Can someone help me with this thingy thing thing

S1: m || n

S2: m∠2 ≅ m ∠3

R3: Corresponding angles postulate

R5: Linear pair angles are also supplementary angles

S7: m∠1 + m∠2 =180°

What is linear pair?

An angle pair that is linear is produced when two lines intersect at a single point. The terms "linear" and "rectangular" are used to describe angles that follow the intersection of two lines in a straight line. Total angles of a linear pair are always equal to 180°.

Given that line m and line n are parallel to each other.

Statement 1: m || n

Reason 1: Given

Corresponding angles postulate: When a transversal divides two parallel lines, the resulting angles are congruent.

Statement 2: m∠2 ≅ m ∠3

R2: Corresponding angles postulate

S3: m∠2 ≅ m ∠3

R3: Corresponding angles postulate

Statement 5: ∠1 is supplementary to ∠2.

Reason 5: The linear pair angles are also supplementary angles.

Statement 7: m∠1 + m∠2 = 180°

Reason 7: Substitution property of equality

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Answer:

The answer is 43.68.

Step-by-step explanation:

Answer:

43.68

You need to multiply height times width in order to find area so I multiplied 5.2 times 8.4

Answer:

\(first \: w \: do \\ \\ 180 - 154 \\ \\ = 26 \\ \\ second \: we \: do \: \\ \\ x + 10 + x + 26 = 180 \\ \\ 2x + 36 = 180 \\ \\ 2x = 180 - 36 \\ \\2 x = 144 \\ \\ x = \frac{144}{2} \\ \\ x = 72\)

Answer:

Step-by-step explanation:

The exterior angle is the sum of non-adjacent interior angles:

The other interior angle is 82°

Answer:

Follows are the responses to this question:

Step-by-step explanation:

In this question, if both quadratic trinomials include opposite \(x^2\) terms of signs, it's indeed possible that's also possible, which is why the quadratic \(x^2+2x +1 \ and \ -x^2 + 4x -5\) cancels the  \(x^2 \ to\ 6x- 4\), which would be a linear binomial.  that's why this statement is true that the "two quadratic trinomials have \(x^2\) -terms in signs opposite".

The coefficients of the terms whose exponents are two, should be added to zero to get the linear binomial.

The general form of a quadratic equation is given as ax^2 + bx + c = 0.

Here, a ≠ 0 and b and c are integers.

The degree of a quadratic equation is 2.

Suppose the two quadratic trinomials are given as follows,

p(x) = a₁x² + b₁x + c₁

And, q(x) = a₂x² + b₂x + c₂.

The sum of these trinomials are given as,

p(x) + q(x) =  a₁x² + b₁x + c₁ + a₂x² + b₂x + c₂.

⇒ p(x) + q(x) = (a₁ + a₂)x² + (b₁ + b₂)x + (c₁ + c₂)

In order of the sum to be a linear binomial, the coefficient of x² should be zero.

Then, it can be written as,

a₁ + a₂ = 0

⇒ a₁ = -a₂

Hence, the required result can be obtained when the sum of the coefficients of x² is zero.

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Answer:

To find the solution to the system of equations, we need to find the values of x and y that make both equations true at the same time.

The pairs of points you provided are coordinates (x,y) which we can use to find the solution.

For the pair of points (1.8, 11.4) and (-2.8, -2.4)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(1.8) = 31.8 + 6 = 7.4

g(1.8) = 1.8^2 + 41.8 + 1 = 11.16

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

For the pair of points (0,6) and (0, 1)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(0) = 30 + 6 = 6

g(0) = 0^2 + 40 + 1 = 1

As we can see both equations are true at the same time, this is the solution of the system of equations.

For the pair of points (-3.7,0) and (-0.27,0)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(-3.7) = 3*(-3.7) + 6 = -7.1

g(-3.7) = (-3.7)^2 + 4*(-3.7) + 1 = 13.69

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

For the pair of points (2.8, 5.1) and (3.6, 1.2)

We can substitute the x and y values of the first point into both equations and check if they are true.

f(2.8) = 32.8 + 6 = 11.4

g(2.8) = 2.8^2 + 42.8 + 1 = 21.96

As we can see the first equation is not true, we can safely assume that this is not the solution of the system of equations.

So the solution of the system of equations is (0,6) and (0, 1)

Answer:

(-2/7,2/3)

Step-by-step explanation:

Let's solve for x.

−7x+3y=2

Step 1: Add -3y to both sides.

−7x+3y+−3y=2+−3y

−7x=−3y+2

Step 2: Divide both sides by -7.

−7x/ −7 = −3y+2/ −7

x= 3/ 7 y+ −2/ 7

Answer:

x= 3/ 7 y+ −2/ 7

Let's solve for y.

−7x+3y=2

Step 1: Add 7x to both sides.

−7x+3y+7x=2+7x

3y=7x+2

Step 2: Divide both sides by 3.

3y/ 3 = 7x+2/ 3

y= 7/ 3 x+ 2/ 3

Answer:

y= 7/ 3 x+ 2/ 3

Answer:  

x=4.5

Step-by-step explanation:

4x+14=32

subtract 14 on both sides

32-14=18

4x=18

divide 4 on both sides

x=4.5

Answer: x = 4.5

Step-by-step explanation:

4x + 14 = 32

Subtract 14 from each side

4x = 18

Divide by 4 on each side

x = 4.5

Answer:

m1 = 112 vertical angle

m2 = 180- 112= 68

m3 = 68 vertical with m2

m5 = 112 corresponding with m1

m6 = 68 corresponding with m2

m7 = 68 vertical with m6

m8 = 112 vertical with m5

The volume of the triangular prism is 216 cubic meters.

To find the volume of a triangular prism, we need to multiply the area of the triangular base by the length of the prism.

Calculate the area of the triangular base.

The base of the triangular face is given as 8 meters, and the height is 9 meters. We can use the formula for the area of a triangle: area = (1/2) * base * height.

Plugging in the values, we get:

Area = (1/2) * 8 meters * 9 meters = 36 square meters.

Multiply the area of the base by the length of the prism.

The length of the prism is given as 12 meters.

Volume = area of base * length of prism = 36 square meters * 12 meters = 432 cubic meters.

Adjust for the shape of the prism.

Since the prism is a triangular prism, we need to divide the volume by 2.

Adjusted Volume = (1/2) * 432 cubic meters = 216 cubic meters.

Therefore, the volume of the triangular prism is 216 cubic meters.

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The relative frequencies in percentage are:

A: (3 / 37) * 100 = 8.1%

B: (12 / 37) * 100 = 32.4%

C: (14 / 37) * 100 = 37.8%

D: (5 / 37) * 100 = 13.5%

F: (3 / 37) * 100 = 8.1%

To determine the relative frequencies in percentage, we first find the total number of data points. In this case, it is the sum of the frequencies of each grade: 3 + 12 + 14 + 5 + 3 = 37.

Next, we divide each frequency by the total number of data points and multiply by 100. This gives us the relative frequency of each grade as a percentage.

For example, the relative frequency of grade A is (3 / 37) * 100 = 8.1%, which means that 8.1% of the data points belong to grade A. Similarly, we can find the relative frequency of each of the other grades.

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Answer:

5,640/15=y

y•15=5,640

Its 10.4 you are correct

Answer:

Step-by-step explanation:

(2,-5)

Answer:

option d

corresponding

Answer:

-10 and -3

Step-by-step explanation:

hope this helps and have a nice day!

Answer:

10 and 3. Hope this helps (:

Step-by-step explanation:

The cumulative distribution function (CDF) for the number of sixes scored when two fair six-sided dice are thrown is as follows: 0 | 0, 1 | 1/36 , 2 | 5/36, 3 | 10/36, 4 | 15/36, 5 | 21/36, 6 | 25/36, 7 | 30/36, 8 | 35/36, 9 | 40/36, 10 | 45/36, 11 | 50/36, 12 | 55/36.

To construct the cumulative distribution function (CDF) for the given discrete random variables and create bar plots using R Studio, we will follow these steps for each variable: a) The number of sixes scored when two fair six-sided dice are thrown: The random variable can take values from 0 to 2, as there can be 0, 1, or 2 sixes scored. We calculate the probabilities for each outcome and then compute the cumulative probabilities. The CDF represents the cumulative probabilities for each value. We can use the "barplot" function in R Studio to create a bar plot representing the CDF. b) The number of heads when three fair coins are tossed: The random variable can take values from 0 to 3, as there can be 0, 1, 2, or 3 heads obtained. Similar to the previous case, we calculate the probabilities for each outcome and compute the cumulative probabilities. We use the "barplot" function in R Studio to generate a bar plot illustrating the CDF. By plotting the CDFs as bar plots, we can visualize the probabilities associated with each value of the random variable and observe how they accumulate as we move through the possible outcomes.

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Two of them have the same remaining. The proof using the pigeonhole principle is now complete.

When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.

If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.

So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.

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The \(x^{th}\) number in the sequence will be   \(F[x]=\dfrac{5}{2} F[x]\)

The given function is

\(F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}\)

Now at  \(x=x+1\) for the function

\(F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x+1-1}\)

\(F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x }\)

Now we can write

\(F[x+1]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1} \dfrac{5}{2}^1\)

Since     \(F[x]=\dfrac{3}{2} \times \dfrac{5}{2}^{x-1}\)

so

\(F[x]=\dfrac{5}{2} F[x]\)

Thus the \(x^{th}\) number in the sequence will be   \(F[x]=\dfrac{5}{2} F[x]\)

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Answer:

A

Step-by-step explanation:

Took exam and got 100

The closest correlation of rates of return between stocks a and b is approximately -0.487 (negative), indicating opposite movements.

The relationship coefficient between two stocks an and b can be determined utilizing the equation:

relationship coefficient = covariance/(standard deviation of stock a * standard deviation of stock b)

Considering that the covariance between the profits of stocks an and b is - 0.073, and the standard deviation of the paces of return is 0.5 for stock an and 0.3 for stock b, we can substitute these qualities into the recipe to track down the connection coefficient.

relationship coefficient = - 0.073/(0.5 * 0.3) ≈ - 0.487

Consequently, the nearest worth of the connection of the paces of return between stock an and b is - 0.487. This negative relationship coefficient demonstrates that the profits of the two stocks will generally move in inverse bearings. At the point when one stock's return is high, the other stock's return is probably going to be low, as well as the other way around.

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Answer:

the answer is b 455

Step-by-step explanation:

15/(4×12)=455

Answer:

Step-by-step explanation: Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants

Answer: Remove brackets and answer is 27

Step-by-step explanation:

In the given triangle , ∠n = 50° and ∠m = 35°

In the geometry, angle is defined as the geometry formed by the multiple rays. Or we can also say that the angle is a figure formed by two rays with having same initial point. The rays are also known as the sides of the angle. A angle can have two rays.

Some common terms related to angles :

In the given question mark the triangle as ABC and the mid line as point D.

that means,

∠A = ∠n

∠B = ∠m

and, in ΔABC

∠C = 60 + 35 =95

now, as ΔCDB is isosceles triangle therefore,

∠m = ∠C = 35°

Also, as sum of all angle of triangle is 180

Therefore, ∠A + ∠B + ∠C = 180

=> ∠n + ∠m + 95 = 180

=> ∠n + 35 + 95 = 180

=> ∠n = 180- 130

=>∠n = 50

Hence in the triangle given , ∠n = 50 and ∠m = 35

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Answer: |t - 15| ≤ 30 ; -30 ≤ t - 15 ≤ 30

Step-by-step explanation:

To set up the equation, we have to find the center, and the tolerance, so that we can use formula "|x - c| ≤ t"

First, we can find the tolerance by adding both number, then dividing by 2 --> -15 + 45 = 30 --> 30/2 = 15, so we now know that the center is 15

Next, we can find the tolerance by finding the distance between the center and one of the number --> 15 - (-15) = 30, so we now know that the tolerance is 30

Now we can set up our equation,

center (c) = 15

tolerance (t) = 30

|t - 15| ≤ 30

Now that we have our equation, we can set up the inequality

|x - c| ≤ t = -t ≤ x - c ≤ t

so,

-30 ≤ t - 15 ≤ 30

Hope this helps!

(sorry it was so long)

Answer:

I don't get it. Sorry

Step-by-step explanation:

The measure of the smaller interior angle is approximately 144 degrees.

The measure of the larger interior angle is 36 degrees.

Let's denote the measure of the smaller interior angle as x.

According to the given information, the measure of one interior angle (let's call it y) is 0.25 times the measure of the smaller angle. Therefore, we can write the equation:

y = 0.25x

Since a parallelogram has opposite angles congruent, we know that the sum of the measures of the smaller and larger angles is 180 degrees. Hence, we can write another equation:

x + y = 180

Substituting the value of y from the first equation into the second equation, we have:

x + 0.25x = 180

Combining like terms:

1.25x = 180

To find the measure of the smaller angle (x), we divide both sides of the equation by 1.25:

x = 180 / 1.25

x ≈ 144

Therefore, the measure of the smaller interior angle is approximately 144 degrees.

To find the measure of the larger interior angle, we substitute the value of x into the equation:

y = 0.25x

y = 0.25 * 144

y = 36

Hence, the measure of the larger interior angle is 36 degrees.

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Answer:

Haha there is no question

Step-by-step explanation:

The rate at which the distance between the two cars is increasing two hours later is 52 mi/h.

To determine the rate of change of the distance between the cars, we can use the concept of relative velocity. Since one car is moving south and the other is moving west, their velocities are perpendicular to each other. Thus, we can use the Pythagorean theorem to find the distance between them at any given time.

After two hours, the southbound car would have traveled 48 mi/h * 2 h = 96 miles, and the westbound car would have traveled 20 mi/h * 2 h = 40 miles. Therefore, the distance between the cars is the hypotenuse of a right triangle with sides 96 miles and 40 miles.

Using the Pythagorean theorem, the distance between the cars is √(96^2 + 40^2) = √(9216 + 1600) = √10816 = 104 miles.

Since two hours have passed, the rate at which the distance is increasing is 104 miles / 2 hours = 52 mi/h. Therefore, the distance between the cars is increasing at a rate of 52 mi/h.

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Answer:A B C and D because there are usually 4 points

Step-by-step explanation:

In a graph, X and Y are two axes that are used to plot data points.

X represents the independent variable and Y represents the dependent variable. The relationship between the two variables is represented by a mathematical equation which is usually represented by a line on the graph. A graph is a visual representation of data in which points on a plane are used to represent values of a particular variable. X and Y are two variables that are typically used in a graph. X is the independent variable, which is plotted on the horizontal axis. It is the input or cause that affects the output or effect, which is represented by Y. Y is the dependent variable, which is plotted on the vertical axis. It is the output or effect that is caused by the input of the independent variable. The equation usually takes the form of y = mx + b, where m is the slope of the line, x is the independent variable, y is the dependent variable and b is the y-intercept of the line. In order to calculate the equation of the line, you must have at least two points on the graph. You then plug in the two points into the equation to calculate the slope and intercept. Once you have the equation, you can plot all the other points on the graph and draw the line.

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