) - y + 4 = - 6

-10 -y +4 = -6

-6 - y = -6

-y = 0

y = 0

5 0

2 years ago

Find X and the measure of each angle

Taya2010 [7]

Answer:

x = 68

Step-by-step explanation:

sum of interior angles of 5-sided figure is 3(180°) or 540°

5x + 200 = 540

5x = 340

x = 68

5 0

2 years ago

Keeping the properties of exponents in mind to what power must your raise the expression 7 1/2 to get 7 as a result

exis [7]

Answer:

x=2

Step-by-step explanation:

(7^ (1/2))ˣ = 7¹

1/2 *x =1

x =2

3 0

3 years ago

Jackie won tickets playing the bowling game at the local arcade. The first time, she won 60 tickets. The second time, she won a

Fynjy0 [20]

Answer: i'm pretty sure she got 35 the second time. hope this helps

4 0

2 years ago

You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how many

REY [17]

What will the radius of your cake be?

This is a problem of geometry. Given that the cake is circular, the greater the cake the greater the radius of it. So, as shown in the figure 1, the radius will be the distance from the center to any extreme point of the circle.

How many slices will you be able to cut?

The total area of a circle is given by:

$A= \pi r^{2}$

We need to fin how many slices will be cut, so let's calculate the area of the circular sector which can be obtained simply applying rule of three, so:

$A_{cs}= \pi r^{2}( \frac{\theta}{2\pi})= \frac{r^{2}\theta}{2}$

Let's name n the number of slices, if we divide the total area by n this result, each area must equal, then:

$\frac{\pi r^{2}}{n}=\frac{r^{2}\theta}{n}$

Finally, we will be able to cut:

$n= \frac{2\pi}{\theta}$ Slices

7 0

3 years ago