that any pair of congruent triangles is similar True or false.

Answer:

slope intercept form: y = mx + b

6x - 4y = 24

4y = 6x - 24

y = 3/2x - 6

slope: 3/2

y intercept: - 6

Answer:

y = 3/2 x -6

The slope is 3/2 and the y intercept is -6

Step-by-step explanation:

6x-4y = 24

The slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

We need to solve the equation for y

6x-4y =24

Subtract 6x from each side

6x-4y-6x =-6x+24

-4y = -6x+24

Divide each side by -4

-4y/-4 = -6x/-4  + 24/-4

y = 3/2 x -6

The slope is 3/2 and the y intercept is -6

The additional information would you want to know about the survey before you accepted the results of the study will be:

In research of human subjects, a survey is a list of questions aimed for extracting specific data from a particular group of people.

Surveys may be conducted by phone, mail, through the internet or in malls. From the information, a recent survey points to the transformation underway in the automotive retail landscape.

It is important to know the sampling design that was used, the population from which the design was selected and the response rate.

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the area of the rectangle is 80. 1  cm²

From the given information, let's say one side of rectangle = a

The other side  =  (36 - 2a)/2  

=  18 - a   cm

The angles between the diagonals of the rectangle is 78°

Then, the angle diagonal has with base will give

=  (180° - 78°)/2

= 102/2

= 51°

We have the angle to be 51 degrees, using the tan ratio

Tan θ = opposite/ adjacent

Opposite of angle 51 degrees = a

Adjacent = 18 - a

Thus,

[tex]tan 51 = \frac{a}{18 - a}[/tex]

[tex]1. 2349 = \frac{a}{18-a }[/tex]

cross multiply

[tex]18 -a ( 1. 2349) = a[/tex]

[tex]22. 23 - 1. 2349a = a[/tex]

collect like terms

[tex]a + 1. 2349a = 22. 23[/tex]

[tex]2. 2349 a = 22. 23[/tex]

[tex]a = \frac{22. 23}{2. 2349}[/tex]

a = 9. 95

If a = 9. 95cm

Then, 18 - a = 18 - 9. 95 = 8. 05cm

The formula of area of a rectangle is given as;

Area = width × length

Area = 9.95 x 8.05

Area = 80. 1  cm²

Thus, the area of the rectangle is 80. 1  cm²

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The distance d is 9 ft and the height is 12ft.

Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.

The height is one cathetus and the distance is the other catheti.

Let's define:

We know that the height of the tower is 3 ft larger than the distance, then:

h = d + 3ft

Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.

Then:

[tex]d^2 + (d + 3ft)^2 = (15ft)^2[/tex]

Now we can solve this equation for d:

[tex]d^2 + d^2 + 6ft*d + 9ft^2 = (15ft)^2\\\\2d^2 + 6ft*d - 216 ft^2 = 0\\\\d^2 + 3ft*d - 108ft^2 = 0[/tex]

Then the solutions are:

[tex]d = \frac{-3ft \pm \sqrt{(3ft)^2 - 4*(-108ft^2)} }{2} \\\\d = \frac{-3ft \pm 21ft }{2}[/tex]

We only take the positive solution:

d = (-3ft + 21ft)/2 = 9ft

And the height is 3 ft more than that, so:

h = 9ft + 3ft = 12ft

The distance d is 9 ft and the height is 12ft.

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At 90 degrees, the tangent of x is undefinable.

The domain of y = tan (x):

y = tan(x)

Except for 90, all sets of positive real numbers fall within the domain of y = tan(x).

At 90 degrees, the tangent of x is undefinable.

Due to the exclusion of 90, all sets of positive real numbers are included in the domain of y = tan(x).

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The functions could represent g(x) is B. [tex]g(x) = f(x - 5)[/tex]

Using the general equation [tex]g(x) =f(x)+ b[/tex]

The g(x) has intercept of y=-2,

Then the  y-intercept of f(x) is at y=3

If we find the difference between both y-intercepts, we have

( -2 -3) = -5

Then b=-5

Hence, [tex]g(x) = f(x - 5)[/tex] is correct.

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Answer:  

- 2/3

Step-by-step explanation:

Answer:

Any equation that has the same slope as the line y = -2/3x + 1 but a different y-intercept will be parallel because the lines will never intersect. For example, y = -2/3x + 2 or y = -2/3x + 3.

Brainliest, please :)

The complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.

The polynomial is given as:

12x^3 - 5x^2 + 6x + 9

The first term in the above equation is 12 i.e. 12x^3, while the last term is 9

To determine the possible rational roots, we divide the factors of the last term i.e. 12 by the factors of the first term i.e. 12

Hence, the complete statement is (d) Any rational root of f(x) is a factor of 9 divided by a factor of 12.

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Answer:

D

Step-by-step explanation:

I took the test

The total Stockholders’ Equity  is $4,367,000

Common Stock, $50 par $2,400,000

Paid-In Capital in Excess of Par—Common Stock $576,000

Paid-In Capital from Sale of Treasury Stock $48,000

Total paid in capital $3,024,000

Retained Earnings $1,368,000

Less Treasury stock  $25,000

Total Stockholders’ Equity $4,367,000

Therefore the total Stockholders’ Equity  is $4,367,000.

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From the calculation, we can see that /BC/ is 8 sin 35. Option D

We can see the image of the triangular piece of cloth as shown in the image. This shows that we have to approach the problem by the use of the trigonometric ratios.

Hence;

/AC/ = 8 in

/BC/ = x

<A = 35 degrees

Sin 35 = /BC//8

/BC/ = 8 sin 35

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Answer:

305.25

Step-by-step explanation:

18.5 for one floor, multiply by 15 to get the amount for 15 floors: 18.5*15 = 277.5 sheets

We need to add 10% for waste, meaning 277.5 plus the waste: 1.1*277.5 = 305.25

The drywaller needs to order 306 core boards for the 15-story elevator shaft, considering the 10% waste.

calculate the number of core boards needed for the 15-story elevator shaft, we can follow these

Calculate the total number of sheets for all floors:

Total sheets = Number of floors × Sheets per floor

Total sheets = 15 floors × 18.5 sheets per floor

Total sheets = 277.5 sheets

Add 10% of the total for waste:

Waste percentage = 10% = 0.10 (in decimal form)

Waste sheets = Total sheets × Waste percentage

Waste sheets = 277.5 sheets × 0.10

Waste sheets = 27.75 sheets

Calculate the final number of boards needed (including waste):

Number of boards = Total sheets + Waste sheets

Number of boards = 277.5 sheets + 27.75 sheets

Number of boards = 305.25 sheets

Since you can't have a fraction of a sheet, we need to round up to the nearest whole number.

Therefore, the drywaller needs to order 306 core boards for the 15-story elevator shaft, considering the 10% waste.

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The equation that represents the situation is 3x + 5  = 23

She is brings 3 markers for each person in her group and 5 extra markers for everyone to share.

She brings in 23 markers in all.

Therefore, the equation that represents this situation is as follows:

lets

x = number of students in the group

Therefore,

3x + 5  = 23

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[tex](2m+1)+(2n+1)=2m+2n+2\\\\=2(m+n+1)[/tex]

There are two real roots for the quadratic equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.

In this question we must apply algebraic handling to simplify a quadratic equation and find the roots that satisfy the expression. Completing the square consists in transforming part of the equation into a perfect square trinomial, and then we clear for x:

x² - 8 · x + 13 = 0

x² - 8 · x + 16 = 3

(x - 4)² = 3

x - 4 = ± √2

x = 4 ± √2

There are two real roots for the quadratic equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.

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The difference in the cost per ounce is $0.05 per ounce

Fractions are written as the ratio of two integers

If a 12-ounce jar of jam costs $2.40, the cost per ounce will be:

Unit cost = 2.40/12

Unit cost = $0.2

Similarly, if a 16-ounce jar costs $4.00, the price of a ounce will be:

Unit cost = 4/16

Unit cost. =$0.25

difference = $0.25 - $0.2

difference = $0.05

Hence the difference in the cost per ounce is $0.05 per ounce

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If the value of a is negative, the line is reflected across any of the axis

The equation is given as:

y = ax

The new line is given as

y = -ax

The above implies that y = ax is transformed to y = -ax

The transformation can be any of:

Hence, if the value of a is negative, the line is reflected across any of the axis

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Answer:

Step-by-step explanation:

(4, 2)

will you brainlyest?

Answer: B is dependent and M is independent

Step-by-step explanation:

This is because the question says that they are raising money to buy books. In order to buy the books, they must raise money. So they raise money than buy the books which makes buying the books dependent on how much they raise.

Answer:

C. 3(x+1)(x-1)-4x

Step-by-step explanation:

3(x+1)(x-1)-4x

(x+1)(x-1)=x^2-1

3(x^2-1)-4x

3x^2-4x-3

The equation in point slope form is given as y+3 = -5/8(x-4)

The formula for calculating the equation of a line in point-slope form is expressed as:

y-y1= m(x-x1)

Given the coordinate point

Slope = 2-(-3)/-2-4
Slope = 5/-8

Determine the equation

y-(-3) =-5/8(x-4)

y+3 = -5/8(x-4)

Hence the equation in point slope form is given as y+3 = -5/8(x-4)

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Linking each equation with its equivalent equation below:

Equivalent equation can be defined as an equation that has the same value with another equation.

Equivalent equation are not directly the same but can be transformed to look like each other.

In conclusion, The equivalent equations have been matched in the list above.

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The final percent of juice is 10%

We initially have one quart that is 40% juice and 60% water.

Then initially we have:

Then we add another 3 quarts of water, so the new mixture has:

So we have 4 quarts of mixture.

The new percentage of juice will be:

P = (0.4 quarts/4 quarts)*100% = 10%

The final percent of juice is 10%

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The probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977

Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events

The given parameters are:

Mean = 0.8

Variance = 0.0004

Calculate Standard deviation using

σ = √σ²

This gives

σ = √0.0004

Evaluate

σ = 0.2

Calculate the z-score at x = 0.84 using

z = (x - [tex]\bar x[/tex])/σ = √σ²

This gives

z = (0.84 - 0.8)/0.02

Evaluate

z = 2

The probability is then represented as:

P(x > 0.84) = P(z > 2)

Next, we look up the value of the z table of probabilities

From the z table of probabilities, we have:

P(x > 0.84) = 0.977

Hence, the probability that the diameter of a randomly selected pipe will exceed 0.84 inch is 0.977

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(a). All four sides are equal and the angles are right-angled (90 degrees).

(b). A quadrilateral has no pairs of parallel sides is a Kite and irregular trapezium.

(c). A triangle having one pair of equal sides and one pair of equal angles is an isosceles Triangle.

One of the first areas of mathematics is geometry, along with arithmetic. It is focused on spatial characteristics that relate to the proximity, size, shape, and relative placement of objects.

(a). Two features that make the shape square are all four sides equal and the angles are right-angled (90 degrees).

(b). A quadrilateral has no pairs of parallel sides is a Kite and irregular trapezium.

(c). A triangle having one pair of equal sides and one pair of equal angles is an isosceles Triangle.

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Answer:

Step-by-step explanation:

The given relation between length and width can be used with the area formula to write an equation for the dimensions of the rectangle.

Let w represent the width of the rectangle. The length is 3 more than twice that, so is (2w+3). The area is the product of length and width.

  A = LW

  54 = (2w +3)(w)

Rewriting this equation to standard form gives ...

  2w² +3w -54 = 0

  (2w -9)(w +6) = 0 . . . . factored

  w = 9/2, -6 . . . . . . . . . values that make the equation true

Only the positive width makes sense in a geometry problem, so we have ...

  w = 9/2

  length = 2w +3 = 12

The length of the rectangle is 12 meters; its width is 4.5 meters.

Answer:

===============

As per given, the missing interior angle is corresponding with 40° angle.

Since corresponding angles are equal, the third interior angle of the triangle is 40°.

Sum of three interior angles is 180°:

Apply angle sum property

The answer is 140

The number of ways when the choice is not relevant is 4

The number of colors are:

Colors, n = 4

The color to choose are:

r = 3

Relevant choice

When the choice is relevant, we have:

[tex]Ways = ^nP_r[/tex]

This gives

[tex]Ways = ^4P_3[/tex]

Evaluate

Ways = 24

Hence, the number of ways when the choice is relevant is 24

Not relevant choice

When the choice is not relevant, we have:

[tex]Ways = ^nC_r[/tex]

This gives

[tex]Ways = ^4C_3[/tex]

Evaluate

Ways = 4

Hence, the number of ways when the choice is not relevant is 4

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[tex]|\Omega|=15\\|A|=7+4=11\\\\P(A)=\dfrac{11}{15}\approx73.3\%[/tex]

Answer:

RED COUNTER: 7/15

BLUE COUNTER: 4/15

Hope it helps,

for further explanation do contact me

Using the binomial distribution, it is found that:

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

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