can someone explain this please

Can Someone Explain This Please

Answers

Answer 1

Answer:

X =56

Step-by-step explanation:

Total angles of a triangle = 180

Since it's the total, we add these three angles

[tex](x - 31) + (x) + (x + 43) = 180[/tex]

Next, we combine like terms

[tex]3x + 12 = 180[/tex]

Next, you can subtract 12 from both sides to get numbers on one side

[tex]3x = 168[/tex]

Last step is to divide by 3 to get the X alone

[tex]x = 56[/tex]

Answer 2

Answer:  

x = 56

F = 25

R = 99

O = 56

Step-by-step explanation:

all triangles equal 180 degrees

that means that when you add angle F, O, + R, you will get 180

create the formula based on this info:

F + R + O = 180

x - 31  + x + 43 + x = 180

solve:

-31+43+x+x+x = 180

12 + 3x = 180

3x = 168

x = 56

now plug in x and find each angle

F = x - 31

F = 56 - 31

F = 25

R = x + 43

R = 56 + 43

R = 99

O = x

O = 56


Related Questions

the area of a rectangular pool is 7980m^2. if the width if the pool is 84m what is its length?

Answers

Answer:

95 m would be the answer.

Order the rational numbers from least to greatest

-3.11,-3.1,-3.01

Answers

Answer: -3.11, -3.1, -3.01

Explanation:

We are comparing:

-3.11

-3.10

-3.01

-3.11 < -3.10 < -3.01

-3.11 , -3.1 , -3.01

Least to greatest

The probability that both of two tossed coins will come down heads (or tails) is: 1/4 x 1/2 or 1/8 1/2 x 1/2 or 1/4 1/4 x 1/4 or 1/16.

Answers

Answer:

B

Step-by-step explanation:

The probability that both the two tossed coins will come down heads (or tails) is 1/2 x 1/2 or 1/4.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To calculate the probability of two independent events happening at the same time, you multiply their individual probabilities.

In this case, the two events are the two coin tosses coming up heads (or tails).

The probability of the first coin coming up heads (or tails) is 1/2, and the probability of the second coin coming up heads (or tails) is also 1/2, so the probability of both of them coming up heads (or tails) is (1/2) x (1/2) = 1/4.

Hence, the correct answer would be an option (B).

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Ms. Mayer's class has 8 students who are 5 feet or taller. That is 25% of the total number of students in her class. What is the total number of students in Ms. Mayer's class?

Answers

The total number of children in Ms. Mayer's class is 32.

What is Percentage?

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. It is given by:

Percentage = (value / total value) * 100%

Let Total number of student = X

Therefore;

25% of X = 8

(25/100)X = 8

Therefore;

X = 8 / (25/100)

X = 800/25

X = 32

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kyle practices the piano trombone and violin. he dedicates one fourth of this practice time to piano, four ninths of his time to the trombone, and rest of his time to the violin. what fraction of kyle's practice time is spent playing the violin?

Answers

Answer:

Step-by-step explanation:

1/4 + 4/9 + n= total amount of time spent on all of the instruments.

1/4 + 4/9=

9/36 + 16/36= 25/36 (time on piano and trombone)

36/36- 25/36= 11/36- total time spent on violin

Evaluate the expression if b=3 and c=1/3.


3c / (2b²)​

Answers

After evaluation we get the above expression 1/18

What is mathematical expression?

It is the mathematical statement that expresses the method of a mathematical operation in a symbolic way. An expression is developed based on two or more terms along with operator. The terms are variables and numbers. In a word, an expression is either combination of numbers, operators or numbers, variables, operators.

How to evaluate the above expression?

we are given an expression

3c/ (2b²)

the value of b and c are also given, b= 3 and c = 1/3

The expression is written in fractional form that has 2 numbers and 2 variables. The number are 2 and 3, variables are c and b

The numerator 3c and the denominator 2b²

if we put the value of b and c

(3×1/3) / (2×9) =1/18

hence the result 1/18

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what is the slope -intercept equation of a line that has a slope of 3 and passes through (0,-4)

Answers

Considering the definition of a line, the equation of the line that passes through the point (0, -4) and has a slope of  is y=3x -4.

What is a linear equation

A linear equation o line can be expressed in the form y = mx + b

where

x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and  always coincides with the value of y corresponding to the value of x= 0.

Line in this case

In this case, you know:

The line has a slope of 3.The line passes through the point (0, -4).

Substituting the value of the slope and the value of the point, the value of the ordinate to the origin b can be obtained:

-4= 3×0 + b

-4= 0 + b

-4= b

-4= b

Finally, the equation of the line is y= 3x -4.

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Let u=1nx and v=1ny. Write y^3x^5 in terms of u and v

Answers

The expression y³x⁵ in terms of u and v is [tex]e^{3u} e^{5v}[/tex]

what is the natural logarithm?

The natural logarithm of a number is its logarithm to the base of the mathematical constant e, which is an irrational and transcendental number approximately equal to 2.718281828459. The natural logarithm of x is generally written as ln x, loge x.  The equation being [tex]e^{\ln x}=x[/tex]

Given here, the polynomial expression y³x⁵ where [tex]{\ln x}=u[/tex] and  [tex]{\ln y}=v[/tex]   thus, [tex]e^{v} =y[/tex] and [tex]e^{u} =x[/tex]

∴ , y³x⁵=[tex]e^{3u}e^{5v}[/tex]

Hence, The expression y³x⁵ in terms of u and v is [tex]e^{3u} e^{5v}[/tex]

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Points A,B, and C are collinear Point B is between A and C. Solve for x

Answers

The required values of x in the collinear points A, B and C are -3, 1, -12 and 12

What are collinear points?

Points that lie on the same line are called collinear points.

Given that, Points A, B, and C are collinear point B is between A and C.

We will use here segment addition postulate, to solve each part.

The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC.

1) AB = x+15, BC = x+13 and AC = 22

x+15+x+13 = 22

2x = 22-28

2x = -6

x = -3

2) BC = 2x-2, AC = 3x-3 and AB = 4

3x-3-(2x-2) = 4

3x-3-2x+2 = 4

5x = 5

x = 1

3) BC = x+28, AB = 2x+28 and AC = 12

x+20+2x+28 = 12

3x+48 = 12

3x = -36

x = -12

4) BC = x-8, AB = 9 and AC = 2x-11

x-8+9 = 2x-11

x+1 = 2x-11

x = 12

Hence, the values of x are -3, 1, -12 and 12

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On Monday, jack rode 4 miles on a bike. On Tuesday, he rode 4 times more than he did Monday. On Wednesday, he rode an additional 5 miles.

How many miles has jack ridden so far this week?

Answers

Answer:

She has ridden 25 miles this week

Step-by-step explanation:

She rode 4 miles on monday to start off the week. Then she rode 4 times the amount he did on Monday, so multiply 4x4. Then he rode 5 more miles so add 5 and receive the answer of 25 miles.

Equation:

1. Write Equation: 4+(4x4)+5=

2. Solve for parenthesis: 4+16+5=

3. Solve: 4+16+5=25

-Hope this helped & Happy New Years

How many solutions exist for the given equation 12x 1 3 4x 1 2?

Answers

There are existing infinite solutions for the given equation 12s + 1 = 3 ( 4s + 1) - 2.

Solving the equation,

12s + 1 = 3 ( 4s + 1) - 2

 12s + 1 = 12s + 3 -2

 12s + 1 equals to (=) 12s + 1

Bringing constant to one side of the equation and variables to the other side of the equation so that equation could be solved

+ 12s - 12s   =   +  1 -  1

        0        =      0

This shows that the given equation has infinite solutions because after solving it gives a solution where both sides are equal.

 

"

Complete question:

How many solutions exist for the given equation 2s + 1 = 3 ( 4s + 1) - 2?

"

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A rectangle has a length of 6cm and a breadth of 2m what is the height?

Answers

The height of the rectangle is 200 cm.

How to find the height of a rectangle?

A rectangle is a quadrilateral that has two pairs of opposite sides equal to each other and two pairs of opposite sides parallel to each other.

The sum of angles in a rectangle is 360 degrees. Each interior angle is equal to 90 degrees .

The diagonals are also equal and they bisect each other.

The rectangle has a length of 6cm and a breadth of 2m.

Therefore, the height of the rectangle is the breadth of the rectangle.

The height of the rectangle is 2 meters and the length of the rectangle is 6 cm. Let's convert the height of the rectangle to centimetres.

Hence,

height of the rectangle = 2m

1 m = 100cm

2m = ?

cross multiply

height of the rectangle = 2 × 100

height of the rectangle =  200 cm

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Which of the following is not a measure of variability of a data set?

a.
variance

b.
standard deviation

c.
median

d.
coefficient of variation

e.
Range

Answers

Median is not a measure of variability of a data set.

A collection of data is known as a data set (or dataset). In the case of tabular data, a data set relates to one or more database tables, where each row refers to a specific record in the corresponding data set and each column to a specific variable.

The data set includes values for each of the variables, such as the object's height and weight, for each set member. Data sets can also be made up of a group of files or documents.

The information supplied in a public open data repository is measured in the open data discipline using data sets. Over one million data sets are collected through the European portal.

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Let E be the region enclosed by the paraboloids z = x² + y2 and z = 2 – x2 - y2. Then SSS Vox2 + y2 DV = E 21 1 2-22 (A) S S S rdz dr do 0 0 -2 21 1 2-r2 (B) I ſ T 12 dz dr de 0 0 2 1 -r (C) SS S rdz dr do 0_0_12 (A) Sj rdz dr do 0 0 72 21 1 2-22 (B) į jį r2 dz dr do 0 0 72 1 1 2,2 (C) S S S rdz dr de 00 p2 1 1 2–,2 (D) ſi s 12 dz dr do 00 p2 21 1 -2 (E) IS S rdz.dr do 0 0 2-2

Answers

Let E be the region enclosed by the paraboloids z = x² + y² and z = 2 – x² - y² , then ∫∫∫(√x² + y²)dV is equals to the [tex]∫^{\pi}₀∫^{1} ₀∫^{2 - {r}^{2}} ᵣ₂ r² dz dr dθ ,[/tex].

We have two equations of paraboloids are z = x² + y² and z = 2 – x² - y² . Let E be the region enclosed by the (1) and (2). We have to determine the value of volume integral ∫∫∫(√x² + y²)dV in polar form. Now, change the Cartesian co-ordinates (i.e., x and y) into polar coordinates ( i.e., r and θ ). In polar coordinates, x = r cosθ ; y = r sinθ then, x² + y² = (r cosθ)² + (r sinθ)²

= r²cos²θ + r²sin²θ = r²(sin²θ + cos²θ)

= r² or √x² + y² = √r² = r

Plugging the value in curve equation,

z = x² + y² = r² and z = 2 – x² - y² = 2 - r²

i.e., z varies from r² to 2 - r²

and θ varies from 0 to π ( see in graph) and r varied from 0 to 1. Also, dxdy = r dr dθ. So, the triple integral or volume integral in polar coordinates is

[tex]∫^{\pi}₀∫^{1} ₀∫^{2 - {r}^{2}} ᵣ₂ r² dz dr dθ ,[/tex]

Hence, we get the required expression in polar coordinates.

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Solve for the following proportion for u. U/9 =8/13 round your answer to the nearest tenth

Answers

Answer:

u ≈ 5.5

Step-by-step explanation:

[tex]\frac{u}{9}[/tex] = [tex]\frac{8}{13}[/tex] ( cross- multiply )

13u = 9 × 8 = 72 ( divide both sides by 13 )

u = 72 ÷ 13 ≈ 5.5 ( to the nearest tenth )

Please help as fast as you can

Answers

I think the answer is D (Day) ...........

A line passes through the point (-4, 3) and has a slope of -2.
Write an equation in point-slope form for this line.

Answers

Answer:

i agree

Step-by-step explanation:

A line passes through the point (-4, 3) and has a slope of -2 will be y = - 2x - 5.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is - 2. Then the equation of the line is given as,

y = - 2x + c

The equation passes through the point (-4, 3). Then the value of 'c' is given as,

3 = - 2(-4) + c

3 = 8 + c

c = - 5

The equation of the line is given as,

y = - 2x - 5

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Find the least common multiple of the given numbers. 5 and 8

Answers

First what you would have to do would be to list out at least 10 multiples of 5 and 8 then what you do is you find where both numbers have a multiple that is the same and whatever multiple comes up first is your answer so in this case the answer would be 40 because the numbers don’t have the same answer until you do 5X8 and 8X5

How do you solve for y varies inversely as x?

Answers

The relationship between y and x can be equation as y = k/x, where k is a constant that does not change.

The equation y varies inversely as x means that as the value of x increases, the value of y decreases, and vice versa. To solve for y, we can use the general equation y = k/x, where k is a constant. This equation states that the value of y is directly proportional to the reciprocal of x.

1. Start by understanding that when two variables are inversely proportional, they follow the equation

y = k/x.

2. The constant, k, is a number that will remain the same throughout the equation.

3. For example, if y varies inversely as x, and

y = 2 when x = 4, then k = 8.

4. Therefore, the equation

y = k/x becomes y = 8/x.

5. To solve for y when x = 5, substitute x = 5 into the equation and solve: y = 8/5

= 1.6.

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Help aspp please thank you!!!

Answers

Answer:

YES ITS A DIRECT VARIATION

Step-by-step explanation:

explanation in the picture

solve 0 =3 x + 4 - x

Answers

Answer:

x = -2

Step-by-step explanation:

Combine like terms

0 = 2x + 4

-4 = 2x

-2 = x

Why is it called secant line?

Answers

Secant line is the name given to any line that intersects a circle at two or more points. This line is called "secant" because it comes from the Latin word secare, which means to cut.

In mathematics, the secant line is used as a tool for finding the length of an arc, area of a sector, and other geometric measurements. The secant line is also used in calculus to calculate derivatives and integrals of functions.

The secant line is formed by two points on a circle’s circumference, and its slope is determined by those points. Its slope is calculated by the difference between the two points divided by the product of the radius of the circle and the angle made by the two points.

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THIS IS THE 3.1.4 JOURNAL PROVING THE PYTHAGOREAN THEOREM ASSIGNMENT FULL ASSIGNMENT ANSWERS!!!
Determine if the TV will fit in the car.
a. Draw the rectangle that represents the height and width of the trunk including the diagonal. Label the dimensions on your sketch.

Answers

Answer:

Step-by-step explanation:

The dimensions of the rectangle are:

Height = 40 cm

Width = 30 cm

Diagonal = 50 cm

The sketch is given below.

What is the Pythagorean theorem?

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

A rectangle with a height of 40 cm and a width of 30 cm is drawn.

Now,

The diagonal of the rectangle can be calculated using the Pythagorean theorem.

So,

Diagonal side = x

x² = 30² + 40²

x² = 900 + 1600

x² = 2500

x  = 50 cm

Thus,

Rectangle:

Height = 40 cm

Width = 30 cm

Diagonal = 50 cm

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Solve for m.
m+ < 1/4 < -1 2/5
O
0 m < -1 13/20
Om < -1 3/20
0 m > -1 3/20
O m > -1 13/20

Answers

The solution of the inequality m + 1/4 < -[tex]1\frac{2}{5}[/tex] is  m < [tex]-1\frac {13}{20}[/tex].

What is an inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

We have the inequality expression,

m + 1/4 < -[tex]1\frac{2}{5}[/tex]

Simplifying,

m + 1/4 < -7/5

Subtracting 1/4,

m < -7/5 - 1/4

m < (-28-5)/20

m < -33/20

m < [tex]-1\frac {13}{20}[/tex]

Therefore, the solution is m < [tex]-1\frac {13}{20}[/tex].

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Find the algebraic representation of the reflection below.

Answers

The algebraic representation of the reflection in the image is the one in option A.

(x, y) → (-x, y)

What is the algebraic representation of the reflection?

Here we have an image with two moons, such that one is the reflection of the other.

Notice that the reflection is across the vertical axis (it is the y-axis). So the y-values don't change after the reflection, only the x-values change.

So we will have a change of sign on the x-value, then the reflection must be written as:

(x, y) → (-x, y)

In this way we can conclude that the correct option is A.

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Need this solved! precal please help if you can Thx

Answers

Answer:

[tex]f(-1)=-11\\f(0)=16\\f(2)=22[/tex]

Step-by-step explanation:

[tex]\displaystyle f(-1)=3(-1)-8=-3-8=-11\\f(0)=3(0)+16=16\\f(2)=3(2)+16=6+16=22[/tex]

Look at the figure below. The area of the rectangle is 200 in².
What is the radius of the semicircle?

Answers

Answer:

r≈11 m or 1/2πr2   /=fraction

Step-by-step explanation:

too many fractions to put but yeah have fun with answer though i'm 1 hour late

The radius of the semicircle given in the given figure is 10in.

What is a semicircle?

A semicircle is a half circle created by splitting a circle into two equal parts. It is created when a line pierces the circle's center and touches its two ends. The diameter of the circle is the name given to this line.

In the given figure, A semicircle is drawn on the base of the rectangle.

Since the Area of the rectangle is 200 inches square and the height of the rectangle is 10 inches.

Thus, the Base of the semicircle  = 200/10 = 20in.

Since the Base of the rectangle is equal to the diameter of the semicircle that is 10.

Therefore, the semicircle's radius in the provided illustration is 10 inches.

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Complete question:

A bag contains 222 red marbles, 333 green marbles, and 444 blue marbles. If we choose a marble, then another marble without putting the first one back in the bag, what is the probability that the first marble will be green and the second will be red?

Answers

There is a 7.4% probability that the first marble will be green and the second will be red.

To calculate the probability, you will need to use the following formula:

P(A and B) = P(A) x P(B).

In this case, P(A) is the probability of picking a green marble on the first pick and P(B) is the probability of picking a red marble on the second pick. Using this formula,

we get P(A and B) = 333/999 x 222/998 = 0.074,

which is the probability of picking a green marble on the first pick and a red marble on the second pick.

So, there is a 7.4% chance of this happening.

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HELP PLEASE FAST !!
Order the numbers from least (top) to greatest (bottom) PICTURE ATTACHED!!

Answers

Answer:

-9

-4

1

|-2|

|-3|

|-5|

|-6|

Step-by-step explanation:

| |

This symbol means whatever number inside of it turns to positive

Answer:

-9

-4

1

|-2|

|-3|

|-5|

|-6|

Based on data collected by the National Center for Health Statistics and made available to the public, an estimate of the percentage of adults who at some point in their life have been told they have hypertension is 23.53%. If we select a simple random sample of 20 US adults and assume that the probability that each has been told that he or she has hypertension is 0.20, find the probability that the number of people in the sample who have been told that they have hypertension will be (a) exactly three (b) at least three (c) at most five (d) between six and ten, inclusive

Answers

The answer is (a) exactly three. The probability of selecting exactly three adults out of a sample of 20 who have been told that they have hypertension is calculated using the Binomial Distribution. The probability can be calculated using the formula:

P(X=3) = (20C3) * (0.20^3) * (0.80^17) = 0.1504

The probability of selecting at least three adults out of a sample of 20 who have been told that they have hypertension is calculated using the Cumulative Binomial Distribution. The probability can be calculated using the formula:

P(X>=3) = 1 - P(X<3) = 1 - P(X<=2) = 1 - (20C0) * (0.20^0) * (0.80^20) - (20C1) * (0.20^1) * (0.80^19) - (20C2) * (0.20^2) * (0.80^18) = 0.9991

The probability of selecting at most five adults out of a sample of 20 who have been told that they have hypertension is calculated using the formula:

P(6<=X<=10) = P(X<=10) - P(X

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