which of the following transformations always create congruent figures?

select all the correct answers:
- reflections
- dilations
- rotations
- translations

Answer:

C

Step-by-step explanation:

The congruency statement ∠ C ≅ ∠ G  is the only true statement.

So option C is the correct option.

Given,

parallelogram ABCD ≅ parallelogram EFGH

We need to see the properties of parallelograms and make each property congruent to each other and see which of the options given is true.

The given options are:

A. ∠B≅∠E

B. BC≅GH

C. ∠C≅∠G

D. AD≅EF.

It is a quadrilateral that has two pairs of parallel sides and the opposite angles are equal.

Properties of a parallelogram :

- The opposite sides are parallel and congruent.

- The opposite angles are equal.

- The consecutive angles are supplementary.

- If any one of the angles is a right angle, then all the other angles will be at    

 a right angle.

- The two diagonals bisect each other.

So if we compare two parallelograms the above properties are congruent.

Let's draw the two parallelograms ABCD and parallelogram EFGH.

 A____________ B                    E____________F

   \                            \                       \                         \

     \                            \                       \                         \

       \                            \                        \                         \

        D_____________C.                   H____________G

The following are congruent:

AB≅EF

BC≅FG

CD≅GH

AD≅EH

∠ A ≅ ∠ E

∠ B ≅ ∠ F

∠ C ≅ ∠ G

∠ D ≅ ∠ H

Checking the above congruent we see that we have  ∠ C ≅ ∠ G in the given option.

Thus, ∠ C ≅ ∠ G is the only correct option.

Learn more about parallelogram here:

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Answer:

Step-by-step explanation:

(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064

the answer is D

Answer: x=8

Step-by-step explanation:

3(x-2) =18

3(8-2) =18

24-6    = 18

     18   =  18

Answer:

6 ft

Step-by-step explanation:

The length is (3 × width) + 6,

And the length is 24

If you take 6 away from the length, it will be 18, because 24 - 6 = 18

And then the length is also 3× the width (+6 - we've already done this part) so if you divide 18 by 3 you will get 6 ft as the answer

hope this helps x

Answer:

independent

Step-by-step explanation:

We put the independent variable on the x axis ( or horizontal)  and the dependent variable on the y axis ( or vertical)

Answer:

independent

Step-by-step explanation:

Answer:

The final outside temperature = -6°

Step-by-step explanation:

GIven that :

the outside temperature = -13°

The temperature drops by 9°

But then increases by 16°.

The final temperature can be expressed as:

the outside temperature - temperature drop

= -( 13° - 9°)

= - 22°

it is said that the temperature later increase by 16°

∴  - 22° + 16°

= -6°

The final outside temperature = -6°

Answer:

see below

Step-by-step explanation:

5.

VW = 4x - 20

UW = 6X - 35

UV = 19

find x to get UW

UV + VW = UW

19 + 4x - 20 = 6x - 35

x = 17

VW = 4(17) - 20

VW = 48

UW = 6(17) - 35

UW = 67

----------------------------------------------------

6.

HJ = 7x - 27

HI = 3x - 5

IJ = x - 1

find the value of x

HI + IJ = HJ

3x - 5 + x - 1 = 7x - 27

x = 7

----------------------------------------------------

7.

BC = 4x - 29

CD = 5x - 9

BD = 7x - 10

find each value

BC + CD = BD

4x - 29 + 5x - 9 = 7x - 10

x = 14

BC = 4(14) - 29

BC = 27

CD = 5(14) - 9

CD = 61

BD = 7(14) - 10

BD = 88

----------------------------------------------------

8.

BD = BC

BD = 5x - 26

BC = 2x + 1

AC = 43

find AB

BD = BC

5x - 26 = 2x + 1

x = 9

AB + BC = AC

AB + 2(9) + 1 = 43

AB = 24

----------------------------------------------------

9.

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

KJ = 28

find LJ

MK + KN = MN

7x - 10 + x + 3 = 9x - 11

x = 4

KJ + LK = LJ

28 + 7(4) - 10 = LJ

LJ = 46

Answer:

4 years

Step-by-step explanation:

As 4*8 is 32

So 144+32 is 176

And 5*4=20

108-20 is 88

88*2 is 176

Answer:

-2

Step-by-step explanation:

Opening brackets,

-3+1=-2

Answer:

-2

Step-by-step explanation:

3 - 1 = 2

so it's basically adding 1 to the -3 so it would be -2

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5x-4+3x=36[/tex]

Combine like terms:

[tex]8x-4=36[/tex]

Add 4 to both sides. The left side cancels:

[tex](8x-4)+4=(36)+4\\8x=40[/tex]

Divide both sides by 8:

[tex](8x)/8=(40)/8\\x=5[/tex]

Thus, the value of x is 5.

Answer:

The value of x=5

Step-by-step explanation:

1) 5x-4+3x=36

2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40

3) (Combine like terms, 5x and 3x) 8x=40

4) (Solve: divide each side by 8) x=40

5) answer: 5

I hope this helps let me know if I am wrong and good luck

Answer:

It is a rational integer.

Step-by-step explanation:

'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].

It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.

Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.

'-3' is a rational number and an integer.

Hope this helps.

Answer:

I could be wrong on this BUT

Step-by-step explanation:

4x+10=30

-10=-10

4x = 20

x= 5

Answer:

ABC = 36 , DBC = 44

Step-by-step explanation:

(7x+2) + (7x -6) = 8=

14x -4 = 80

14x = 84

x = 6

Answer:

Step-by-step explanation:

y= -6x+4 is in y=mx +b

[tex]y= -6x+4 \\Slope =m = -6[/tex]

Answer:

41.9

Step-by-step explanation:

Add 31.5 and 10.4 on a sheet of paper.

Your answer will be 41.9.

So, the answer is 41.9.

Hope it helps!

Answer:

41.9m Or maybe 41.1m.

Step-by-step explanation:

It works with subtraction and a lil bit of addition.

0.5 + 0.4 = 0.9. Or maybe 0.5 - 0.4 = 0.1?

31 + 10 = 41.

So the answer is 41.9m

(Hope this helped you! <3)

Answer:

3

Step-by-step explanation:

sqrt9 = 3

Answer:

"Which number has a 2 with a value ten times less than the 2 in the number 725,983?"

First, the value of the 2 in the number 725,983 can be find by separatig each digit as:

725,983 = 700,000 + 20,000 + 5,000 + 900 + 80 + 3.

Then the value of the 2 is: 20,000.

Now we want a number that has a 2 with a value then times less than 20,000.

this is:

20,000/10 = 2,000.

Then we want a number that has a 2 in the thousands place.

For example, 132,000 is a number that can be an answer, the only thing you need is that the 2 is in the thousands place (the fourth digit counting from the right)

Answer:

Subtract from the dividend an easy multiple of the divisor (e.g. 100x, 10x, 5x, 2x). Record the partial quotient in a column to the right of the problem. Repeat until the dividend has been reduced to zero or the remainder is less than the divisor. Add the partial quotients to find the quotient.

Step-by-step explanation:

Describe how to divide using partial quotients^^

Your question is incomplete; However, a similar question is:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

This should serve as a guide

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]AB = x[/tex]

[tex]BC = 2x + 2[/tex]

[tex]AC =14[/tex]

Required

Determine x, AB and BC.

Since B is between A and C;

[tex]AB + BC = AC[/tex]

Substitute x for AB; 2x + 2 for BC and 14 for AC

[tex]x + 2x + 2 = 14[/tex]

[tex]3x + 2 = 14[/tex]

Collect Like Terms

[tex]3x = 14 - 2[/tex]

[tex]3x = 12[/tex]'

[tex]x = \frac{12}{3}[/tex]

[tex]x = 4[/tex]

Substitute 4 for x in

[tex]AB = x[/tex]

[tex]BC = 2x + 2[/tex]

[tex]AB = 4[/tex]

[tex]BC = 2(4) + 2[/tex]

[tex]BC = 8 + 2[/tex]

[tex]BC = 10[/tex]

Answer:

[tex]832 \sqrt{13} [/tex]

Step-by-step explanation:

This question means

[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]

Lets solve it in simplest way

[tex](4 \sqrt{13} {)}^{3} [/tex]

[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]

[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]

[tex]64 \times 13 \times \sqrt{13} [/tex]

[tex]832 \sqrt{13} [/tex]

I hope u like it ‍❤️‍

cooment me for any question

Q1

Answer:

[tex]x \leqslant \frac{5}{3} [/tex]

Step-by-step explanation:

[tex]3x \leqslant 5 \\ 3x \div 3 \leqslant 5 \div 3\\ x \leqslant \frac{5}{3} [/tex]

explanation for second step:

you divide each side by 3 to get rid of the '3' in '3x'

Answer:

1 muffin each

1/2 of a muffin

Step-by-step explanation:

if there are 18 and there are 12 people each person would get 1 and u would have 6 leftover.

they would get 1/2 because if she made 18 and splits each one evenly she would have 36 pieces of muffin and there are 36 people.

A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}

B. {(-3,1), (4,2), (3,-1), (2,-4)}

C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}

D. {(3,-2), (-3,2), (5,-2), (-1,-1)}

Function is something like domain mustn't have the same value in a single set. For example,

{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)

{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.

For the A, It's not function because of (2,1) and (2,3)

For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)

For the C, Not function because of (4,2) and (4,-1)

For the D, it's function.

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

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Answer:

18 people

Step-by-step explanation:

count the x's over the 1, 2, 3, 4, and 5 dashes

1 = 3 people

2 = 5 people

3 = 3 people

4 = 4 people

5 = 3 people

3 + 5 + 3 + 4 + 3 = 18

Answer:

19 people not 18

Step-by-step explanation:

Answer:

The answer is -80.

Step-by-step explanation:

First, you need to multiply 12x4.

-72+12x4/(-6)

-72+48/(-6)

Now, we divide 48/-6. (Using P.E.M.D.A.S)

-72+48/-6

-72+-8

Finally, we add the negatives.

This gives us... -80 as your answer.