Please identify the common angles and sides or if there are non. Explain all work please!

Answer:

1. -10

2. -11

Step-by-step explanation:

Answer:

2(8+4)

Step-by-step explanation:

We have 4 expressions here:

4(4+4):

Since 4*4=16

4(4+4)=16+16

4(4+8):

Since 4*4=16 and 4*8=32

4(4+8)=16+32

2(14+4):

Since 2*14=28 and 2*4=8

2(14+4)=28+8

2(8+4):

Since 2*8=16 and 2*4=8

2(8+4)=16+8

The answer is 2(8+4)!

Hope this helps!

Answer:

7/(6 + x) = 3/(6 - x)

Step-by-step explanation:

The current of the Red Cedar River (the speed with which the river is flowing), v = 6 mph

The time it takes the canoe to travel 7 miles downstream = The time it takes the canoe to paddle 3 miles upstream

Let x represent the rate of the canoe, we have;

7/(v + x) = 3/(v - x)

Substituting v = 6 mph, we get the following rational equation, from which the rate of the canoe, x, can be found;

7/(6 + x) = 3/(6 - x).

Answer:

See Below

Step-by-step explanation:

An inverse relationship between x and y means that while x goes up, y goes down, or vice versa.

This type of relationship can be seen in business or finance.

Answer:

m = 10/.25 = 40 miles

Step-by-step explanation:

At 40 miles the cost of two shuttle services will the same.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, The number of miles be 'x'.

Therefore, The equation for two shuttle services are,

0.10x + 10 and 0.35x.

Therefore, The number of miles for which the cost of the two shuttle services are the same is,

0.10x + 10 = 0.35x.

0.10x - 0.35x = - 10.

- 0.25x = - 10.

0.25x = 10.

x = 10/0.25.

x = 40 miles.

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Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

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

How to get this answer:

The largest angle ABD is 90 degrees because of the small little angle square marker. Another clue is the notation \(BA \perp BD\). The upside down T symbol means "perpendicular", showing the lines BA and BD form a 90 degree angle. The pieces of the angle (ABC = 4x and CBD = 5x) must add up to 90 degrees, or else they wouldn't fit like a jigsaw puzzle.

--------

(angle ABC) + (angle CBD) = angle ABD

4x + 5x = 90

9x = 90 ... combining like terms

9x/9 = 90/9 ... dividing both sides by 9

x = 10

-------

If x = 10, then 4x = 4*10 = 40, which is the measure of angle ABC

If x = 10, then 5x = 5*10 = 50 is the measure of angle CBD

We see that ABC+CBD = 40+50 = 90

Answer:

-2.41

Step-by-step explanation:

rearrange:

12x + 10 + 5x + 31

Or

12x + 5x + 10 + 31

Simplify and set that is = to zero so we can isolate x

17x + 41 = 0

To solve for x, we can isolate x on one side of the equation by subtracting 41 from both sides:

17x = -41

Finally, we can solve for x by dividing both sides by 17:

x = -41/17

therefore, x is equal to approximately -2.41 when we plug it back into the original equation:

12x + 10 + 5x + 31 = 0

12(-2.41) + 10 + 5(-2.41) + 31 = 0

-28.92 + 10 - 12.05 + 31 = 0

0 (which is true)

Answer:

The slope of the line is m = 2

Step-by-step explanation:

We can use the point-slope equation:

\(m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

Where:

\((x_{1},y_{1})\) is the coordinate of the first point

\((x_{2},y_{2})\) is the coordinate of the second point

Here, we can use any pair of points. Let's chose

\((x_{1},y_{1})=(0,5)\)

\((x_{2},y_{2})=(1,7)\)

Using these points in our slope equation, we have:

\(m=\frac{7-5}{1-0}\)    

\(m=\frac{2}{1}\)  

Therefore the slope of the line is m = 2.

I hope it helps you!

Answer:

3x*14

Step-by-step explanation:

The sum of = A number or addition

A Number = Variable or given number

And = Multiplication/Multiply By

Karan swam and biked for a total of 1 hour and 45 minutes.

let's say 60=100 for a total of 100 equaling 1 hour.

Therefore, 100+45= 145

Answer:

30

Step-by-step explanation:

70-40=30

Answer:

Step-by-step explanation:

first, write down on paper 3 5/12 - 8/12 then convert the mixed fraction into a more straightforward form. so 3 5/12 equals 37/12. then you do 37 - 8 = 29 so then change it into a fraction and the answer is 29/12. if you what it as a mixed fraction then it would be 2 5/12

Answer:

572.4 m

Step-by-step explanation:

Fórmula del ángulo de elevación =

tan θ = Opuesto / Adyacente

θ = 3 °

Opuesto = 30 m

Adyacente =?

Por eso

bronceado 3 = 30 m / x

Multiplicar cruzada

bronceado 3 × x = 30 m

x = 30 m / bronceado 3

x = 572.43410063m

Aproximadamente = 572.4 m

Answer:

9

Step-by-step explanation:

Answer:

4 large folders     ( and 8 small folders....with $ 1 left over)

Step-by-step explanation:

x = small    y = large folders

x+y >= 12      x >= 12-y

3x + 5y <= 45

3 (12-y) + 5y <=45

36 -3y + 5y <= 45

    y <= 4.5               you cannot buy .5 of a large folder, so 4 large folders

Answer:

Jeff will have 48 rabbits by May

To find the minimum score of the top 2.5% of students, we need to calculate the z-score corresponding to the 97.5th percentile and then convert it back to the original SAT score scale.

First, let's calculate the z-score using the formula:

z = (x - μ) / σ

where x is the SAT score, μ is the mean (1175), and σ is the standard deviation (120).

To find the z-score corresponding to the 97.5th percentile, we need to find the z-score value that leaves 2.5% in the tail of the distribution (to the right).

Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the 97.5th percentile is approximately 1.96.

Now we can solve for x (the SAT score) in the z-score formula:

1.96 = (x - 1175) / 120

Multiply both sides by 120:

1.96 * 120 = x - 1175

235.2 = x - 1175

Add 1175 to both sides:

235.2 + 1175 = x

1410.2 = x

Therefore, the minimum score of the top 2.5% of students is approximately 1410.

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Answer:

\(\large\boxed{\tt x^{\circ}= 90^{\circ}}\)

Step-by-step explanation:

\(\textsf{We are asked to find the value of x.}\)

\(\textsf{The value of x is an angle for this triangle.}\)

\(\textsf{Note that we are given 2 other angles, we can use what is given to us to solve for x.}\)

\(\large\underline{\textsf{What is a Triangle?}}\)

\(\textsf{A Triangle is a shape with 3 sides, and 3 angles. Sometimes these can be congruent,}\)

\(\textsf{other times, and most of the time they're not. These are called Equilateral}\)

\(\textsf{Triangles. Every Triangle consists of 3 angles that add up to 180}^{\circ}. \ \textsf{If the angles}\)

\(\textsf{don't add up to 180}^{\circ}, \ \textsf{then the shape is not a triangle.}\)

\(\textsf{Now that we know a Triangle has 3 angles that add up to 180}^{\circ}, \ \textsf{we can create an}\)

\(\textsf{equation where x is the \underline{subject}.}\)

\(\large\underline{\textsf{Solving;}}\)

\(\textsf{All 3 angles add up to 180}^{\circ}, \ \textsf{let's create an equation.}\)

\(\tt 180^{\circ} = 37^{\circ} + 53^{\circ} + x^{\circ}\)

\(\textsf{To make x the subject, move x to the other side of the equation by subtracting x.}\)

\(\tt 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} + x^{\circ} - x^{\circ}\)

\(\textsf{We should also move 180}^{\circ} \ \textsf{to the other side of the equation as well.}\)

\(\tt 180^{\circ} - 180^{\circ} - x^{\circ}= 37^{\circ} + 53^{\circ} -180^{\circ}\)

\(\underline{\textsf{We should have;}}\)

\(\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}\)

\(\textsf{We should remove the negative for x by dividing the whole equation by -1.}\)

\(\frac{\tt- x^{\circ}= -180^{\circ} + 37^{\circ} + 53^{\circ}}{-1} \rightarrow \tt x^{\circ}= 180^{\circ} - 37^{\circ} - 53^{\circ}\)

\(\underline{\textsf{Simplify the right side of the equation;}}\)

\(\large\boxed{\tt x^{\circ}= 90^{\circ}}\)

x is present in the algebraic expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

The given expression is: 3x[3(x + y)]^3x[3(x + y)]^3 × (x + 3)(x + y)

To simplify the given expression, we will first solve the expression within the brackets as follows:

(3(x + y))^3 = (3)³(x + y)³ = 27(x + y)³

Now, we will substitute the above value in the expression:

3x[3(x + y)]^3 = 3

x × 27(x + y)³ = 81x(x + y)³

Multiplying both terms of (x + 3)(x + y), we get:

(x + 3)(x + y)

= x(x + y) + 3(x + y) + 3y

= x² + xy + 3x + 3y + yx + 3y

= x² + 4xy + 6y + 3x

The final expression after substituting the value of 3x[3(x + y)]^3 and (x + 3)(x + y) is:

81x(x + y)³ × (x² + 4xy + 6y + 3x)

= 81x(x + y)³x² + 81xy(x + y) + 6xy + 27x(x + y)

= 81x³ + 189xy² + 81x²y + 6xy + 27x² + 81xy

Now, let's check which options are correct:- 3x is present in the expression, therefore, option A is correct.- x is present in the expression, therefore, option B is correct.- x + y is present in the expression, therefore, option D is correct.

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Answer:

A!

Step-by-step explanation:

Answer:

Step-by-step explanation:

The correct statements are:

a. F(0, 1, 0) = 1

c. F(1, 0, 0) = 0

d. F(0, 0, 0) = 1

e. F(0, 0, 1) = 0

Therefore, options a, c, d, and e are correct.

To determine the correctness of each statement, we can substitute the given values of (x, y, z) into the expression for F(x, y, z) and simplify.

a. F(0, 1, 0) = 0 * 1 * 0 + 0 * (1 * 0)' + 0' + (0 * 1 * 0)'

= 0 + 0 + 1 + (0)'

= 1

b. F(1, 1, 1) = 1 * 1 * 1 + 1 * (1 * 1)' + 1' + (1 * 1 * 1)'

= 1 + 1 + 0 + (1)'

= 1 + 1 + 0 + 0

= 2

c. F(1, 0, 0) = 1 * 0 * 0 + 1 * (0 * 0)' + 1' + (1 * 0 * 0)'

= 0 + 1 + 0 + (0)'

= 1 + 0

= 1

d. F(0, 0, 0) = 0 * 0 * 0 + 0 * (0 * 0)' + 0' + (0 * 0 * 0)'

= 0 + 0 + 1 + (0)'

= 1

e. F(0, 0, 1) = 0 * 0 * 1 + 0 * (0 * 1)' + 0' + (0 * 0 * 1)'

= 0 + 0 + 1 + (0)'

= 1

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The probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.

The Bayes theorem's assumption that the prior probabilities are known with certainty is one of its limitations. These probabilities, however, could not be known or be impossible to predict precisely in many real-world settings. Moreover, Bayes' theorem makes the assumption that each occurrence is independent, which may not necessarily be true in real-world circumstances.

Given that,

P(D) = 0.001

P(D') = 1- 0.001 = 0.999

P(T|D) = 0.99 (the test is 99% effective in detecting the disease)

P(T'|D') = 0.995

The Baye's theorem is given as follows:

P(A|B) = P(B|A) * P(A) / P(B)

Substituting the values:

P(T) = (0.99 * 0.001) + (0.005 * 0.999) = 0.00594

P(D|T) = (0.99 * 0.001) / 0.00594 ≈ 0.166

Hence, the probability that a person has the disease given that his test result is positive is approximately 0.166 or 16.6%.

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The complete question is:

a) The sampling distribution of the sample mean has mean μ=300 and standard deviation  is 4.

b)Normal distribution.

c)No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.The correct answer is B.

a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with a mean (μ) of 300 and a standard deviation (σ) of 28/√49 (which is 28/7 or 4).

b. For part (a) to be true, the assumption made about the distribution of the variable under consideration is C. Normal distribution.

c. The statement in part (a) is still true if the sample size is 16 instead of 49 because of the Central Limit Theorem. However, the standard deviation will change.

The correct answer is B. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true.

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Answer:

12

Step-by-step explanation:

x is the height, and we notice that this isosceles triangle is two 5-12-13 triangles put together. Therefore, x = 12

Another method. Use pythagorean theorem. x^2 + (10/2)^2 = 13^2

x^2 + 25 = 169

x^2 = 144

x = 12

If the voltage is halved, the electric power will be reduced to one-fourth of its original value.

The relationship between electric power (P), voltage (V), and resistance (R) is given by the formula P = V^2/R.

If the voltage (V) is halved, let's denote the new voltage as V_new. Therefore, V_new = V/2.

To determine how the electric power (P) would be affected, we substitute the new voltage (V_new) into the formula:

P_new = (V_new)^2 / R

= (V/2)^2 / R

= V^2 / (2^2 * R)

= V^2 / (4R)

= 1/4 * (V^2/R)

= 1/4 * P

From the above calculations, we can observe that if the voltage is halved, the electric power will decrease by a factor of 1/4 or 25%.

This means that reducing the voltage by half will result in the electric power being reduced to one-fourth of its original value.

This relationship between voltage and electric power can be explained by the power formula itself. The power is directly proportional to the square of the voltage and inversely proportional to the resistance. Halving the voltage reduces the power by a factor of 1/4 because the voltage is squared in the formula.

It's important to note that the relationship between voltage, resistance, and power is a fundamental concept in electrical engineering. By understanding this relationship, engineers and electricians can make informed decisions when designing electrical systems or troubleshooting power-related issues.

In summary, this is because the power is directly proportional to the square of the voltage, as stated by the formula P = V^2/R.

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