Which line is perpendicular to 2x+3y=5

Answer:

24 mg find the whole area then subtract 16 boom!

Answer:

Cement = 20

Step-by-step explanation:

2x6=12

2x4=8

12+8=20

Answer:

In the questions you are asked to evaluate by substituting the variables to the given number.

PLZ EXCUSE MY HANDWRITING.

When two parallel lines are intersected by a third line, eight angles are formed. Vertical angles are pairs of angles formed by two intersecting lines, so angles 1 and 5 must be vertical angles. Since vertical angles are always congruent, angles 1 and 5 are congruent as well.Supplementary angles are two angles whose sum is 180 degrees.

When a transversal intersects two parallel lines, eight angles are formed. Angles 1 and 5 are supplementary angles because they are on opposite sides of the transversal and their measures add up to 180 degrees.

This is because they are consecutive interior angles.So, angles 1 and 5 are congruent and supplementary.

There are a few ways to prove that two lines are parallel, but one way is to use the converse of the Corresponding Angles Postulate.

The postulate states that if two lines are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel. Since angles 1 and 5 are congruent, we can use the converse of this postulate to conclude that the two lines are parallel.

Another way to prove that two lines are parallel is to use the Alternate Interior Angles Theorem.

This theorem states that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent. Since angles 1 and 5 are congruent, we can use this theorem to conclude that the two lines are parallel.

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Answer: D. They are supplementary

Step-by-step explanation: RIGHT ON EDGE2023

Answer:did u ever find the answer i need it

Step-by-step explanation:

Answer: A. BX

Step-by-step explanation:

BX is the only line that bisects an angle. BX bisects angle B. Therefore, BX is an angle bisector.

SR is an altitude

BF is a segment of BC

AR is a chord

BX is the angle bisector of triangle ABC.

Angle bisecting refers to dividing an angle into two equal or congruent parts. The line or ray that divides the angle into two equal parts is called the angle bisector. It always cuts the angle into two angles of equal measure.

The properties of an angle bisector are :

It divides the angle into two equal angles, i.e., both resulting angles have the same measurement.

It is equidistant from the two sides of the angle, i.e., any point on the angle bisector is equidistant from the sides of the angle.

If a point lies on the angle bisector, it is equidistant from the two sides of the angle.

So, looking at the properties we can say that BX is the angle bisector of triangle ABC.

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It’s discriminant is zero, so it has one real solution statement is true for  x²-2x +1=0.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given quadratic equation is x²+1=2x

This can also be written as x²-2x +1=0

a=1, b=-2 and c=1

The expression b² − 4ac is called the discriminant, and can be used to determine whether the solutions are real, repeated, or complex.

(-2)² − 4(1)(1)=4-4

b² − 4ac= 0

A discriminant of zero indicates that the quadratic has a repeated real number solution.

It’s discriminant is zero, so it has one real solution.

Hence, It’s discriminant is zero, so it has one real solution statement is true for  x²-2x +1=0.

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The resulting marks on the number line would represent the positions of the square roots of different numbers. The distance between each mark would correspond to the value of the square root.

To represent the square root (√) on a number line, we can mark the positions of the square root of different numbers.

Starting from the origin (0), we can mark the position of the square root of various positive numbers by measuring the distance from the origin based on their square root value. For example, the square root of 1 (√1) is 1, so we can mark a point at 1 unit away from the origin. Similarly, the square root of 4 (√4) is 2, so we can mark a point at 2 units away from the origin.

We can continue this process for other numbers, marking the positions of their square roots on the number line. For instance, the square root of 9 (√9) is 3, so we can mark a point at 3 units away from the origin.

The resulting marks on the number line would represent the positions of the square roots of different numbers. The distance between each mark would correspond to the value of the square root.

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Answer:

The slope of the line is the coefficient of x, which in this case is 1. So the slope is 1.

The y-intercept of the line is the value of t when h = 0. In this case, when h = 0, t = 76, so the y-intercept is 76.

The line can be written in slope-intercept form as t = 1h + 76.

Interpretation:

The slope of 1 means that for every hour that passes, the air temperature in Miami increases by 1 degree Fahrenheit.

The y-intercept of 76 means that when there is no change in time (h = 0), the air temperature in Miami is 76 degrees Fahrenheit.

Answer:

B

Step-by-step explanation:

cause i said so

Researchers typically exercise direct control over the independent variable in experimental designs.

The independent variable is the variable that is being controlled or changed in an experiment. It is referred to as "independent" because its value is determined by the researcher rather than being influenced by other variables in the study.

The purpose of manipulating the independent variable is to observe its effect on the dependent variable, which is the variable being measured or observed in response to the manipulation of the independent variable.

For example, in a study investigating the effects of a new drug on blood pressure, the independent variable would be the administration of the drug, and the dependent variable would be the measured blood pressure. The researcher would directly control the administration of the drug and then measure the changes in blood pressure that result.

In summary, the independent variable is the key factor being tested in an experiment, and researchers have direct control over its value. By manipulating this variable, researchers can determine the relationship between it and the dependent variable and ultimately draw conclusions about cause-and-effect relationships between variables.

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Answer:

Step-by-step explanation:

(yellow shirt, green shorts),

(yellow shirt, blue shorts),

(white shirt, green shorts),

(white shirt, blue shorts),

(orange shirt, green shorts),

(orange shirt ,blue shorts)

There is six options so he will have six days to wear different outfits. pls give brainliest, im new.

x≤11.4 is the solution of the inequality 17.25+28.75x≤345

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

Given that A group of friends wants to go to the amusement park.

They have no more than $345 to spend on parking and admission.

Parking is $17.25, and tickets cost $28.75 per person, including tax.

17.25+28.75x≤345 is the required inequality.

Subtract 28.75 on both sides

28.75x≤345-17.25

28.75x≤327.75

Divide both sides by 28.75

x≤327.75/28.75

x≤11.4

Hence, x≤11.4 is the solution of the inequality 17.25+28.75x≤345

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Answer:

B.) 53/20

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

|-4/5 - 1/10| + |-3/4 + 5/2|

Step 2: Evaluate

Answer:

∠1 = 82°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Now,we have two sides as 49° and 49°.

The third angle is denoted as ∠1.

Thus;

∠1 + 49 + 49 = 180

∠1 = 180 - (49 + 49)

∠1 = 180 - 98

∠1 = 82°

The value of t for a 99% confidence interval depends on the sample size. With larger sample sizes (typically >30), t approaches the value of Z (standard normal distribution critical value).



In statistical inference, the value of t used for constructing a confidence interval depends on the desired confidence level and the sample size. For a 99% confidence interval, the critical value of t can be determined from the t-distribution table or calculated using software.The value of t for a 99% confidence interval is based on the degrees of freedom, which is generally determined by the sample size minus one (n - 1) for an independent sample. The larger the sample size, the closer the t-distribution approaches the standard normal distribution. For large sample sizes (typically n > 30), the critical value of t becomes very close to the value of Z (the standard normal distribution critical value) for a 99% confidence level.

To calculate the specific value of t, you need to know the sample size (n) and the degrees of freedom (df = n - 1). With these values, you can consult a t-distribution table or use statistical software to find the appropriate critical value. For a 99% confidence interval, the value of t will be higher than the corresponding value for a lower confidence level such as 95% or 90%, allowing for a wider interval that captures the true population parameter with higher certainty.

Therefore, The value of t for a 99% confidence interval depends on the sample size. With larger sample sizes (typically >30), t approaches the value of Z (standard normal distribution critical value).

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Answer:

22.

Step-by-step explanation:

22-7=15.

The ordered pair lie on the inverse of the function is (62,−3).

Option A is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = -(x - 1)³ - 2

The inverse of f(x).

y = -(x - 1)³ - 2

interchange x and y and solve for y.

x = -(y - 1)3 - 2

(y - 1)³ = -2 - x

(y - 1)³ = -(2 + x)

Cuberoot on both sides.

y - 1 = ∛-(2 + x)

y = ∛-(2 + x) + 1

Now,

Substitute in the inverse of g(x).

(62, -3) = (x, y)

(−4, 123) = (x, y)

(3, 1) = (x, y)

(3,−6) = (x, y)

So,

y = ∛-(2 + x) + 1

y = ∛-(2 + 62) + 1

∛-1 = -1

y = -1∛64 + 1

y = -1 x 4 + 1

y = -4 + 1

y = -3

So,

(62, -3) ______(1)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 - 4) + 1

∛-1 = -1

y = ∛(-2 + 4) + 1

y = ∛2 + 1

y =  1.26 + 1

y = 2.26

So,

(-4, 2.26) _______(2)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) _______(3)

And,

y = ∛-(2 + x) + 1

y = ∛-(2 + 3) + 1

∛-1 = -1

y = -1∛5 + 1

y = -1 x 1.71 + 1

y = -1.71 + 1

y = -0.71

So,

(3, -0.71) ______(4)

Thus,

From (1), (2), (3), (4) we see that,

(62, -3) is the solution to the inverse of g(x).

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The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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By applying the criterion of the law of cosine, the triangle presented in the picture is possible.

Herein we find an hypothetical triangles with all side lengths known.  A criterion is using the law of cosine, a possible triangle has cosine values between - 1 and 1. Then, we proceed to check for each side:

cos A = - (a² - b² - c²) / (2 · b · c)

cos A = - (25² - 2² - 24²) / (2 · 2 · 24)

cos A = - 0.469

cos B = - (b² - a² - c²) / (2 · a · c)

cos B = - (2² - 25² - 24²) / (2 · 25 · 24)

cos B = 0.998

cos C = - (c² - a² - b²) / (2 · a · b)

cos C = - (24² - 25² - 2²) / (2 · 25 · 2)

cos C = 0.53

Since the law of cosine gives realistic results, then the triangle presented in the picture is possible.

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Answer:

A = 28.8cm²

Step-by-step explanation:

multiply 9.6 by 6.0

= 57.6

divide 57.6 by 2

= 28.8

For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\)  is  \($\sin^{-1}\frac{x}{a} + C$.\)

A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.

The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.

For given problem,

\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)

Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)

\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)

\($= \int d\theta$\)

\($= \theta + C$\)

Substituting back for\($x = a\sin\theta$:\)

\($= \sin^{-1}\frac{x}{a} + C$\)

Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)

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Set up a proportion!

40 minutes / 5 holes = m minutes / 20 holes

Cross multiply.

800 = 5m

m = 160.

It will take him 160 minutes to dig 20 post holes.

Good luck Fabian!

Hope this helps

(u - 5 + (7))(u - 5 - (7)) = 0 is the equation we created in u that simplifies to 2u2 - 20u + 36 = 0.

The two forms of equations are identity equations and conditional equations. The variables all have the same identity for all conceivable values.

Creating an equation in u that can be solved for 2u² - 20u + 36 = 0

It indicates that the following are the solutions for x for a quadratic equation of the form ax² + bx + c = 0:

x = (-b±√(b²-4ac))/2a

By dividing both sides by 2, we can rewrite the equation 2u2 - 20u + 36 = 0 as follows:

u² - 10u + 18 = 0

u = (-(-10) ± √((-10)² - 4(1)(18))) / 2(1)

Simplifying this expression, we get:

u = (10 ± √(100 - 72)) / 2

u = (10 ± √(28)) / 2

u = (10 ± 2√(7)) / 2

u = 5 ± √(7)

A quadratic equation with roots r1 and r2 can be expressed as: This allows us to merge the two solutions into a single equation.

(x - r1)(x - r2) = 0

By substituting in the two answers we discovered for u, we obtain:

(u - 5 + √(7))(u - 5 - √(7)) = 0

Extending this phrase results in:

u² - 10u + 18 = 0

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Get a robot to do it. I'll leave the link in the comments.

Answer:

12.5

30

68.5

Step-by-step explanation:

Answer:

u need my help OK bet

Step-by-step explanation:

so heres tge answer

Answer:

is it x(1,4) y(6,1) z(5,2)

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According to the Question, The interest earned in 4 years is $1,954.83.

What is compounded quarterly?

A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.

The principal is $10,000.

The annual interest rate is 4.5%, which is compounded quarterly.

Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.

The formula for calculating the future value of a deposit with quarterly compounding is:

\(P = (1 + \frac{r}{n})^{nt}\)

Where P is the principal

The annual interest rate is the number of times the interest is compounded in a year (4 in this case)

t is the number of years

The interest earned equals the future value less the principle.

Therefore, the interest earned can be calculated as follows: I = FV - P

where I = the interest earned and FV is the future value.

Substituting the given values,

\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)

The future value is:

\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)

Therefore, the interest earned is:

\(I = $11,954.83 - $10,000= $1,954.83\)

Thus, the interest earned in 4 years is $1,954.83.

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