What is the correct answer?

A rigid transformation is one in which the distance between pairs of points

are preserved, and the image and preimage have the same dimensions.

Reasons:

The vertices of the trapezoid GHIZ are G(0, 0), H(-1, 2), I(3, 2), and J(2, 0)

The given transformations are;

1. GHIJ is reflected in the x-axis and the image is reflected in the y-axis

The above transformation is a double reflection.

2. GHIJ is rotated about the origin 90° counterclockwise. The resulting

image is translated up 2 units.

3. GHIJ is dilated by a scale factor of [tex]\mathbf{\frac{1}{2}}[/tex], with the center of dilation at the

origin. The resulting image is translated 2 units left.

Required:

The transformations that produce an image that is congruent to the given figure:

Solution:

Two figures are congruent if they have the same size and shape.

With the given figure being the trapezoid GHIJ, we have that a

transformation that will give an image that is congruent to the preimage

which is the trapezoid GHIJ is a rigid transformation.

Rigid transformations are;

The combinations of transformation given within the scenario that consists

of only rigid transformations are scenario 1 and scenario 2.

Therefore, the correct option is; Numbers 1 and 2.

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Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Answer: x = 13, Angle ABE = 51°

Step-by-step explanation:

Since angle ABC is 90° and angle EBC is 39°, subtract them.

90° - 39° = 51°

This means that angle ABE equals 51°. Plug in 51° as the y in the equation y = 3(x+4).

51 = 3 (x + 4)

Multiply 3 by x and 4.

51 = 3x + 12

Subtract both sides by 12.

39 = 3x

Divide both sides by 3.

x = 13

Answer:

x is 15.0

Step-by-step explanation:

We can use pythagorus theorum to find the missing side of the triangle.

a² = b² + c²

a² is the longest side of the triangle, so a= 8.

b² (or you can even take c²) is one of the two sides, so b= 3

We have to find  c². So make c² the subject of the equation.

c² = a² - b²

c² = 8² - 3²

c² = 64 - 8

c² = 56

∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)

Now we can assume that c is half of x.

So x = 7.48 + 7.48 = 14.96

∴ x = 15.0 (to the nearest tenth).

Answer:

B

if f(x-4) then we should put x-4 where the x is spouse to be so;

-2(x-4)-1 =

-2x + 8 - 1 =

-2x + 7

Answer:

[tex]\frac{12}5[/tex]

Step-by-step explanation:

The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]

We know

[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

Now

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]

[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]

Answer:

It is the fourth one.

Step-by-step explanation: You use it to find it to see if it is a right triangle.

Answer:

21:20

Step-by-step explanation:

Since there are 20 cars with sunroof

Subtract 20 from 41

and you get 21 which are the cars with no sunroof

making it 21:20

Answer: 21 : 20

Step-by-step explanation: Since the factory made 41 cars and 20 of them had a sunroof that means x = 41 -20. So 41 - 20 = 21 cars without sunroof. They ask to put the ratio with cars without sunroof first then cars with a sunroof so it would be 21 : 20.

(x = cars without sunroof)

Answer:

3 < r

Step-by-step explanation:

167<6+7(2+7r)

distribute the 7 to the 2 and 7r

7 * 2 = 14 and 7 * 7r = 49r

167 < 6 + 14 + 49r

combine like terms: 6 + 14 = 20

167  < 20 + 49r

subtract 20 from both sides

147 < 49r

divide both sides by 49

3 < r

Answer: 60%

Step-by-step explanation: if the question is saying the item was already 40% an ADDITIONAL (adding) 20% will make the item 60% off meaning your percentage of savings is 60%

Answer:

[tex](4+4n)+(7+2a) = 11+4n+2a[/tex]

Step-by-step explanation:

The margin of error of the random selection is 0.29

The given parameters are:

[tex]n = 320[/tex] --- the sample size

[tex]\sigma = 2.9[/tex] --- the standard deviation

[tex]\bar x = 24[/tex] --- the mean

[tex]\alpha = 90\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]

[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]

The z-value for 90% confidence level is 1.645.

Substitute 1.645 for z

[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]

[tex]E = 1.645 \times \sqrt{0.032}[/tex]

Take square roots

[tex]E = 1.645 \times 0.1789[/tex]

Multiply

[tex]E = 0.2943[/tex]

Approximate

[tex]E = 0.29[/tex]

Hence, the margin of error is 0.29

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Answer:

f(x)=12(1.2)x

Step-by-step explanation:

Answer:

Third option: (0,-5) and (-4,3)

Step-by-step explanation:

x^2 + y^2 = 25

2x + y = -5

y = -5 - 2x

x^2 + (-5-2x)^2 = 25

x^2 + 25 + 20x + 4x^2 = 25

5x^2 + 20x + 25 = 25

5x^2 + 20x = 0

5x(x+4) = 0

5x=0 --> x=0

x+4=0 --> x=-4

2(-4) + y = -5

-8 + y = -5

y = 3 --> (-4,3)

2(0) + y = -5

0 + y = -5

y = -5 --> (0,-5)

Therefore, the solutions to the system of equations are (0,-5) and (-4,3)

Answer:

if you mean 12-5=12 this answer is x=144

here is the step by step explanation.

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x/12-5-(7)=0

Step by step solution :

STEP

1

:

x

Simplify ——

12

Equation at the end of step

1

:

x

(—— - 5) - 7 = 0

12

STEP

2

:

Rewriting the whole as an Equivalent Fraction :

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

5 5 • 12

5 = — = ——————

1 12

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x - (5 • 12) x - 60

———————————— = ——————

12 12

Equation at the end of step

2

:

(x - 60)

———————— - 7 = 0

12

STEP

3

:

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 12 as the denominator :

7 7 • 12

7 = — = ——————

1 12

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

(x-60) - (7 • 12) x - 144

————————————————— = ———————

12 12

Equation at the end of step

3

:

x - 144

——————— = 0

12

STEP

4

:

When a fraction equals zero :

4.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

x-144

————— • 12 = 0 • 12

12

Now, on the left hand side, the 12 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

x-144 = 0

Solving a Single Variable Equation :

4.2 Solve : x-144 = 0

Add 144 to both sides of the equation :

x = 144

One solution was found :

x = 144

Answer: x = 11

Step-by-step explanation:

You didn't state what you needed for these problems so I'm going to assume you need to solve for X.

1st Equation:

3x - y = 23 --> y = 3x - 23

2nd Equation:

2x + 3y = 8 --> (3y = 8 - 2x)/3 = y = 8/3 - 2x/3

Set Equations = to Each other

3x - 23 = 8/3 - 2x/3 --> 3x - 2x/3 = 8/3 + 23

9x/3 - 2x/3 = 8/3 + 69/3 --> 7x/3 =77/3

7x/3 X 3/7 = 77/3 X 3/7

x = 11

If you need to solve for y as well plug the x value back into the original equation and solve.

Answer:

Tan 70 = opp/adj

Tan 70 = x/6

multiply by 6 on both sides

16.5 = x

Answer:

Well, I think this is correct:

Well, if we know that a and b are parallel, that means they have the same slope but different y-intercept.  So, if c and a intersects, then c and b are bound to intercept, because when c intersects with a, it will also cross b, since it will be going in the same route...which will make it also intersect with b. (crossing.)

Sorry if I'm wrong.

Hope this helps! :)

The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic equation is given below.

x² + 7x - 18 = 0

Factorize the quadratic equation, then we have

x² + 7x - 18 = 0

x² + 9x - 2x - 18 = 0

x(x + 9) - 2(x - 9) = 0

(x + 9)(x - 2) = 0

x = 2, -9

The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.

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Answer:

no because r is a varible that dont have number

The correct expression of  r less than 52 is r<52.

An expression is combination of variables, numbers and operators.

The given expression is r less than 52

We have to write in the form of inequality

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The less than represents the relationship between r and 52

In the given expression r is the variable

r<52 is the required expression or inequality

Hence, the correct expression of  r less than 52 is r<52.

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Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

Answer:

In short, Your Answer would be either 1 or 7

Step-by-step explanation:

|4x + 12| = 16

As it is in modulus function, it could be either +ve or -ve

4x+12 = 16   OR   4x - 12 = 16

4x = 16-12    OR   4x = 16 + 12

4x = 4           OR   4x = 28

x = 4/4     OR  x = 28/4

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

Answer:

-2x+y=12

Step-by-step explanation:

linear equation

Answer:

Step-by-step explanation:

Conclusion:

Therefore, after 20 years, Mrs. Hill is owed:

Hoped this helped.

[tex]GeniusUSer[/tex]

Answer: [tex]1.50x+3.50\leq 30[/tex]

Step-by-step explanation:

x represents how many miles after the pick-up. we add on 3.50 because that is the intial pick-up price. then the cost has to be under 30 because she only has 30 dollars

[tex] \: \: \: [/tex]

[tex]a = - 2b \: + \: p[/tex]

refer to the attachment for explanation

Take 2b to left sign turns negative

Option A

Answer:

y=-6/5x

Step-by-step explanation:

Answer:

$9.16

Step-by-step explanation:

55/6=9.16