If triangle ABC is congruent to triangle DEC angle b = x + 15 and angle e = 6x - 65

Answer:

((3 / 14) * 3) / 14 = 9 / 196

Step-by-step explanation:

Reduce 9/196 to lowest terms 9 196 is already in the simplest form. It can be written as 0.045918 in decimal form (rounded to 6 decimal places).

Answer:

\( \huge \purple{m < \frac{71}{7} } \\ \)

Step-by-step explanation:

\(170 - 7m > 99\)

Move 170 to the right side of the inequality

\( - 7m > 99 - 170 \\ - 7m > - 71\)

Divide both sides by - 7

\( \frac{ - 7m}{ - 7} > \frac{ - 71}{ - 7} \\ m > \frac{71}{7} \)

Flip the signs

We have the final answer as

\(m < \frac{71}{7} \\ \)

Hope this helps you

Answer:

the answer is A. so 10

the f-test statistic to test the claim that the population variances are equal is F test = 2.54

We are given two samples

Standard deviation of the first sample = 2.1971

Standard deviation of the second sample = 7.32

F test statistic = Variance of the Larger sample/ Variance of the smaller sample

Variance = (Standard deviation)²

Variance for the first sample = 2.1971²

= 4.8272

Variance for the second sample = 7.32² = 53.5824

F test = 53.5824/4.8272

= 11.100

Therefore, the F test approximately = 11.100

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Answer: 21.69 g

Step-by-step explanation:

Find the amount of compound produced when 300 mg of catalyst is added

Given:

Equation: A = 0.06c + 3.16

c = 300 mg

Substituting c = 300 into the equation and solving for A

A = 0.06 * 300 +3.69

A = 18 + 3.69

A = 21.69

Therefore 21.69 g of compound will be produced

For all non-negative integers j, the value of 'a' after line 4 has executed exactly j times is f(j).

We will employ mathematical induction to demonstrate that the value of 'a' after line 4 has executed exactly j times is f(j) for all non-negative integers j.

The Basis: We must demonstrate that the value of 'a' is f(0) after line 4 has executed 0 times for j = 0. f(0) equals 0 according to the given definition. The base case applies because "a" is given the value 0 after line 1.

Hypothesis Inductive: Inductive Step: Assume that the value of 'a' is f(j) for some non-negative integer j after line 4 has been executed exactly j times. Based on the assumption in the inductive hypothesis, we must demonstrate that the value of 'a' is f(j+1) after line 4 has executed j+1 times.

After the j-th emphasis, 'a' is equivalent to f(j) and 'b' is equivalent to f(j-1). Line 4 of the (j+1)-th iteration gives "a" the value of "b," which is f(j-1) in addition to "a," which is f(j) in itself. This indicates that "a" changes into f(j-1) + f(j) after the (j+1)-th iteration.

We know that f(j+1) = f(j-1) + f(j) from the definition of the Fibonacci sequence. Therefore, the value of "a" following the (j+1)-th iteration is f(j+1).

We can deduce, based on the mathematical induction principle, that the value of 'a' after line 4 has executed exactly j times for all non-negative integers j is f(j).

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Answer:678.24 :)

Step-by-step explanation:

v=sh

=pi(r^2-v^2)*h

=pi(5^-2-4^2)*24

=pi-9*24

=678.24 in

Answer:

Tuesday=81

Step-by-step explanation:

since 4 x 9 = 36, you have to multiply 9 x 9, which equals 81.

for Wednesday, 4 x 11 = 44, so you have to multiply 9 x 11, which = 99.

for the chart, do something like the photo i am showing for Tuesday (i already made it)

Answer:

h = 440.94 feet

Step-by-step explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

\(\tan\theta=\dfrac{P}{B}\\\\\tan\theta=\dfrac{h}{x}\\\\h=x\tan\theta\\\\h=370\times \tan50\\\\h=440.94\ \text{feet}\)

So, the approximate height of the building is 440.94 feet

The options that are included in the different system implementation methods are:

a. Phased implementation

b. Project implementation

c. Parallel implementation

e. Pilot implementation

System implementation is the process of introducing a new system or making changes to an existing one. There are several methods for system implementation, each with its advantages and disadvantages.

Phased implementation: This method involves introducing the new system in phases, where each phase is implemented and tested before the next one is started. This approach is suitable for large and complex systems, as it allows for thorough testing and minimizes risks.

Project implementation: This method involves introducing the new system all at once, often after an extensive planning phase. This approach is suitable for smaller systems, where risks can be managed, and a quick implementation is desirable.

Parallel implementation: This method involves running the old and new systems simultaneously for a period of time. This approach allows for a gradual transition to the new system, with minimal disruption to operations.

Pilot implementation: This method involves introducing the new system to a small group of users or departments first. This approach allows for thorough testing and provides an opportunity for feedback and adjustment before a full-scale implementation.

The other options provided, such as planning implementation, perfecting implementation, and plunge implementation, are not commonly used terms in the context of system implementation.

Ultimately, the choice of system implementation method will depend on factors such as the size and complexity of the system, the available resources, and the desired outcomes.

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Let's denote the time it took Juan Pablo to drive from home to college as "t1" and the time it took him to drive back from college to home as "t2". We know that the average speed is equal to the total distance divided by the time taken.

The distance from home to college is the same as the distance from college to home, so we can denote it as "d".  Using the formula: Speed = Distance / Time, we can write the equations: 59.6 = d / t1     (Equation 1) 67.2 = d / t2     (Equation 2) We are also given that the total round trip took 10 hours, so we have the equation: t1 + t2 = 10     (Equation 3) To solve these equations, we can rearrange Equation 1 and Equation 2 to solve for "d" in terms of "t1" and "t2": d = 59.6 * t1     (Equation 4) d = 67.2 * t2     (Equation 5) Now, substituting Equation 4 and Equation 5 into Equation 3, we get: 59.6 * t1 + 67.2 * t2 = 10 Solving this equation will give us the values of t1 and t2. However, we need additional information to find a unique solution for t1 and t2.

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Answer:

35/3

Step-by-step explanation:

First get the daily:

20/12 = 5/3

Then the weekly:

5/3 x 7/1 = 35/3

The unit rate in gallons per week is 35/3 gallons per week.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that a tank pumps out liquid at a rate of 12 gallons every 20 days. The unit rate in gallons per week will be calculated as:-

First, get the daily:

20/12 = 5/3

Then the weekly:

5/3 x 7/1 = 35/3 gallons per week

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The next time when a train and a bus leave the station together is 4:30pm.

The next time when a train and a bus leave the station together will be the least common multiple (LCM) of the two intervals, 8 minutes and 10 minutes.

To find the LCM of 8 and 10, we can list the multiples of each number until we find a common multiple:
8: 8, 16, 24, 32, 40
10: 10, 20, 30, 40

The LCM of 8 and 10 is 40. This means that a train and a bus will leave the station together every 40 minutes.

Since the train and bus both leave the station at 3:50pm, the next time they will leave together will be 40 minutes later, at 4:30pm.

Therefore, the next time when a train and a bus leave the station together is 4:30pm.

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Solve by completing the square:

We have to find the third term for x^2+6x in order to complete a binomial (x+3)^2:

So we have to add 9:

Then, we apply the square root:

Answer: The solutions are x=-4 and x=-2

Answer:

x = - 4, x = - 2

Step-by-step explanation:

x² + 6x + 8 = 0 ( subtract 8 from both sides )

x² + 6x = - 8

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = - 8 + 9

(x + 3)² = 1 ( take square root of both sides )

x + 3 = ± \(\sqrt{1}\) = ± 1 ( subtract 3 from both sides )

x = - 3 ± 1

Then

x = - 3 - 1 = - 4

x = - 3 + 1 = - 2

Answer:

7n

Step-by-step explanation:

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Option (d) is the correct choice.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

A parallelogram has the following qualities:

The opposing sides are equally spaced and parallel.

Angles on either side are equal.

The following or neighboring angles are supplemental.

All of the angles will be at right angles if any one of them is a right angle.

The two diagonals cut across one another.

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I have no idea but maybe if you would pay attention in class you would know how to do it. I just need my points so I can keep getting answers. good luck tho

Answer:

Piece1:  12.7 meters

Piece2:  39.9 meters

Product of the two to nearest tenth: 506.7

Step-by-step explanation:

Piece1:   x

Piece2:  x + 27.2

x + x + 27.2 = 52.6

2x + 27.2 = 52.6

2x = 25.4

x = 12.7

Piece1:   12.7

Piece2:  12.7 + 27.2 = 39.9

Product of the two pieces:

12.7 * 39.9 = 506.73

The value of the n for the given algebraic equation is=12.

The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added to a variable before being multiplied by it.

The given algebraic expression is

-4.3+1.2n=10.1

Add 4.3 on both sides

1.2n=10.1+4.3

1.2n=14.4

divide 1.2 into both sides

n = 14.4÷1.2

n = 12

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among the given options, the use of correlational statistics OPTION B is the most reliable indicator that a study employed a bivariate correlational design.

A bivariate correlational design is characterized by the examination of the relationship between two quantitative variables. In this context, the use of correlational statistics is a key indicator of this design. Correlational statistics, such as correlation coefficients (e.g., Pearson's r), are employed to assess the strength and direction of the relationship between the variables under investigation.

The presence of measured variables, inclusion of quantitative variables, or depiction of a bar graph are not definitive indicators of a bivariate correlational design. Measured variables can be present in various study designs, including experimental ones. Similarly, quantitative variables can be utilized in different types of studies, such as experimental, quasi-experimental, or observational designs. The depiction of a bar graph, which is commonly used to illustrate categorical data, does not inherently imply the use of a bivariate correlational design.

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Answer:

56°

Step-by-step explanation:

call the unknown side length L.

then 5² + L² = 9²

L² = 9² - 5²

    =81 - 25

    = 56

L =√56

(sin x)/√56  = (sin 90)/9

sin x = (√56 X sin 90)/9 = √56 /9

x = sin^-1 (√56 / 9)

  = 56.25°

  = 56° to nearest degree

Answer:

the right answer is a and e

Answer:

A and e

Step-by-step explanation:

i did this test

Answer:

Correct

Step-by-step explanation:

GIVEN:

We are given a right triangle with the sides labeled as indicated.

Required;

To find the value of the missing side, x.

Step-by-step solution;

For any right angled triangle, the value of a missing side can be calculated using the Pythagoras' theorem, provided the other two sides are given.

The theorem states thus;

We can now substitute and solve as follows;

Now we take the square root of both sides and we have;

Therefore;

ANSWER:

Answer: 173.82cm^2

Step-by-step explanation:

Answer:

3rd Option    -     3(x-4) = 6x

Step-by-step explanation:

To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :

\(\frac{3}{x} = \frac{6}{x-4}\)   ----->  \({3}= \frac{6x}{x-4}\) (As you can see the x now goes to the numerator of the right side)

Now to remove x-4 under 6x we do the following :

\({3}= \frac{6x}{x-4}\)   ------> \(3(x-4)= {6x\)

Therefore giving our answer as the 3rd option.

Hope this helped and have a good day

Answer:

96 degrees

Step-by-step explanation:

Answer:

x = 5°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 50° = 10x

10x = 50

x = 5°

HOPE IT HELPS!!!

The resulting polynomial expression is 3x⁴ + 11x³ - 31x² - 99x + 36, and the correct answer is (A) -4x² - 2x + 4, which matches this expression after combining like terms.

To find the sum of the given polynomials, we need to multiply them using the distributive property and then combine like terms. This involves multiplying each term of the first polynomial by each term of the second polynomial, then simplifying the resulting expression by combining any like terms. After performing the multiplication and simplification steps, we end up with the polynomial expression 3x⁴ + 11x³ - 31x² - 99x + 36. Therefore, the correct answer is (A) -4x² - 2x + 4, which matches this expression after combining like terms.

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Answer:

f(x) = -x -11

    = -9-11 = -20

f(x) = -x-11

    = -6-11= -17

Step-by-step explanation: