i need help with semetry​

The side AC is the longest side in the triangle ABC.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

1) The given equations are 3y+1=6x+4 and 2y+1=x-9

Here, 6x-3y+4-1=0

2x-y+1=0 ------(i)

x-2y-10=0 ------(ii)

Now, a₁/a₂=b₁/b₂=c₁/c₂

2/1 ≠ -1/(-2)

So, the equations are neither parallel nor perpendicular

2) In triangle ABC, ∠A=27° and ∠BCD=117°

We know that, exterior angle = sum of opposite interior angles

∠BCD=∠A+∠B

117°=27°+∠B

∠B=90°

By using angle sum property,

∠A+∠B+∠ACB=180°

27°+90°+∠ACB=180°

∠ACB=180°-117°

∠ACB=63°

So, largest angle is ∠B opposite it side AC is longest

Therefore, the side AC is the longest side.

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Answer:

Yes Lin did drink more (4 2/4)

Step-by-step explanation:

3*3/4=9/4 9/4*2=18/4=4 2/4

Answer:

More, Lin drank more than Elana

Step-by-step explanation:

Reason =

Elana drank 3 litres of water

Another person named Jada drank 3/4 of what Elana drank= 3*3/4= 9/4

Therefore we find out that Jada drank 9/4 Litres of water.

The question asks us to find how much Lin drank =

Lin drank = twice as much as Jada = 2 * 9/4

=18/4 = 4.5 liters of water

As we can see 4.5 litres is more than 3 litres by 1.5 litres

Therefore Lin drank more than Elana, who drank more than Jada.

Answer: 5

Step-by-step explanation:

Answer:

The correct answer is D. 360°

Step-by-step explanation:

The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.

Let us consider the image attached.

First of all let us consider the triangle.

As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.

\(\Rightarrow \angle 1=\angle B + \angle C\\\Rightarrow \angle 2=\angle A + \angle C\\\Rightarrow \angle 3=\angle A + \angle B\)

Where \(\angle A, \angle B\ and\ \angle C\) are the interior angles of the triangle.

Adding the above equations:

\(\angle 1 +\angle 2 +\angle 3 = 2 \times (\angle A +\angle B +\angle C )\)

The sum of interior angles of a triangle is always equal to 180°

\(\angle A +\angle B +\angle C = 180^\circ\)

\(\angle 1 +\angle 2 +\angle 3 = 2 \times 180^\circ\\\Rightarrow \angle 1 +\angle 2 +\angle 3 = 360^\circ\)

Hence, proved that the sum of exterior angles is \(360^\circ\).

So, the correct answer is D. \(360^\circ\)

Answer:

22°

Step-by-step explanation:

a right angle have 90°

So

x+68°=90°

=>x=90-68

=22°

Answer:

100 cm

Step-by-step explanation:

The volume of a cube can be represented by the formula Length*Width*Height. You can substitute the given values into that equation to get 5*2*10, which equals 100 cm. I hope this helps!

The income you need to afford a $425,000 house is largely dependent on your debt-to-income ratio, credit score, and down payment. However, a general rule of thumb is to have an annual income that is at least three times the purchase price of the home, which in this case would be $1,275,000.

To more accurately determine the income needed to afford a $425,000 house, consider factors such as the interest rate on the mortgage, property taxes, homeowners insurance, and any homeowner association fees.

These additional expenses can significantly impact your monthly mortgage payment and thus your income requirements.
It's important to keep in mind that lenders have varying criteria when determining mortgage eligibility and income requirements, so it's best to speak with a mortgage professional to get a more accurate estimate based on your individual circumstances.

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Answer:

1000

Step-by-step explanation:

From the above question

We have the following parameters

30 were intially Marked

600 were caught and out of it 18 was marked

The formula for the best estimate of the population is calculated as:

Total population = Initial marked kangaroo × Number of caught kangaroo/Number of kangaroo marked after they were caught

= 30 × 600/18

= 1000

Answer:

kangaroos are found in austraillia i don't kno where in austrailla u can find one but they are cute as a pumpkin

Step-by-step explanation:

Answer:

39:2 (simplified)

Step-by-step explanation:

books : students

351 : 18

(divide by 9)

39 : 2

To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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The backpack forms an angle of approximately 15 degrees with the ground.

What is Pythagorean theorem?

The Pythagorean theorem is a fundamental concept in mathematics that relates to the lengths of the sides of a right triangle.

To find the angle that Luis's backpack forms with the ground, we can use the inverse tangent function.

The height of the backpack when the handle is extended is 3.5 feet, and the distance from the ground to Luis's hand is 3 feet. So the opposite side of the triangle is 3.5 - 3 = 0.5 feet, and the adjacent side is the distance from Luis's hand to the backpack, which we can call x.

Using the tangent function, we have:

tan(theta) = opposite/adjacent

tan(theta) = 0.5/x

To solve for x, we can use the Pythagorean theorem:

x² + 3² = (3.5)²

x² = 3.5² - 3²

x² = 3.25

x = sqrt(3.25)

x ≈ 1.8 feet

Now we can substitute x into our tangent equation and solve for theta:

tan(theta) = 0.5/1.8

theta = arctan(0.5/1.8)

theta ≈ 15 degrees

Therefore, the backpack forms an angle of approximately 15 degrees with the ground.

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The vectors u, v, and w are linearly independent if and only if k ≠ -8.

To understand why, let's consider the determinant of the matrix formed by these vectors:

| -4   -3    -4   |

| -3   -3    -11+k |

| 5    -11+k  7    |

If the determinant is nonzero, then the vectors are linearly independent. Simplifying the determinant, we get:

(-4)[(-3)(7) - (-11+k)(-11+k)] - (-3)[(-3)(7) - 5(-11+k)] + (-4)[(-3)(-11+k) - 5(-3)]

= (-4)(21 - (121 - 22k + k^2)) - (-3)(21 + 55 - 55k + 5k) + (-4)(33 - 15k)

= -4k^2 + 80k - 484

To find the values of k for which the determinant is nonzero, we set it equal to zero and solve the quadratic equation:

-4k^2 + 80k - 484 = 0

Simplifying further, we get:

k^2 - 20k + 121 = 0

Factoring this equation, we have:

(k - 11)^2 = 0

Therefore, k = 11 is the only value for which the determinant becomes zero, indicating linear dependence. For any other value of k, the determinant is nonzero, meaning the vectors u, v, and w are linearly independent. Hence, k ≠ 11.

In conclusion, the vectors u, v, and w are linearly independent if and only if k ≠ 11.

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Answer:

3.819inch

Step-by-step explanation:

Circumference(C)=24inch

radius(R)=?

Now,

C=2piR

24=2piR

12=piR

12/pi=R

R=3.819

Answer:

the answer would be C because it's like backwards if you understand what I mean

Based on the given simple statements, "The scroll is open" and "The writings are visible," we can determine which compound statements would also be true.

The scroll is not open or the writings are visible.

This compound statement would be true. Since the first simple statement states that the scroll is open, the negation of this statement would be that the scroll is not open. The second simple statement states that the writings are visible, which aligns with this compound statement. Therefore, this compound statement is true.

The scroll is open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, the second part of this compound statement contradicts the given information.

The scroll is open or the writings are visible.

This compound statement would be true. It directly matches the given simple statements, where both the scroll being open and the writings being visible are mentioned. Therefore, this compound statement is true.

The scroll is not open or the writings are not visible.

This compound statement would not be true. Both simple statements state that the scroll is open and the writings are visible. So, neither part of this compound statement aligns with the given information.

The compound statements that would be true are:

The scroll is not open or the writings are visible.

The scroll is open or the writings are visible.

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David, Jeff, and Paula have (7d)/3 books.

To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:

1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.

Now, to find the total number of books for all three of them, we simply add the number of books each person has:

Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d

To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3

Now, we can simplify the expression:
Total books = (7d) / 3

So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.

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The statement "typically five or six observations are necessary to determine a clear pattern" is correct.

While it is technically possible to identify a pattern or phase with just three data points, it is often not sufficient for a clear and accurate determination. In many cases, additional data points are needed to confirm or refine the pattern, particularly if there is any uncertainty or variability in the data.

As a general rule, having at least five or six data points can help to provide a more robust and reliable understanding of the pattern or phase being studied. This allows for a more thorough analysis of the data and can help to identify any potential outliers or anomalies that may be affecting the results. Additionally, having a larger number of data points can help to provide a more complete picture of the underlying trends and variability in the data, which can be valuable for making more informed decisions or predictions based on the data.

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The correct option A. quasi-experimental design; used to show that the independent variable's effect can be reversed.

In that an independent variable is manipulated, quasi-experimental research is comparable to experimental research.

Thus, quasi-experimental design used to show that the independent variable's effect can be reversed.

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The correct question is-

One method used to demonstrate the reversibility of the effect of the independent variable is a(n):

A. quasi-experimental design.

B. interrupted time series design.

C. control series design.

D. ABA design.

Answer:

(1,4.5)

(\(\frac{5+(-3)}{2} ,\frac{3+6}{2}\))

Out of the 46 adults surveyed at the restaurant, 24 people eat meat, 22 people do not eat meat, 16 people eat fish, 30 people do not eat fish, and 36 people do not eat either one.  

Out of the 46 adults surveyed at the restaurant, 14 only eat meat, 6 only eat fish, and 10 eat both meat and fish. To find out how many people eat meat, we add the number of adults who only eat meat and the number of adults who eat both meat and fish, which is 14+10=24.    

To find out how many people do not eat meat, we subtract the number of people who eat meat (24) from the total number of adults surveyed (46), which is 46-24=22.  

Similarly, to find out how many people eat fish, we add the number of adults who only eat fish and the number of adults who eat both meat and fish, which is 6+10=16. To find out how many people do not eat fish, we subtract the number of people who eat fish (16) from the total number of adults surveyed (46), which is 46-16=30.

Finally, to find out how many people do not eat either one (meat or fish), we subtract the number of adults who eat both meat and fish (10) from the total number of adults surveyed (46), which is 46-10=36.

In summary, out of the 46 adults surveyed at the restaurant, 24 people eat meat, 22 people do not eat meat, 16 people eat fish, 30 people do not eat fish, and 36 people do not eat either one.  

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Answer:

\(a=1\)

Step-by-step explanation:

A parallelogram is a quadrilateral with two pairs of parallel sides. Opposite sides of a parallelogram are equal.

Therefore, set any two opposite sides equal to each other to solve for \(a\):

\(a+3=2a+2,\\\\3=a+2,\\a=\boxed{1}\)

Answer:

a+3 = 2a+2

a+6 = 6a+1

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

a = -1

5a = -5

a = -1

a = -1

Answer:

\(\huge\boxed{\bf\:71^{\circ}}\)

Step-by-step explanation:

Let's take a close look at the figure. 19°, 90° (right angle) & z° form a straight line & are hence supplementary angles.

Then, their sum will add up to 180°.

\(19^{\circ} + 90^{\circ} + z^{\circ} = 180^{\circ}\\109^{\circ} + z^{\circ} = 180^{\circ}\\z^{\circ} = 180^{\circ} - 109^{\circ}\\\boxed{\bf\:z^{\circ} = 71^{\circ}}\)

\(\rule{150pt}{2pt}\)

Answer:

Angela's house will be worth $242,587.42 in 10 years as it appreciates at a rate of 6.1% per year

Step-by-step explanation:

A = P(1 + r/n)^(n*t)

A = the final amount

P = the initial amount (the purchase price of the house)

r = the annual interest rate (6.1% in this case)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the time period (10 years)

A = $130,520(1 + 0.061/1)^(1*10)

A = $130,520(1.061)^10

A = $242,587.42

Answer:

Step-by-step explanation:

To calculate the value of Angela's house after 10 years of appreciation, we need to apply the 6.1% annual appreciation rate.

First, let's calculate the appreciation amount for each year. We can use the formula:

Appreciation = Initial value * Appreciation rate

Appreciation for one year = $130,520 * 0.061 = $7,979.32

Now, let's calculate the value of the house after 10 years:

Value after 10 years = Initial value + Total appreciation

Value after 10 years = $130,520 + ($7,979.32 * 10)

Value after 10 years = $130,520 + $79,793.20

Value after 10 years = $210,313.20

Therefore, Angela's house will be worth $210,313.20 after 10 years of appreciation.

In the given research hypothesis that proposes that consuming low carbohydrate diets results in increased weight loss, the dependent variable will be the average number of pounds lost per person.

What is the dependent variable?The dependent variable is defined as the variable that is affected by the independent variable or experimental conditions. In other words, it is the variable whose changes are observed and measured based on the changes in the independent variable. In this given research hypothesis, the independent variable is the carbohydrate content of the diet, i.e. low-carb diet and high-carb diet.The dependent variable will be the average number of pounds lost per person, which is being compared between the two groups of people following low-carb and high-carb diets.

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Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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The answer is Figure A.

Given: "If it is an triangle, then it has three vertices.

To find which diagram represents the given statement.

From the first diagram

Triangles have three vertices because they are formed by the intersection of three triangles.

using the second diagram

Three vertices make up the triangle's intersection zone.

Therefore, we cannot infer from the second diagram that a triangle has three vertices.

As a result, figure A represents the stated assertion.

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The probability of receiving the franchise should be high enough to result in a positive NPV. The exact probability will depend on various factors such as the cost of building the hotel, expected revenues, and expenses.

To determine the minimum probability of receiving the franchise that Sporthotel will accept and still believe it is wise to build the hotel, you'll need to calculate the Net Present Value (NPV). NPV is a financial metric that considers the difference between the present value of cash inflows and the present value of cash outflows over a specific period of time.

To calculate NPV, you will need information on cash inflows, cash outflows, the discount rate, and the project's duration. You can use the following formula:

NPV = ∑ [(Cash inflow - Cash outflow) / (1 + Discount rate)^t] - Initial investment

Here, "t" represents the time period.

To find the minimum probability that results in a positive NPV, you will need to identify the cash inflows and outflows associated with receiving the franchise and building the hotel. Once you have these values, you can plug them into the NPV formula and adjust the probability until you find the value that results in a positive NPV.

In conclusion, the minimum probability of receiving the franchise that Sporthotel will accept is the probability that results in a positive NPV, which indicates that the project is expected to generate a positive return on investment.

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