Prove the Isosceles Base Angles Theorem
Given: GB GD, GU bisects ZDGB
Prove: ZB ZD
Statements
1. GB = GD
2.
3.
4. GU GU
5.
6. ZB ZD
Reasons
1. Given
2.
3. Definition of bisects
4.
5.
6.

To determine if a system of equations has infinitely many solutions, we can use the method of elimination or substitution to solve for one variable in one equation and substitute it into the other equation.

If the resulting equation is an identity, then the system has infinitely many solutions.

In this case, we can solve for one variable in each equation and substitute the solution into the other equation to check for Consistency. If the resulting equation is an identity, then the system has infinitely many solutions.

After solving each system individually, it appears that the system of equations 4x - 3y = 6 and 3x - y = 14 produces infinitely many solutions. This is because when we substitute the solution for x from the first equation into the second equation, we get:

3(4) - y = 14

12 - y = 14

y = 2

This means that for any value of x that's Satisfies the first equation, y will always equal 2. Therefore, the two equations represent the same line in the xy-plane, and the system has infinitely many solutions.

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Answer:

5

Step-by-step explanation:

23 x + 977 y = 2023

977 x + 23 y = 2977

add the 2 together

1000x+1000y =5000

so x+y =5

x=5-y

plug this into first equation

23(5-y) +977y =2023

solve for y =2

so x=3

x² -y² =(x+y)*(x-y) =5*1 =5

Answer:

Step-by-step explanation:

a + 3 1/4 = 5 2/9

     -3 1/4    -3 1/4

a = 1 35/36

So, 40% of the animals on the farm are cows, whereas 60% are pigs.

A % is a relative figure that represents the hundredth part of any amount. One percent (symbolized 1%) is one hundredth part; consequently, 100 percent denotes the complete amount and 200 percent defines twice the supplied amount. percentage. Mathematics percentile is a related topic. A percentage is a fraction of a whole represented as a number between 0 and 100. Nothing is zero percent, everything is 100 percent, half of everything is fifty percent, and nothing is zero percent. To calculate a percentage, divide the share of the total by the total and multiply by 100.

Here,

(a) On the farm, the cow-to-pig ratio is 2:3, which means that for every 5 animals, there are 2 cows and 3 pigs. To get the percentage, divide the number of cows by the total number of animals and multiply by 100. As a result, the farm's cow proportion is:

(2 / (2 + 3)) * 100 = 40%

(b) To find the percentage of pigs on the farm, we can use the same method as for the cows. The percentage of pigs on the farm is:

(3 / (2 + 3)) * 100 = 60%

So, 40% of the animals on the farm are cows, and 60% of the animals are pigs.

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Answer:

x > 11

Step-by-step explanation:

9x - 4 > 95

Add 4 to both sides.

9x - 4 + 4 > 95 + 4

9x + 99

Divide both sides by 9.

9x/9 > 99/9

x > 11

Answer:

[tex] \sf \: x > 11[/tex]

Step-by-step explanation:

Given inequation,

→ 9x - 4 > 95

Now the value of x will be,

→ 9x - 4 > 95

→ 9x > 95 + 4

→ 9x > 99

→ x > 99 ÷ 9

→ [ x > 11 ]

Hence, the value of x is 11.

(a) the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

We need to find the critical t value for every one of the accompanying confidence levels and test sizes given underneath.

As we realize that in the t table there are two segments. The flat section is addressed by the image P which addresses the level of importance and the upward segment is addressed by the image '' which addresses the degrees of freedom.

(a) In this way, here the level of importance = 1 - confidence level

                                                           = 1 - 0.90 = 0.10

What's more, the degrees of freedom = n - 1

                                               = 17 - 1 = 16

Presently, in the t table, the critical value of t at P = 10% and 16 degrees of freedom is 1.337.

(b) Thus, here the level of importance = 1 - confidence level

                                                           = 1 - 0.90 = 0.10

Furthermore, the degrees of freedom = n - 1

                                               = 12 - 1 = 11

Presently, in the t table, the critical value of t at P = 10% and 11 degrees of freedom is 1.363.

(c) Thus, here the level of importance = 1 - confidence level

                                                           = 1 - 0.99 = 0.01

Furthermore, the degrees of freedom = n - 1

                                               = 24 - 1 = 23

Presently, in the t table, the critical value of t at P = 1% and 23 degrees of freedom is 2.500.

(d) In this way, here the level of importance = 1 - confidence level

                                                           = 1 - 0.90 = 0.10

Furthermore, the degrees of freedom = n - 1

                                               = 23 - 1 = 22

Presently, in the t table, the critical value of t at P = 10% and 22 degrees of freedom is 1.321.

(e) Thus, here the level of importance = 1 - confidence level

                                                           = 1 - 0.80 = 0.20

Furthermore, the degrees of freedom = n - 1

                                               = 13 - 1 = 12

Presently, in the t table, the critical value of t at P = 20% and 12 degrees of freedom is 0.8726.

(f) In this way, here the level of importance = 1 - confidence level

                                                           = 1 - 0.95 = 0.05

Furthermore, the degrees of freedom = n - 1

                                               = 9 - 1 = 8

Presently, in the t table, the critical value of t at P = 5% and 8 degrees of freedom is 1.860.

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The complete question is:

What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.)

(a) 90% confidence, n = 17

(b) 90% confidence, n = 12

(c) 99% confidence, n = 24

(d) 90% confidence, n = 23

(e) 80% confidence, n = 13

(f) 95% confidence, n = 9

Based on the table of values, the slope and y-intercept are as follows:

Slope = -1/2.

y-intercept = -1/2.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-1/2 - (-1))/(0 - 1)

Slope (m) = (-1/2 + 1)/(0 - 1)

Slope (m) = -1/2

In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

This ultimately implies that, the y-intercept is equal to -1/2.

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The equation of the graph is y = 1 / 2 x - 3.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, let's find the slope of the graph as follows:

using (0, -3)(6, 0)

Hence,

slope = m = 0 + 3 / 6 - 0

slope = 3 / 6

slope = 1 / 2

Therefore, let's find the y-intercept using (0, -3).

y = 1 / 2x + b

-3 = 1  /2 (0) + b

b = -3

Therefore, the equation is y =  1 / 2 x - 3

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The probability of his then drawing a blue marble from his right pocket is

0.456 or 45.6 %  by using conditional probability theorem.

conditional probability, the probability that an event occurs given the knowledge that another event has occurred.

from the given information : considering for notations, let BL, BR, and WL denote drawing a blue marble from the left pocket, a blue marble from the right pocket, and a white marble from the left pocket, respectively. By the Law of Total Probability,

P(BR) = P(BL ∩ BR)+ P(WL ∩ BR)

= P(BL)P(BR|BL)+ P(WL)P(BR|WL)

= ( 5/9)(5/10) + (4/9)(4/10) = (41/90)

= 0.456

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The system of equation  y = 4x - 1 and 12x - 3y = - 1 has no solution.

If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.

There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.

The given system of equation is y = 4x - 1 and 12x - 3y = - 1.

Multiplying equation (i) by 3 and adding it to equation (ii) we have,

 3y =   12x - 3

- 3y = - 12x - 1

____________

  0 =     0 -  4

But 0 ≠ - 4 so, The system of the equations has no solution.

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In Cartesian or rectangular coordinate system we represent any point using the ordered pair (x,y) . Similarly in polar coordinate system we represent any point using the ordered pair (r,θ), where r is the distance from origin and θ is the angle made by the line joining origin and the point with x-axis measured in anti-clockwise direction.

Seating arrangement would best suit a family restaurant is c) a space with all booths.

This restaurant with a comfortable atmosphere usually serves food in large quantities by placing it in the middle of the table.

So, each family member can take food from the middle and enjoy it on their respective plates. This concept is exactly the same as how to eat at home with the family.

Apart from that, the characteristics of this restaurant are almost the same as a casual dining restaurant, the difference is the absence of alcoholic beverages in family restaurants.

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The MP3 player cost is $109.05.

Two or more expressions with an Equal sign is called as Equation.\

Let us consider the cost of the MP3 player "x".

Terrell started with $135 and spent $25.95 on the Internet music subscription,

so he had 135 - 25.95 = $109.05 left to spend on the MP3 player.

The equation to solve for x is:

x + 25.95 = 135

Subtract 25.95 on both sides

x = 135 - 25.95

x = 109.05

Hence, the MP3 player cost is $109.05.

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Answer:

see attached

Step-by-step explanation:

3 triangles

3 variables

so you'll get 3 equations

memorize right triangle's property

short side 1 ²  + short side 2 ² = long side ²

see attached

The probability that at least one of them has received immunizations is 97.5611%.

Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics. Probability is a mathematical representation of the likelihood or potential that an event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%. Probability, in its simplest form, gauges the likelihood that something will happen. When we are unsure of how an event will turn out, we might talk about the likelihood of different outcomes. The study of events susceptible to probability is known as statistics.

1 - P( no one was vaccinated).

1-71%=0.29

If you pick one person at random from the population, there is a [tex]29[/tex]% chance they are not immunized. There is therefore no chance that any of the three people you choose will be an unvaccinated person [tex]0.29 X 0.29 X 0.29 = 0.024389.[/tex] Your solution, calculated as a percentage by deducting from [tex]1[/tex], is [tex]97.5611[/tex]%.

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The slope of a fairly flat upward-sloping line will be a small positive number. (option c)

This is because a slope measures the change in the y value for a given change in the x value. As the line is fairly flat, the change in y value will be small. Since the line is upward-sloping, the change in the y value will be positive. Therefore, the slope of the line will be a small positive number.

To calculate the slope mathematically, we can use the formula

This formula gives us the slope of the line between two points (x1, y1) and (x2, y2). In our case, since the line is fairly flat, the difference in y values (y2-y1) will be small, resulting in a small positive number for the slope.

We can also visualize this mathematically. If we graphed the line, it would look like a flat line, because the difference in y values is small. Therefore, the slope of the line will be a small positive number.

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The equation and the slope of the line that passes through (6, –4) and is parallel to the x-axis are; Slope = 0 and equation: y = -4

The general form of the equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Now, when a line is parallel to the x-axis, it means that the slope will be zero as there will be no intersection point with the x-axis. Thus, from y = mx + c, we can say that;

y = 0(x) + c

y = c

Now, from the given point, we can tell that the y-intercept will be constant and as such we have;

y = -4

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An equation and the slope of the line that passes through (6, –4) and is parallel to the x-axis:

C. Equation: y = –4

D. Slope: 0

In Mathematics, the y-intercept is also referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).

Since the given line is parallel to the x-axis (x-coordinate), the value on the y-coordinate would remain constant and forms a horizontal line.

In this context, we can reasonably infer and logically deduce that the slope of this line would be equal to zero (0).

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The coordinate point of f(x + 1) will shift 1 unit to the left along the x-axis.

(x , y) ⇒ (x - 1, y).

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y-axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

Let, y = f(x) = 3x.

Now, After the transformation f(x + 1) = g(x),

g(x) = 3(x + 1).

This is a horizontal transformation by 1 unit to the left.

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The probability of rolling an odd number or a multiple of 6 on a d20 is 0.6 (10/20 + 4/20 - 2/20). This can also be expressed as a probability of 60%.

The probability of rolling an odd number or a multiple of 6 on a d20 is calculated using the following formula:

P(odd or multiple of 6) = P(odd) + P(multiple of 6) - P(odd and multiple of 6)

P(odd) = 10/20 or 0.5

P(multiple of 6) = 4/20 or 0.2

P(odd and multiple of 6) = 2/20 or 0.1

Therefore, the probability of rolling an odd number or a multiple of 6 on a d20 is 0.6 (10/20 + 4/20 - 2/20). This can also be expressed as a probability of 60%.

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The complete steps to to Multiply Two Polynomials are listed below

From the question, we have the following parameters that can be used in our computation:

The steps with missing values

When completed, we have

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We need -1.94 gallons of 18%-salt solution to be mixed with 7 gallons of 30%-salt solution to obtain a 25%-salt solution.

The formula used to calculate the number of gallons of 18%-salt solution needed to be mixed with 7 gallons of 30%-salt solution to obtain a 25%-salt solution is:

V1C1 + V2C2 = V3C3

Where:

V1 = Volume of 18%-salt solution

C1 = Concentration of 18%-salt solution

V2 = Volume of 30%-salt solution

C2 = Concentration of 30%-salt solution

V3 = Volume of 25%-salt solution

C3 = Concentration of 25%-salt solution

Plugging in the given values, we get:

V1C1 + 7(0.30) = V3(0.25)

Simplifying the equation, we get:

V1(0.18) + 2.1 = 0.25V3

Subtracting 2.1 from both sides, we get:

V1(0.18) = 0.25V3 - 2.1

Dividing both sides by 0.18, we get:

V1 = (0.25V3 - 2.1) / 0.18

Substituting V3 with 7, we get:

V1 = (1.75 - 2.1) / 0.18

Simplifying, we get:

V1 = -0.35 / 0.18

Therefore,

V1 = -1.94 gallons

Hence, we need -1.94 gallons of 18%-salt solution to be mixed with 7 gallons of 30%-salt solution to obtain a 25%-salt solution.

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The value of the expression 11 - 14 using subtraction will be negative 3.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

11 and 14

Then the difference between the numbers 11 and 14 will be given by putting a minus sign between them. Then we have

⇒ 11 - 14

⇒ - 3

The value of the expression 11 - 14 using subtraction will be negative 3.

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The time taken by the planes when they are 2000 miles apart is 2 hours.

We all know that formula of distance, speed and time is given by  distance = speed*time or time = distance/speed

Let x be the number of hours that the two planes will be 2000 miles apart.

Let 430x be the distance traveled by the first plane at 430 miles per hour

and 570x be the distance traveled by the second plane at 570 miles per hour.

here, 430x +570x =2000 is the total distance travelled by the first plane and the second plane

Solving yields the following steps:

1000x = 2000

Dividing 1000 to both sides of the above equation, we get

1000x/1000=2000/1000

So the value of x will be equivalent to 2

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Answer:

It is :)

Step-by-step explanation:

Answer:

No solutions

Step-by-step explanation:

y - 1/2x = -1

y = 1/2x + 4

Move 1/2x over to other side for 2nd equation

y - 1/2x = 4

You can tell that if you plot the lines on a graph, there would be no intersecting points because the line is parallel, meaning there are no solutions.

The correct answer is) D.  Because on the graph you can see that it increases by 25 each day which follows the equation Y=25x.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers.

Jacqueline reads 25 pages every night, as is given. After x days, Jacqueline has read the following number of pages, which is represented by y.

given that she starts with 0 pages and reads 25 pages every day.

As a result, there is a proportionate relationship between the total number of pages read and the number of days.

she reads 25 pages a night Meaning that the total number of pages Jacqueline has read (Variable Y) = 25 pages a night (x)

Therefore, On a coordinate plane, a graph titled Total Pages Jacqueline Has Read has days on the x-axis and Pages on the y-axis. A line goes through points (1, 25) and (2, 50).

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Answer:

d

Step-by-step explanation:

because

Answer:

104

Step-by-step explanation:

it says it in the question

The proportion that could be used to find the average number of shepherd mixes at any given time is given as follows:

4. 7/9 = x/50

The proportion is obtained as the ratio between two amounts, dividing the amount a by the amount b.

The number of Sheperd Mix in each sample is given as follows:

7 and 9.

Hence the first part of the ratio is of 50, hence:

7/9.

As the total number is of 50, the second part is given as follows:

x/50.

Hence the proportional equation is given as follows:

7/9 = x/50.

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Answer:

In this scenario, the school wants to use an AI system to classify fans at sporting events and direct them to either the home or away side of the stadium. This system could potentially use various AI technologies, such as image recognition, facial recognition, or even crowd analysis, to determine the affiliation of the fans and direct them to the appropriate side. This could help to improve the overall experience of the fans by reducing congestion and ensuring that they are able to sit with other fans that share their loyalty. However, it is important to note that implementing such a system also raises privacy and ethical concerns, such as the potential for bias or misuse of personal data. It is important for the school to carefully consider these issues before implementing such a system.