Quadrilateral A' B'C'D' is the image of quadrilateral ABC D under a translation.

The values of A, B, and C are  mathematically given as

This is further explained below.

Generally, the equation for the statement is  mathematically given as

AB + C = 52

AB+ (C x 10) = 97....1

Using the substitution technique we have

AB = 52- C ....2

Subbing 2 in 1

AB+ (C x 10) = 97

Therefore

52- C +  10C = 97

9C=97-52

9C=45

C=5

In conclusion,

AB = 52- C

AB = 52- 5

AB=48

A=48/B

Hence

B=48/A

Read more about  values

https://brainly.com/question/1578158

#SPJ1

If we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour,then we would need 38 number of cups.

Given that we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour.

We are required to find the number of cups that are needed.

Fraction is the combination of two numbers,one above the division sign and other one below the division sign. The number which is above the division sign is known as numerator and the number which is below the division sign is known as denominator.

Measuring cup=1/3

Number of cups needed in recipe=12+2/3=38/3

Number of cups needed=38/3/1/3

=38 cups

Hence if we have a 1/3 measuring cup and a recipe calls for 12 and 2/3 cups of flour,then we would need 38 number of cups.

Learn more about fraction at https://brainly.com/question/17220365

#SPJ9

The product of 84.12 and 19.3 will have three decimal places.

Here, we are given a number 84.12. As we can see this number has 2 decimal places. We need to find a number such that when it is multiplied by 84.12, the result has 3 decimal places.

Let us look at each option one by one,

1. 4.22

4.22 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

2. 10.51

Again, 10.51 has 2 decimal places and hence if we we multiply it by 84.12, it will give us 4 decimal places. Thus, it is not the correct option.

3. 14.163

14.163 has 3 decimal places and hence if we we multiply it by 84.12, it will give us 5 decimal places. Thus, it is not the correct option.

3. 19.3

19.3 has 1 decimal place and hence if we we multiply it by 84.12, it will give us 2 decimal places. Thus, 19.3 is the correct option.

Learn more about decimals here-

https://brainly.com/question/28338004

#SPJ9

Your question was incomplete. Check for full content below-

The product of 84.12 and which number will have three decimal places? 4.22

10.51

14.163

19.3

Answer: -21

Step-by-step explanation:

Answer:

Tara makes 7x =7*15 = 105 crafts and Katie made 9x = 9*15 = 135 crafts.

Step-by-step explanation:

Crafts tara and katie make resoectively are in the ratiob 7:9. Let's say 7x and 9x.

Now,

7x + 9x = 240

so, x = 240/16

so, x = 15

Answer:

1. A = {x:x is the set of natural number <= 10}

2. E = {x:x is the set of natural number <= 8}

Answer:

The value of x = 17

Step-by-step explanation:

=> 4x + 2 = 70°

=> 4x = 70 - 2

=> 4x = 68

=> x = 68/4

=> x = 17

Answer:

x=-119

Step-by-step explanation:

[tex]4x-6x=238[/tex]
[tex]-2x=238[/tex]
[tex]\frac{-2x}{-2}=\frac{238}{-2}[/tex]
[tex]x=-119[/tex]

Answer:

Domain: [-2, infinity)

Range: [-4, infinity)

Step-by-step explanation:

There's only one graph I see.

Domain is how far the graph extends on the x axis.

Range is how far the graph extends on the y axis.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming}[/tex]

[tex]\mathsf{\dfrac{2}{3} + 6}[/tex]

[tex]\huge\textbf{If so:}[/tex]

[tex]\mathsf{\dfrac{2}{3} + 6}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{6}{1}}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{6\times3}{3\times1}}[/tex]

[tex]\mathsf{= \dfrac{2}{3} + \dfrac{18}{3}}[/tex]

[tex]\mathsf{= \dfrac{2 + 18}{3 - 0}}[/tex]

[tex]\mathsf{= \dfrac{20}{3}}[/tex]

[tex]\mathsf{= 6 \dfrac{2}{3}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{20}{3}\ or\ 6 \dfrac{2}{3}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The solution interval for x is x ∈ (-1/4 , ∞)

An inequality shows the relationship of a non-equal comparison between two numbers or mathematical expressions.

Here, we are given two inequalities

x/4 > -1 and -4x - 4 < -3

Let us take the first equation

x/4 > -1

⇒ x > 4(-1)

x > -4

Now, the second equation

-4x - 4 < -3

-4x < -3 + 4

-4x < 1

Now since we are dividing both sides by a negative number, that is 4, the sign of the inequality will be reversed,

x > 1/-4

x > -1/4

Thus, we get x > -4 and x > -1/4

This means that all values of x greater than -1/4 will satisfy.

Thus, x ∈ (-1/4 , ∞)

Learn more about inequalities here-

https://brainly.com/question/25275758

#SPJ9

Answer:

(-8,-2)

Step-by-step explanation:

f(-x) - 5 is horizontally reflected and moved down 5 units  from f(x)

So first reflecting we get
(-8,3)
Then moving down 5 units we get
(-8.-2)

if this was helpful pls give me brainliest <3

Answer:

15, 16 and 17

Step-by-step explanation:

Consecutive numbers mean numbers that are separated by 1 from each other. For example 5, 6 and 7 are three consecutive numbers and 5 is the smallest

Let the smallest number be x
Then the next consecutive number is x + 1  
The next one after that is x + 2

Sum = x + x + 1 + x + 2 = x + x + x + 1 + 2 = 3x + 3

We are told that this sum is 33 more than the smallest number x

So 3x+3 = x + 33 Subtract x from both sides
3x - x + 3 = x + 33 -x
==>  2x + 3 = 33

Subtract 3 from both sides
==> 2x + 3 - 3 = 33 -3
==> 2x = 30
Divide both sides by 2

==> 2x/2 = 30/2
==> x = 15

So the smallest number is 15 and the three numbers are 15, 16 and 17

Verify by adding 15+16 +17 = 48
15 + 33 = 48 so consistent

A: The three consecutive numbers are 15, 16, 17.

Explanation:

Let x, y, z be the numbers.

x + y + z = x + 33

y = x + 1

z = x + 2

We will solve this system of equations using the substitution method.

x + x + 1 + x + 2 = x + 33

x + x + x - x = 33 - 1 - 2

2x = 30

x = 15

y = 15 + 1 = 16

z = 15 + 2 = 17

Solving for x + y + z = x + 33:

15 + 16 + 17 = 15 + 33

48 = 48

A: 15, 16, 17.

complementary angles m < DFG = 48, m < JKL =  42 is value of x .

What is the opposing angle to the above example?

Complementary angles are those whose combined angle is exactly 90 degrees. 30 degrees and 60 degrees, for instance, are complimentary angles.

∠DFG and ∠JKL are complementary angles. m∠DFG = x + 5,

and m∠JKL = x − 1

When two angles are complementary then the sum of angles is 90 degrees

∠DFG and ∠JKL are complementary angles.

So m < DFG < + m < JKL = 90

Now replace the expressions and solve for x

x + 5 +x - 1 =90

2x + 4 = 90

2x = 90 - 4

2x = 86

 x = 43

Now replace x with 43 and find out each angle

m < DFG  = x + 5

m < DFG  = 43 + 5 = 48

m < DFG = 48

m < JKL = x - 1 = 43 - 1 = 42

m < DFG = 48

m < JKL =  42

Learn more about complementary angle

brainly.com/question/5708372

#SPJ9

Answer: 15

Step-by-step explanation:

order all the numbers from least to greatest and then find the one in the middle

Answer: 72

Step-by-step explanation: First step that I did was to subtract 12 and 4 to get 8. I then subtracted 3 and 2 to get 1. Then since 8 and 1 are in the parenthesis, I multiplied 8 and 1 to get 8. 8 to the 2nd power then comes out to 64. 64 adding the square root of 64 which is 8 then comes out to 64 plus 8 because the square root of 64 is 8. 64 plus 8 equals 72.

Answer: (-4,7)

Step-by-step explanation:

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.

High sample size is typically crucial in order to be able to draw generalizations from a sample, aside from avoiding bias. Since the sample size is modest, it will thus be possible to draw general conclusions about the study utilizing a larger sample, in my opinion.

The size of the sample has a significant impact on whether an experiment is legitimate. The central limit theorem states that as sample size rises, the sample mean approaches the population means value.

Because of this, generalizing from just five samples regarding a population of city dwellers won't produce a result that can be generalized.

Learn more about mean here:

https://brainly.com/question/1136789

#SPJ9

Answer:

The only answer is 46.3. I'm not sure whether or not you mixed up one of the decimals, but this is the only answer out of the others.

I hope this helps.

The number 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸. As a result, option A is right and the other choices are false.

A fraction is a number that, when stated mathematically, designates a component of a whole. A fraction is a portion or division of any whole, which could be any number, a specific sum, or an actual object.

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

There are several types of fractions, some of them are :

According to the question,

(6.945 × 10¹⁰) / (1.5 × 10⁸)

= 463

Hence, it is concluded that 6.945 × 10¹⁰ is 463 times more than 1.5 × 10⁸.

To get more information about Fraction :

https://brainly.com/question/10354322

#SPJ5

Answer: 1e-16

Step-by-step explanation:

Steps

(x)n =  (10)-16

=  

1

10 x 10 x .... x 10

=  

1

10000000000000000

=  1e-16

Answer:

4/x = 5/21.98 ; x=17.584

Step-by-step explanation:

subes la x al otro lado , multiplicas el 21.98 con el 4 y luego lo divides entre 5, así resulta q x es igual a 17.584

Answer:

ehuyqkqbdksjs

usual

Menem

Menem.nsmsm.

sus

meme

meme

Answer:

0.064

Step-by-step explanation:

To convert just muiltiply the percent by 100.

Answer:

The slope of the line is -1.

We can find this by using the slope formula, where [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. Substitute in our points; [tex]\frac{7-4}{6-9} =\frac{3}{-3}[/tex]. Remember that a negative in either the numerator or the denominator of a fraction makes the entire fraction negative, so [tex]\frac{3}{-3}=-\frac{3}{3}[/tex] Remember that an identical numerator and denominator is equal to 1. Same rule applies here, except it's negative, so the slope of the line is -1. You can see this in action if you were to use a graphing tool. I recommend checking out desmos graphing calculator.

We need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

Let the amount of 28 % sugar solution be x ml.

We are given that:

10 % sugar solution = 75 ml

Total solution = 75 ml + x ml

We need the solution to be 13 % sugar solution.

So, we get that:

28 % x + 10 % ( 75 ) = 13 % ( 75 + x )

28 x + 750 = 13 ( 75 + x )

28 x + 750 = 975 + 13 x

28 x - 13 x = 975 - 750

15 x = 225

x = 225 / 15

x = 15

Therefore, we need to mix 15 ml of 28 % of solution to get the resulting mixture as a 13 % sugar mixture.

Learn more about mixture here:

https://brainly.com/question/24647756

#SPJ9

Answer:the heart and planet are the only ones

Step-by-step explanation:

the clover looks like maybe but the stem is curved. the planet the line goes verticle through the rings

Transfomation using X and Y co-odrinate points

K(-3,2) , L(-4,3), M(-3,3), N(-1,2) → K'(0,2) , L'(-1,3) , M'(0,3), N'(2,2)

What is a transformation ?

Transformations of co-ordinates can be calculated by taking reference from the original figure to the transformed figure by adding or subtrating the point values depending upon where they have transformed in X and Y co-ordinate.

In the given figure there are 4 points  K,L,M,N and they have been transformed to  K', L',M',N' each point having X and Y co-ordinate values.

K has moved 3 units right so 0

L has moved 3 units right so  -1

M has moved 3 units right so 0

N has moved 3 units right so 2

      K(-3,2) , L(-4,3), M(-3,3), N(-1,2) → K'(0,2) , L'(-1,3) , M'(0,3), N'(2,2)

learn more of transformation here      https://brainly.com/question/24871290

#SPJ9  

Answer:

  19 seconds

Step-by-step explanation:

You want to know the time it takes for Juan, running 18 m/s, to overtake Mahdi, running 6 m/s, if Mahdi has a 228 meter head start.

The time to close the gap between the runners will be ...

  time = distance/speed

  time = (228 m)/(difference in speeds) = (228 m)/(18 m/s -6 m/s)

  time = (228 m)/(12 m/s) = (228/12) s = 19 s

It will take Juan 19 seconds to catch Mahdi.

__

Additional comment

The fastest human runner will not exceed 12.3 meters per second, especially over a 300+ meter distance.

Answer:

the measurement of the circumference of a circle is 21