For 2-3, Name a postulate or theorem that can be used to prove that the two triangles are similar. Then, write a similarity statement.

Answer: 1st, 2nd, and 3rd

Step-by-step explanation: the last one isn't because not all of the sides are the same length

A model for the rate situation is written as

4x = $19

This means that a unit of paint is sold for $4.75 hence 4 units will be $19

The cost per unit of an item is represented by the unit price.

To determine the unit price of an item, we divide the price of a specific number of units by the number of units.

If a paint store sells 4 pt of paint for $19. the rate of the paint is solved for as follows

let a unit be x

4 = 19

1 = x

cross multiplying

4x = 19 * 1

x = 19 / 4

x = 4.75

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a) To calculate the number of tins in one bag, we can use the information given in the problem: "he later sold the maize39 per tine"

So we can assume that one bag of maize is divided into tins and the price per tin is 39 shs.

b) To find out how many bags the businessman sold, we can use the information that he made a total of 29,640 shs in profit.

We know from the problem that the profit per bag is 515 shs, so to find out how many bags he sold we can divide the total profit by the profit per bag: 29,640 shs / 515 shs/bag = 57.5 bags

c) To find out how much profit the businessman made by selling half of the bags to the maize millers, we can use the information that he bought the bags at 926.25 shs and sold them at 1,390 shs.

We know that he sold half of the total number of bags, so we can divide the total number of bags by 2: 57.5 bags / 2 = 28.75 bags

To find out the total profit he made, we can multiply the number of bags sold by the profit per bag: 28.75 bags * (1,390 shs - 926.25 shs) = 22,447.5 shs

d) To express the difference as a percentage of the sales to the consumers, we can use the information that the businessman sold the bags to the maize millers at 1,390 shs and to the consumers at 39 shs.

To find the difference, we can subtract the price he sold the bags to the consumers from the price he sold the bags to the maize millers: 1,390 shs - 39 shs = 1351 shs

To find the percentage of the difference, we can divide the difference by the price he sold the bags to the consumers and multiply by 100: (1351 shs / 39 shs) * 100 = 34,641.03%

Answer:This bestseller will help you learn regression-analysis methods that you can apply to real-life problems. It highlights the role of the computer in contemporary statistics with numerous printouts and exercises that you can solve using the computer.

Step-by-step explanation:

The measure of angle TSB is m ∠TSB = 40°.

What is inscribed angle?

In terms of geometry, an inscribed angle is the angle created when two chords intersect within a circle. It can also be described as the angle formed by two specified points on a circle at a given point on the circle. Two chords of the circle sharing an endpoint are equivalently used to define an inscribed angle.

Given:

The measure of arc BR = 100°.

We have to find the measure of angle TSB.

Since the measure of half of the arc is 180°.

⇒       TR = 180°

 TS + BR = 180°

TS + 100° = 180°

          TS = 180° - 100°

          TS = 80°

The measure of arc TS is 80°.

Since,

             TS = 2 m ∠TSB

⇒ m ∠TSB = 1/2TS

   m ∠TSB = 1/2(80°)

  m ∠TSB = 40°.

Hence, the measure of angle TSB is m ∠TSB = 40°.

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The basic formula to find the scale factor of a dilated figure is: Scale factor = Dimension of the new shape ÷ Dimension of the original shape.The dilation o a triangle with a scale factor of 2 3 represents a contraction.

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the centre of dilatation. The scale factor and the centre of dilation are used to determine the dilation transformation.

Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. According to Math Bits Notebook, the scale factor is equal to the ratio of these distances.

Since each angle is congruent, every segment is proportional, the slope of every segment is preserved, and the perimeter of the preimage and image have the same scale factor, we may use dilation scale factors to compress or enlarge a figure to the size we desire.

Dilate a triangle with a scale factor

Assume that the coordinate plane's centre of dilation is at (0, 0) at the origin. Every coordinate point of the original triangle is multiplied by the scale factor 2/3 if the scale factor is 2/3. multiplying by half after a scale factor of two.

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Answer: x=3

Step-by-step explanation: So let’s first simplify, 2(5x-3)=24, which we can make, 10x-6=24. Now, to find the value of x, we will all 6 on both sides, so, 10x-6+6=24+6. This will simplify out into 10x=30, so now we divided 10 on each side - 10x/10=30/10. And we will get x=3

Answer:

x = 3

Step-by-step explanation:

2 (5x - 3) = 24

10x - 6 = 24

10x = 30

x = 3

The area of a triangle rectangle can be calculated using the formula A = 1/2 * b * h, where b is the base of the triangle and h is the height.

To calculate the area of a triangle rectangle, first measure the length of the base and the height of the triangle. To calculate the area, first we need to measure the base and the height of the triangle rectangle.Then, multiply the two values together and divide the result by two. For example, if the base of the triangle measures 10 cm and the height measures 8 cm, then the area of the triangle rectangle is 10 cm x 8 cm = 80 cm2, and the area of the triangle rectangle is 80 cm2/2 = 40 cm2.

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Answer:

the original numbers are 5 and 2

Step-by-step explanation:

fistly it says inorder to find x one has to add the larger number to the square of the smaller number. So in this case start off with smaller guesses of positive integers as it is simpler that way.

the first guesses that would end up giving you 9 as an answer is 5 and 2

So now that the integers chosen fit in when calculating x we have to check if it also checks out in calculating y.

For y the difference between the 2 integers have to give an answer of 3. after calculations it the numbers comply to the statement for y;

hence the answers are 5 and 2

Answer:

3x^4 + 4 / x - 2

Step-by-step explanation:

(3x³x+4) /(x − 2)

3(x ⋅ x^3) + 4 / x - 2

3x^4  + 4 / x - 2

We can't simplify anymore, so the answer is 3x^4 + 4 / x - 2

By analyzing the question, The side adjacent to angle L is D)JR.

In a triangle, adjacent sides are sides that share a common vertex (or corner) and are next to each other.

An angle is the amount of rotation between two lines or planes that share a common point. It is typically measured in degrees or radians.

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Answer:no

Step-by-step explanation:

543 cubic centimeters has 0.543 L approximate displacement

Engine displacement means the displacement of the piston inside cylinder from Bottom Dead Center into Top Dead Center in one cycle.

Basic formula to calculate engine displacement is

V = π/4 x [tex]D^{2}[/tex] x H x N

Where :

D = Bore Diameter

H = Length of Stroke

N = Number of Cylinder

Since the question has already stated cubic centimeter, it has already show the displacement. So, we can ignore above formula and the 4 cylinder engine information.

First, we state what is known. It is the displacement at cubic centimeter

Cubic centimeter = 543 cc

Next, we change the unit of cubic centimeter ( cc ) into liter ( L )

Displacement = cc / 1000 L

                       = 543 / 1000 L = 0.543 L

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Answer:

See below

Step-by-step explanation:

All of the interior angles of a triangle sum to 180 °

Smallest is   5 out of (14 + 5 + 11) =  5/30 ths of 180° = 30°

Middle is  11/30 ths = 66°

Largest is 14/30 ths = 84°

Answer:

30° , 66° , 84°

Step-by-step explanation:

sum the parts of the ratio, 14 + 5 + 11 = 30 parts

divide the sum of the angles in a triangle 180° by 30 to find the value of one part of the ratio.

180° ÷ 30 = 6° ← value of 1 part of the ratio , then

smallest angle = 5 × 6° = 30°

medium angle = 11 × 6° = 66°

largest angle = 14 × 6° = 84°

From the AAS to triangle PRQ is congruent to triangle PRS. The correct option is A.

A triangle, which is a polygon, has three sides and three vertices. One of geometry's basic shapes is it. A triangle with the vertices A, B, and C is referred to as Triangle ABC.

When the three points are not collinear, Euclidean geometry reveals a singular plane and triangle. A triangle is a type of polygon because it has three sides and three corners. The three sides' end-to-end intersections are referred to as the triangle's corners. The sum of the three triangle angles is 180 degrees.

Given

PQ = 12 units and PS = 12 units, with PR dividing ZQPS.

OA validates AAS's triangular display. The triangle is consistent with PRQ. Triangle is shown by SAS thanks to PRS OC. The triangle is consistent with PRQ. SEP

Every matching portion of one triangle is congruent to the other if two triangles are congruent.

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On solving the provided question, we can say that  there are 6 girls for every 2 boys, ratio = 3:1

Ratios show how often one number is contained in another in mathematics. For instance, the ratio of oranges to lemons in a fruit dish is 8 to 6 if there are 8 oranges and 6 lemons present. In a similar vein, the proportion of oranges to whole fruit is 8, while that of lemons to oranges is 6:8. A ratio is an ordered pair of numbers a and b that is expressed as a / b, with b not equal to zero. An equation equating two ratios is known as a ratio. The ratio can be expressed as 1:3, for instance, if there is 1 boy and 3 girls (for every boy she has 3 girls) 3/4 are girls, while 1/4 are boys.

there are 6 girls for every 2 boys.

ratio will be

6/2 = 3/1

ratio = 3:1

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Use the exists condition to determine whether a record in a MySQL table exists or not. Subquery and the exists condition are both compatible.

Informally, a sequence in mathematics is a list of items that are in some order (or events). It possesses members, much like a set (also called elements, or terms). The length of the sequence is the quantity of ordered elements (which may be infinite). You should be familiar with the following four main categories of sequences: arithmetic, geometric, quadratic, and special. Lists of numbers connected by a rule are known as number sequences. The subsequent numbers in the series can be calculated if the rule is understood. Each of the numbers in this example differ by 6, thus that is the case. It follows that adding 6 each time is the rule for this sequence.

given

Use the exists condition to determine whether a record in a MySQL table exists or not. Subquery and the exists condition are both compatible. When a row is present in the table, it returns true; otherwise, false is returned. False is represented as 0, whereas true is represented as 1.

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Answer:

1 8/21.

Step-by-step explanation:

Total number of water Jon drink altogether

2/3 + 5/7

=LCM 21

=2/3 + 5/7

=14 + 15

21

=29/21

Mixed fraction

=1 8/21.

This gives us a total of 1,333 male workers in the company.

Data in mathematics is information that is used for analysis. It is typically presented in a structured format such as a table or graph and can be used to draw conclusions and make predictions. Data can come from a variety of sources, including surveys, experiments, observations, and simulations. Data can be quantitative or qualitative, and can be used to describe relationships between variables or to compare different sets of data. Data is an important tool in mathematics, as it allows us to draw conclusions from information and make decisions based on evidence.

The number of male workers in the company would be 1,333. To calculate this, we can first calculate the total number of workers in the company by multiplying the total number of female workers (800) by 100 and then dividing the result by 60 (the percentage of male workers).
This gives us a total of 1,333 male workers in the company.

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Complete questions as follows-
In a company, 60 % workers are males. If the number of female workers in the company is 800, what is the number of male workers in the company?

Answer: 2x+19

Step-by-step explanation:

Simplify the expression by combining the like terms

He should do all the steps that are mentioned in the question to make sure the new angle is congruent to angle BAC and has the same properties.

What is the construction of a circle?

Circle constructions are used in many fields such as geometry, engineering, and architecture to create precise circles. It's a fundamental concept in mathematics, and it's important to understand how to construct circles to apply these concepts in different fields.

His next step would be to draw a circle with a center F and a radius equal to BG.

By creating a circle with a center F and a radius equal to BG, He is creating a congruent circle to the original circle A with the center A, and radius AB.

The point of intersection between circle D and ray DE would also be an important step as it would give the location of the new angle. The point of intersection between circle D and circle A would also be an important step as it would confirm that the two circles are congruent.

Drawing ray DE away from angle BAC is also an important step, as it would create a new angle with the same properties as angle BAC.

Hence, He should do all the steps that are mentioned in the question to make sure the new angle is congruent to angle BAC and has the same properties.

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We must factorize the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial.

A mathematical expression made up of coefficients and uncertainty that only makes use of additions, subtractions, multiplications, and positive integer powers of variables is known as a polynomial. The formula x2 4x + 7 denotes a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. An algebraic statement with variables and coefficients is called a polynomial. An expression can only contain the operations addition, subtraction, multiplication, and non-negative integer exponents. Polynomials are the name for these expressions.

We must factorize the provided polynomial equation in order to obtain a linear and quadratic equation before we can discover the roots of the three-degree polynomial. The zeros of the three-degree polynomial are then easily ascertainable.

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Answer:

So in total, 1681 pennies were collected.

Step-by-step explanation:

divide the total amount collected, $16.81, by the value of a penny, which is $0.01.

16.81 / 0.01 = 1681 pennies.

So in total, 1681 pennies were collected.

The equation that shows how many students are absent is 26+a = 30 and 4students are absent

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.

Also a linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

There are 30 students in a class and 26 students are present.

Let's represent the number of student absent by a

therefore the sum of the number of student absent and the student present will give the total number of student.

26+a = 30 and

a = 30-26

a = 4

therefore 4 students are absent

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The substitution method is a process used to solve a system of equations. It involves replacing one variable with the expression of the other variable in one equation, and then solving for the remaining variable.

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No, 25 is not a prime number. It can be divided by 5 without a remainder, so it has factors other than 1 and itself.

A prime number is a positive integer greater than 1 that has no positive integer divisors other than 1 and itself. In other words, a prime number can only be divided evenly by 1 and by itself. They are considered to be the "building blocks" of the natural numbers, and are important in number theory and other branches of mathematics.

The factors of 25 are 1, 5 and 25. Prime numbers are numbers that are divisible by only 1 and themselves. So 25 is not a prime number.

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Answer: 32

Since you have 4 choices of shirts, then 4 choices of shorts, and then 2 choices of shoes, the formula should be set up as 4 x 4 x 2. This gives you 32 outfit options.

no just no because I'm too busy for this stupodnesss and ur in the matrix

Answer:The zero exponent is equal to 1 to satisfy a certain case in manipulating bases with exponents. When multiplying or dividing the same base with exponents we add or subtract the exponents: To find the value of (3^3) (3^2) [the short form of (3 X 3 X 3) X (3 X 3) or (27) (9)] we add exponents to get 3^ (3+2) or 3^5 with a value of 243.

Step-by-step explanation:

The original cost of the car would be the total depreciation plus the cost of the car after one year. So, the original cost of the car would be 3600 + (the cost of the car after one year).

1. Calculate the total depreciation for the year: 3600

2. Add the total depreciation to the cost of the car after one year: 3600 + (cost of the car after one year)

3. The answer is the original cost of the car: (3600 + (cost of the car after one year))

The original cost of the car would be the total depreciation plus the cost of the car after one year. So, the original cost of the car would be 3600 + (the cost of the car after one year).

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