Triangle KJL is similar to triangle HGI what is the length of HG

Transformation doesn't depend on the shape of the figure if it has an overlap or not

The transformation \(8d\) can be applied to a figure with overlap or not with overlap.

Transformations are operations on a plane that change the position, shape, and size of geometric figures.

When a geometric figure is transformed,

its new image has the same shape as the original figure.

However,

it is in a new position and may have a different size.

Let's talk about different types of transformations.

Rotation:

It occurs when a shape is turned around a point, which is the rotation center.

Translation:

It moves the shape from one point to another on a plane.

Reflection:

It is an operation that results in the mirror image of the original shape.

Scaling:

The shape is transformed by changing the size without changing its orientation.

Transformation on \(8d\):

In the given problem, the transformation of \(8d\) can be applied to the figure with or without overlap.

This means that \(8d\) transformation doesn't depend on the shape of the figure if it has an overlap or not.

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The triple 50% or 150% of $2000 is $3000.

The quarter of 80 is 40.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

we have to find triple 50% or 150% of $2000.

So, 150 / 100 x 2000

= 3/2 x 2000

= $3000.

Then divided by 10

3000 / 10 = $300

Also, the quarter of 80

= 1/4(80)

= 20

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The translation of the complete question is:

What is triple 50% of $2000 and then divided by 10, how much is half of a quarter of 80?

Answer:

1

best answer ever be amazing

Answer:

14°

Step-by-step explanation:

4x + 32 + 64 = 180 => x = 14 (°)

Probability of randomly choosing a student who is either a boy or scored 80% or higher on the most recent test can be calculated by dividing number of boys or high-scoring students by total number of students.

In a class of 32 students, there are 18 girls and 14 boys. Among them, 11 girls and 9 boys scored 80% or higher on the most recent test. To find the probability of randomly choosing a boy or a student who scored 80% or higher, we need to calculate the number of boys who scored 80% or higher and add it to the number of girls who scored 80% or higher.

The number of boys who scored 80% or higher is 9, and the number of girls who scored 80% or higher is 11. Thus, the total number of students who scored 80% or higher is 9 + 11 = 20. The total number of boys in the class is 14. Therefore, the probability of randomly choosing a boy who scored 80% or higher is 9/14.

Since we are interested in the probability of selecting either a boy or a student who scored 80% or higher, we need to consider the possibility of selecting a girl who scored 80% or higher as well. The total number of girls in the class is 18, and since 11 of them scored 80% or higher, the probability of randomly choosing a girl who scored 80% or higher is 11/18.

To calculate the overall probability, we add the probabilities of selecting a boy who scored 80% or higher and selecting a girl who scored 80% or higher: (9/14) + (11/18) ≈ 0.977, or approximately 97.7%. Therefore, the probability of randomly choosing a boy or a student who scored 80% or higher on the most recent test is approximately 97.7%.

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Answer and Step-by-step explanation: Law of deduction is a mathematical logic that states the following:

1) If p happens, then q happens;

2) p is true;

Then, a there is a third statement that is

3) q is also true.

In this question,

If a polynomial is prime, then it cannot be factored.

Statement p is that 5x + 13y is a polynomial and is prime, i.e., p is true.

Statement q is that "it cannot be factored"

Therefore, 5x + 13y cannot be factored.

The law of detachment is used to confirm or refute a claim.

The true statement is: 5x + 13y cannot be factored

The law of detachment states that; for statements p and q

(1) If p then q

(2) p

If the above statements are true, then the following statement is true

(3) q

The statements in the question can be represented as:

(1) If 5x + 3y is a polynomial and is prime then it cannot be factored

(2) It cannot be factored

Using the above representations of p and q, as an illustration; the third statement would be:

(3) 5x + 3y is a polynomial and is prime

Since the third statement is true, then we can conclude that

5x + 13y cannot be factored

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Answer:

he put in one extra cup:)

Step-by-step explanation:

In general form, the equation is 8x² + 30x - 2x = 0.

In factored form, the equation is 4x(2x + 7) = 0.

To solve the equation 8x² + 30x = 2x, we can rearrange it to bring all the terms to one side:

8x² + 30x - 2x = 0

Combining like terms:

8x² + 28x = 0

Now, let's factor out the common factor of 4x:

4x(2x + 7) = 0

To find the solution set, we set each factor equal to zero and solve for x:

4x = 0 -> x = 0

2x + 7 = 0

2x = -7

x = -7/2

Therefore, the solution set for the equation is {0, -7/2}.

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Answer:

26.3 cm³

Step-by-step explanation:

\(\boxed{volume = \frac{mass}{density} }\)

Volume of the rod

= 200 ÷7.6

= 26.3 cm³ (3 s.f.)

Answer:

29.5735296 cc = 1 oz

To determine if a function has a vertical asymptote, you need to consider its behavior as the input approaches certain values.

A vertical asymptote occurs when the function approaches positive or negative infinity as the input approaches a specific value. Here's how you can determine if a function has a vertical asymptote:

Check for restrictions in the domain: Look for values of the input variable where the function is undefined or has a division by zero. These can indicate potential vertical asymptotes.

Evaluate the limit as the input approaches the suspected values: Calculate the limit of the function as the input approaches the suspected values from both sides (approaching from the left and right). If the limit approaches positive or negative infinity, a vertical asymptote exists at that value.

For example, if a rational function has a denominator that becomes zero at a certain value, such as x = 2, evaluate the limits of the function as x approaches 2 from the left and right. If the limits are positive or negative infinity, then there is a vertical asymptote at x = 2.

In summary, to determine if a function has a vertical asymptote, check for restrictions in the domain and evaluate the limits as the input approaches suspected values. If the limits approach positive or negative infinity, there is a vertical asymptote at that value.

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Answer:

B. Their is no error. This is a conclusion.

Step-by-step explanation I got it right on khan

Helena didn't make any error in her conclusion as the transformation is illustrated accurately.

From the information given, it was stated that Helena was curious if the quadrilaterals were congruent.

In this case, it is not possible to map the quadrilaterals onto each other using a sequence of rigid transformations, so the quadrilaterals are not congruent.

Therefore, no error is made.

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Answer:

m=9/2

Step-by-step explanation:

Answer:

-9/-2

Step-by-step explanation:

Use the slope formula... M = Rise/Run = Y2-Y1 all over X2 - X1

For the given equation which shows the relation of temperature in Celsius and Fahrenheit, the correct option is Option D.

What is meant by temperature?

Indicating the direction in which heat energy will naturally flow from a hotter body (one with a higher temperature) to a colder body(one at a lower temperature), the temperature is a measure of hotness or coldness defined in terms of any of several arbitrary scales.

The given equation is:

\(C = \frac{5}{9} (F- 32)\)

where C = temperature in Celsius

          F = temperature in Fahrenheit

The above equation can be rewritten as:

C = 5/9F - 160/9

Now, this is an equation of a straight line with a formula,

y = mx + c

Comparing,

m = 5/9 which is the slope of the equation.

This means that for a temperature increase of 1 degree Fahrenheit, the equivalent increase in temperature in Celsius is 5/9.

So the option I is true.

Similarly, an increase in 1 degree Celsius of temperature is equivalent to 9/5 = 1.8 degree increase in Fahrenheit.

So option II is true.

Option III is not true as is discussed above.

Therefore for the given equation of temperature, the correct option is Option D.

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Answer:

D

Step-by-step explanation:

I have nothing else to say- lol

Answer:

x ≤ -3 ∨ x ≥ 0

Step-by-step explanation:

3+ 2x ≥ 0

2x ≥ -3

x ≥ -3/2

if x ≥ -3/2

-2x - 3 + 1 ≤ -2

-2x ≤ 0

x ≥ 0

if x ≤ -3/2

2x + 3 + 1 ≤ -2

2x ≤ -6

x ≤ -3

x ≤ -3 ∨ x ≥ 0

Answer:

1/3

Because 1/3 if divide into two, it'll be 0.5/3 but if the question says that the answer have to be in whole number, that means it must be 1/6.

Answer:12

Step-by-step explanation:

because it will take 2 to make a cup

Answer:

changing direction

Brainliest Please

Step-by-step explanation:

Answer:

C. Changing direction must be it

Answer:

unlimited solutions (all real numbers)

Step-by-step explanation:

3x + 21 = 3(x +7)

3x + 21 = 3x + 21

Answer:

WOW SPORTS

Step-by-step explanation:

The APR if the finance terms are $21.99 per week for 52 weeks is 83.48%. Hence option 4 is correct.

The annual percentage rate, or APR, is the interest rate that is charged on a loan balance that is still outstanding. The expected cost of the annual fees connected with a certain sort of borrowing is what the APR conceptually reflects.

APR is a commonly used formula by lenders that enables borrowers to compare various loan choices. The stated interest rate on a loan is typically insufficient on its own to help borrowers choose the best loan option.

A loan with a low stated interest rate could also have significant costs attached that should not be disregarded. The best alternative might be a loan with a smaller fee structure and a higher advertised interest rate. APR is calculated as (Periodic Interest Rate x 365 Days) x 100 i.e.

\($\mathrm{APR=\left(\left(\frac{\frac{Fees+Interest}{Principal}}{n} \right) \times 365 \right) \times 100}\)

​where:

Interest = Total interest paid over life of the loan

Principal = Loan amount

n = Number of days in loan term

Fees = 0

​Interest = 2​Interest = $519.48

Principal = $624.00

n = 52 × 7 = 364 days

Plug the data in the formula:-

\($\mathrm{APR=\left(\left(\frac{\frac{0+519.48}{624}}{364} \right) \times 365 \right) \times 100}\)

APR = 83.48%

Thus, The APR if the finance terms are $21.99 per week for 52 weeks is 83.48%. Hence option 4 is correct.

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Our function is a parabola, therefore, it has only one critical point which is its vertex. Since the coefficient of the squared term is negative, the vertex is the maximum point.The critical points of a function are given by the zeros of the first derivative. The first derivative of our function is:

The solutions for the following equation are the critical points of the original function:

The maximum point happens at x = - 3.

To find the corresponding value, we just have to evaluate x = - 3 into our function:

The maximum value of the function is 1, and it occurs at x = - 3.

Answer: The function has a maximum value

               The function's maximum value is 1

               The function's maximum value occurs at x=-3

Step-by-step explanation:

Given equation: \(g(x) = -3x^ - 18x - 26\)

We shall use the differentiation method to find the answer.

Differentiating the equation, we get   \(g'(x) = - 6x - 18\)

equating g'(x) = 0,

\(-6x - 18 = 0\\-6x = 18 \\x = -3\)

Hence the minimum/ maximum value of the function lies in x = -3

on equating x>-3, g'(x) is negative

on equating x<-3, g'(x) is positive

this proves that first, the function was increasing and after x = -3, the function started to decrease hence at x=-3, the function g(x) was at its maximum value

The function's maximum value at x=-3 is

\(g(x) = -3x^2 - 18x - 26\\g(-3) = -3(-3)^2 - 18(-3) - 26\\g(-3) = -3(9) +54 -26\\g(-3) = 54 - 27 -26\\g(-3) = 1\)

Answer:

217 cm below ground

Hope this helped :))

Step-by-step explanation:

If the human skull is 248 centimeters below ground and the leg bone is 67 cm above the skull then you would have to : 248 - 67 = 181

This means that the leg bone is 181 cm below the ground.

If the hand bone is 36 cm below the leg bone then you would have to add because you are going deeper. So : 181 + 36 = 217

This means that the hand bone was 217 cm below ground .

The solution of the linear equation 2.8y+6+0.2y=5y-14 is y=10.

Given linear equation 2.8y+6+0.2y=5y-14 and we have to find the solution of the equation.

An equation is relationship between two or more variables which is expressed in equal to form. It is solved in order to find the values of variables. Equation of two variables look like ax+ by=x.

The given linear equation is 2.8y+6+0.2y=5y-14 which can be solved as under:

2.8y+6+0.2y=5y-14

We have to add the coefficients of same variables. Coefficients are the numbers which are present with the variable.

3y+6=5y-14

We have to take same variables at one side.

3y-5y=-14-6

-2y=-20

y=-20/-2

y=10

Hence the solution of the linear equation 2.8y+6+0.2y=5y-14  is y=10.

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The given initial value problem is a second-order linear homogeneous differential equation. To solve it, we first find the characteristic equation by substituting y = e^(rx) into the equation. This leads to the characteristic equation r^2 - 10r + 50 = 0.

The general solution of the differential equation is y(x) = e^(5x)(C₁cos(5x) + C₂sin(5x)), where C₁ and C₂ are constants determined by the initial conditions.

To determine the particular solution, we differentiate y(x) to find y'(x) = e^(5x)(5C₁cos(5x) + 5C₂sin(5x) - C₂cos(5x) + C₁sin(5x)), and then differentiate y'(x) to find y''(x) = e^(5x)(-20C₁sin(5x) - 20C₂cos(5x) - 10C₂cos(5x) + 10C₁sin(5x)).

Substituting the initial conditions y(0) = 1 and y'(0) = 5 into the general solution and its derivative, we obtain the following equations:

1 = C₁,

5 = 5C₁ - C₂.

Solving these equations, we find C₁ = 1 and C₂ = 4.

Therefore, the particular solution to the initial value problem is y(x) = e^(5x)(cos(5x) + 4sin(5x)).

To find the value of y when x = 1.52, we substitute x = 1.52 into the particular solution and evaluate it. The result will depend on the rounding instructions provided.

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Answer:

1st slide:

A. a translation 5 units to the left

B.translation 7 units down

2nd slide

A. Wider than and opens in the opposite direction of

B. Narrower than and opens in the same direction as

3rd slide

1,-5,3

4th slide

A. Right, 8

B. Down,6

5th slide

Sample response:complete the square to get the equation in vertex form with a=-16, h=1, and k=19. The path is a reflection over the x-axis and narrower. It is also translated right 1 unit and up 19 units.

6th slide

The upside down U with the y axis to the right

7th slide

A. 1,-5

B. -3,2

8th slide

A. 1 1

B. 1

C. 2

9th slide

3,1

10th slide

4,-32

2,-15

11th slide

Step-by-step explanation:

The translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

The process of changing the location of the image on the coordinate system will be known as the translation. Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given equations are y = x and y = x + 5. When the two equations are plotted on the graph it is observed that the line of the equation y = x + 5 lies on the left side of the line y = x of about 5 units.

Therefore, the translation of the equation y = x to the graph of y = (x+5) has a translation of 5 units to the left. The correct option is B.

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Three mathematical concepts Sets, relation, function a strong tool for storing and analysing data is relational data.It is based on three crucial mathematical ideas. The correct answer is b. a domain a tuple

Relation and functions what they do Understanding the ideas in Mathematics a strong tool for storing and analysing data is relational data. It is built on sets, relations, and functions, three fundamental ideas in mathematics. In a relational database, sets are collections of items like tables, columns, and rows.

Relations are the connections between items in a set, such as the connections between database columns and rows. Functions are the rules that specify how objects and the connections between them interact, such as the rules that specify how a query behaves. Relational data can be arranged and managed with the use of these mathematical ideas in order to store and analyse data effectively.

Complete question:

On which three mathematical concepts is the relational data structure based? Select all that apply.

a. a variable

b. a domain a tuple

c. a relation

d. a table

e. an equation

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The right alternative to replace the question mark (?) is nik.

The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.

Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...

Applying this, we can determine the next term in the series:

w → t → q → n

f → g → h → i

b → d → g → k

So, the next term comes to be "nik"

Therefore, the right alternative to replace the question mark (?) is "nik".

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The number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

In this question,

Positive integers are 0,1,2,3,4,5,6,7,8,9

Total number of integers = 10

This can be solved by permutation concepts.

Case 1: 4-digit positive integers with no repeated digits,

First digit, cannot be zero. So remaining 9 digits.

Second digit, can be any digit other than the first digit. So 9 digits.

Third digit, can be any digits other than first and second. So 8 digits.

Fourth digit, can be any digits other than first, second, third digit. So 7 digits.

Thus, Number of ways of 4-digit positive integers with no repeated digits ⇒ (9)(9)(8)(7)

⇒ 4536 ways.

Case 2:  4-digit positive integers, there may be repeated digits, but all digits are odd

Odd integers are 1,3,5,7,9

Number of digits = 5

In this case, we can repeat the digits. So all places can have 5 possibilities.

Thus number of ways of 4-digit positive integers with repeated digits, but all digits are odd = (5)(5)(5)(5)

⇒ 625 ways.

Hence we can conclude that the number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

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In a 2 x 3 factorial design, the numbers 2 and 3 represent the levels of the first and second factors, respectively. Therefore, there are 2 levels in the first factor and 3 levels in the second factor.

In a factorial design, the numbers 2 and 3 do not directly represent the levels of the factors. The numbers indicate the number of levels present in each factor.

In a 2 x 3 factorial design, the "2" represents the number of levels in the first factor, and the "3" represents the number of levels in the second factor.

For example, let's say the first factor is "A" and it has two levels: Level 1 and Level 2. The second factor, "B," has three levels: Level 1, Level 2, and Level 3. The design would then involve combinations of these levels such as A1B1, A1B2, A1B3, A2B1, A2B2, and A2B3.

So, in a 2 x 3 factorial design, there are 2 levels in the first factor and 3 levels in the second factor, leading to a total of 6 unique combinations or cells.

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The value of "m' that makes the expression equivalent is 0.2584

Given the expression 12 (–1.4m + 0.4) = m + 0.2

We need to solve for the value of m from the expression.

Expand using the distributive law:

12(-1.4m) + 12(0.4) = m +  0.2

16.8m + 4.8 = m + 0.2

Collect the like terms:

-16.8m - m = 0.2 - 4.8

-17.8m = -4.6

m = 4.6/17.8

m = 0.2584

Hence the value of "m' that makes the expression equivalent is 0.2584

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