Triangle congruence proof

No. The slopes of the two lines are not equal, therefore they are not parallel.

Parallel lines are two lines that are located at an equal distance from one another and never cross.

The distance and direction between them remain constant. In geometry, parallel lines are used to find solutions to problems involving angles and shape distances.

The angles created between two lines are equal when they are parallel. As a result, the angles formed when two parallel lines cross another line at their places of intersection are equal.

The Parallel Lines Theorem is what this is. Problems relating the angles and separations of forms can be resolved using this theorem.

Along with these shapes, parallel lines are also employed to create circles and ellipses as well as squares, rectangles, and trapezoids.

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Answer:

1. Yes

2. Yes

3. No

Step-by-step explanation:

You can check by substituting x = 2 and y = -3 in these equations. If both sides appear to have same values then (2,-3) is a solution to that equation. If both sides appear to have different values then (2, -3) is not a solution to that equation.

[tex]\displaystyle{x+3y=-7}\\\\\displaystyle{2+3(-3)=-7}\\\\\displaystyle{2-9=-7}\\\\\displaystyle{-7=-7}[/tex]

Hence, (2, -3) is a solution to x + 3y = -7

[tex]\displaystyle{-x+y=-5}\\\\\displaystyle{-2-3=-5}\\\\\displaystyle{-5=-5}[/tex]

Hence, (2, -3) is a solution to -x + y = -5

[tex]\displaystyle{2x-y=1}\\\\\displaystyle{2(2)-(-3)=1}\\\\\displaystyle{4+3=1}\\\\\displaystyle{7=1}[/tex]

Hence, (2, -3) is not a solution to 2x - y = 1

The solution of the inequality in terms of x is x > 3 or x < 5/3.

What is quadratic inequality?

A quadratic inequality is simply a type of equation that does not have an equal sign and includes the highest degree of two. The wavy curve method is a method used to solve quadratic inequalities. Solving quadratic inequalities is the same as solving quadratic equations.

To solve the quadratic inequality 3x^2 - 8x + 15 > 10x, we first need to move all the terms to one side of the inequality sign to create a standard form of quadratic inequality.

3x^2 - 8x + 15 > 10x

3x^2 - 18x + 15 > 0

Now we can factor the left side of the inequality as (3x-5)(x-3) > 0

To solve the inequality, we need to find the values of x that make the expression (3x-5)(x-3) > 0 true. We can do this by setting each factor to zero and solving for x:

3x - 5 = 0, x = 5/3

x - 3 = 0, x = 3

Now we need to test these values of x in the original inequality to see if they make it true or false, and also we need to test values of x between and around these roots.

For x = 5/3, we have 3(5/3)^2 - 8(5/3) + 15 > 10(5/3)

Which is true.

For x = 3, we have 3(3)^2 - 8(3) + 15 > 10(3)

Which is also true.

So, we can conclude that the solution of the inequality is x > 3 or x < 5/3.

Therefore, the solution of the inequality in terms of x is x > 3 or x < 5/3.

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

give me a brainlist please

The first steps of the elimination of fraction is to take LCM for the denominators.

In math the term fraction is defined as represent the parts of a whole or collection of objects

Here we have know that  first we want to eliminate the fraction in the example equation.

As we all know that the process of eliminating in fraction will follow the following steps, they are listed as follows:

First we have to take the LCM for the fractions and then we have to enter the equations.

Then we have to multiply each equation by a number to get the lowest common multiple for one of the variables.

And then we have to add or subtract the two equations to eliminate that variable .

Then we should substitute that variable into one of the equations and solve for the other variable.

Finally we have to check by substituting your answer into one of the equations,

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The function f(x) = -9x^3 is odd because it is not at the initial state after replacing x by -x.

By taking a function, replacing each x with an equal value, simplifying it, and then comparing the outcomes to what you had initially, you can "determine algebraically" whether it is even, odd, or neither.

If the function is identical to what you started with that is, if f(-x) = f (x), with all the signs remaining the same then the function is even. If the function is exactly the opposite of what you started with (i.e., if f(-x) = -f(x), with all the signs switched this is known as an odd function.

The function is f(x) = -9x^3

Now substitute -x in place of x.

f(-x) = -9(-x)^3

f(-x) = -9 × -(x)^3

f(-x) = 9x^3

As we can see that the function is not in the initial position so the function is odd.

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Based on the dimensions of architecture's model and width of the building, the length of actual building is 420 meters.

The question is based on scale concept. Here the ratio of length to width will be same between the actual building and architect's model. Using this information to find the length of the building. Let us assume the length of actual building be x.

The ratio will be -

length:width (architect's model) = length:width (actual building)

1.4 : 0.8 = x : 240

Representing it as fraction

1.4/0.8 = x/240

x = 1.4 × 240/ 0.8

Performing multiplication in numerator

x = 336/0.8

Performing division

x = 420 meters

Thus, the length of the building is 420 meters.

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A number y is no more than -8. So the expression as inequality is y ≤ -8.

We have to write the word sentence as an inequality.

A number y is no more than -8.

A relationship between two values in an algebraic statement that are not equal is shown by an inequality. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The statement is saying that y is no more than means y is less that or equal to -8.

So we can write the expression as

y ≤ -8

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The complete question is:

Write the word sentence as an inequality. A number y is no more than -8.

Answer: 4x + 2 = -10

3x - 1 = 26

x + 7 = 34

Step-by-step explanation:

The amount of gelatin and water that Jeff use to make 9 boxes are 27 oz of powder and 18 cups of water respectively.

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

We have

Amount of gelatin used for 3 boxes = 9 oz

Amount of gelatin for 1 box = 3 oz

Amount of water for 3 boxes = 6 cups

Amount of water for 1 box = 2 cups

We have to calculate the amount of gelatin and water for 9 boxes.

Amount of gelatin for 9 boxes = 3 × 9 = 27 oz

Amount of water for 9 boxes = 2 × 9 = 18 cups

Hence Jeff will use  27 oz of powder and 18 cups of water to make 9 boxes of gelatin.

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If f(-x) = -f(x), the function is odd. and if f(-x) = f(x), the function is even.

A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.

We can decide algebraically if a function is even, odd or neither by replacing x by -x and computing f(-x).

If f(-x) = f(x), the function is even.

If f(-x) = -f(x), the function is odd.

In order to "determine algebraically" whether a function is even, odd, or neither, you take the function and plug − x in for x, simplify, and compare the results with what you'd started with.

If you end up with the exact same function that you started with (that is, if f (− x) = f (x), so all the signs are the same), then the function is even; if you end up with the exact opposite of what you started with (that is, if f (− x) = − f (x), so all the signs are switched), then the function is odd.

If the result is neither exactly the same nor exactly opposite (that is, nor having all the same terms but with all the signs reversed), then the function is neither even nor odd.

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The original recipe had 0.9 cups of bananas.

Using only fresh ingredients, strawberry banana smoothie is a simple, nutritious dish. It is creamy, sweet, nutritious, and dairy- or dairy-free can be used to make it. The ideal summertime smoothie. Putting the strawberries, frozen banana, milk, and yoghurt in a blender and mixing until smooth and creamy is all that is required to make it.

Cups of strawberries = 1.75

No. of cups added of banana = 1/2

                                            = 0.5

No. of cups of banana smoothie have = 14.

The original recipe had = 1.4 - 0.5

                                   = 0.9

Hence, the original recipe had 0.9 cups of bananas.

Correct Question :

to make a strawberry banana smoothie, a recipe calls for 1.75 cups of strawberries and some bananas. to make the recipe taste more like banana, 1/2 cup more banana was added to the blender. the smoothie now has 1.4 cups of bananas. how many cups of bananas were in the original recipe?

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Answer: $19.80

Step-by-step explanation:

Step 1:

Multiply to get tip:

18*0.1=1.8

Step 2:

Add:

18+1.8=19.8

Add the zero in the hundredths digit place since there are always two-digit places after the decimal point when dealing with money.

Try multiplying the 91 and 65 then that's an answer for one. Then try dividing them for another angle.

Answer:

I'm trying to figure that out to

Answer: Blue: 12.5%

              White: 25%

              Orange: 62.5%

              Blue or White: 37.5%

Step-by-step explanation:

Step 1: Add all the Marbles together: 2 blue + 10 Orange + 4 White = 16     Marbles

Step 2: Add Blue and White marbles together: 2 blue + 4 White = 6 Marbles

Step 3: Divide Blue and White Marbles with total Marbles: 6/16 = 0.375

Step 4: Convert to Percentage: 0.375 x 100 = 37.5%

If the variance of a normal population is 5,  the probability that the variance of a random sample of size 15 exceeds 9.329  is 0.069.The variance of a sample from a normal population has a chi-squared distribution, which is the sum of the squares of the standard normal distribution.

The probability can be calculated by finding the area to the right of the chi-squared value of 9.329 on the chi-squared distribution. This area can be found by using the chi-squared cumulative distribution function, which is the integrated form of the chi-squared probability density function.

To find the probability, the chi-squared cumulative distribution function is used to calculate the area to the right of the chi-squared value of 9.329. This will give us the probability of the variance of the sample exceeding 9.329, which is 0.069.

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Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

What is proportion ?

A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10".

To estimate the true proportion p of consumers who believe what is shown in Timex television commercials, Timex can use a sample proportion formula which is:

p = (number of positive responses) / (sample size)

To guarantee a margin of error of 0.05 or less at a 99% confidence level, Timex can use a sample size calculator. The sample size calculator takes into account the margin of error, confidence level, and the proportion of the population that is expected to be positive.

The sample size can be calculated using the formula :

n = (z^2 * p * (1-p)) / E^2

Where z is the z-score for the desired confidence level (z = 2.576 for 99% confidence level), p is the estimated proportion of the population that is expected to be positive (0.5 if the true proportion is unknown), and E is the desired margin of error (0.05).

Timex can survey at least 384 consumers to guarantee a margin of error of 0.05 or less at a 99% confidence level.

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An inequality represented by situation A is x < -4.

An inequality represented by situation B is x ≤ 3.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical values and variables in an algebraic equation based on any of the following inequality symbols:

In this exercise, we would use interpret each of the situations by using an inequality to model them. On the balance in situation A, the tray on the left is denoted with the variable (x) while the tray on the right is denoted with numerical values of "-1" in four places, therefore, we would write the inequality as follows:

x < 4(-1)

x < -4.

In situation B, the circle on the number line (graph) is closed because it represents the less than or equal to (≤) symbol and it decreases to the left of the number line;

x ≤ 3.

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The radius is 8.59 ft, the diameter is 17.18 ft and the circumference is 54 ft.

The circumference of the wheel will be 54 ft, since that's the distance the tire travels in one revolution.

The diameter of the wheel is twice the radius, so if we can find the radius we can find the diameter.

To find the radius (r), we can use the formula:

circumference = 2 × π × radius

54 = 2 × π  ×  r

r = 54 /2 π = 8.59 ft

The diameter is twice the radius, so:

diameter = 2r

diameter = 2 × 8.59 =  17.18 ft

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The inequality representing Courtney's situation to buy air heads and popcorn is 0.25x + 2y ≤ 12.

Based on the situation of Courtney, we can conclude that she must get the combination in such quantity of each that it's total is less than or equal to 12. Creating the expression according to this statement.

Number of air heads × cost of one air head + number of popcorn × cost of one popcorn ≤ 12

Keep the values in formula to find the inequality

x×0.25 + y×2 ≤ 12

Performing multiplication between the constant and variable

0.25x + 2y ≤ 12

Thus, inequality representing this situation is 0.25x + 2y ≤ 12.

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The classification of the transformation is c. translation.

Transformation is a process by which the orientation or dimension of a given object is changed so as to produce expected image. Some types of transformation are: translation, dilation, rotation and reflection.

i. Translation: This process implies shifting a given object a number of units in a particular direction.

ii. Dilation: This requires resizing a given object.

iii. Rotation: When a given object is turned about a reference point at a certain angle, then the process is called rotation.

iv. Reflection: This requires turning an object over a line or point to produce the desired image.

Considering the shapes given in the question, it can be deduced that the transformation to classify the process is translation.

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The numerical answer is 5

Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)

In the second step, join the three tapes in one long one maintaining the original divisions.

In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.

Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.

5 then tells you what is the quotient of 3 divided in 3/5

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Answer:

[tex]5 \sqrt{6} [/tex]

Step-by-step explanation:

ignore the square roots and do 4+2-1

The given situation represents the (B) command economy.

In a planned economy, the production, distribution, and allocation of capital goods all occur in accordance with economic plans that may be economy-wide or specific to a particular class of products and services.

Centralized, decentralized, participative, or Soviet-style economic planning is all possible in a planned economy.

Depending on the precise kind of planning mechanism used, the degree of centralization or decentralization in decision-making and involvement will vary.

Central planning has been utilized in socialist regimes built on the Soviet model, however, some, like the former Socialist Federal Republic of Yugoslavia, have embraced some kind of market socialism.

Therefore, the given situation represents the (B) command economy.

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D. 62% of women in the sample are the primary investor in their household.Inference: Women in the United States are likely to be the primary investors in their households.

The answer to this question is D. 62% of women in the sample are the primary investor in their household. This is an example of the descriptive branch of statistics because it summarizes the data collected in the survey. The inference based on the results of the survey is that women in the United States are likely to be the primary investors in their households.

62% of women in the sample are the primary investor in their household.

Inference: Women in the United States are likely to be the primary investors in their households.

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Answer:

Step-by-step explanation:

There's no table or image attached to your question, but they would have to work at least 7 hours in order to earn enough money. In 7 hours, they would earn $63.

The trip there take if the return trip took eight hours is 5hrs.

What is Distance?

Distance is the sum of an object's movements, regardless of direction. Regardless of an object's starting or ending position, distance can be defined as the amount of ground it has covered.

What is Rate?

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio expresses the corresponding rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities and it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

We are given ;

A container ship made a trip to Madagascar and back

On the trip there it traveled 16 km/h.

the return trip it went 10 km/h.

if the return trip took eight hours;

then,

16x = 10 * 8

16x = 80

x = 80/16

x = 5

Therefore,  he trip there take if the return trip took eight hours is 5hrs.

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