How many triangles are there in the following figure 18 17 16 15?

Answers

Answer 1

There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.

The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.

However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.

Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.

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Related Questions

Is x2 4x 4 a perfect square trinomial?

Answers

x² + 4x + 4, this is a perfect square trinomial, which is expressed as

(x + 2)²

What is trinomial?

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Given that,

x² + 4x + 4

= (x)² + 2(2x) + 4

= (x)² + 2(x)(2) + 2²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 2)²

= (x + 2) (x + 2)

so, this is a perfect square trinomial.

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Please its due today

Answers

a) The domain and the range of the function are given as follows:

Domain: [-4,5).Range: [0,9].

b) The zero of the function is given as follows: (3,0).

c) The behaviors are given by these following intervals:

Increasing: (-4,0) U (3,5).Decreasing: (0,3).Constant: DNE.

d) The extremas are given as follows:

Relative minimum: (3,0).Relative maximum: (0,9).

e) The function is neither even nor odd.

What are the features of the function?

The domain of a function is the set that contains all the input values for the function, hence in the graph it is given by the values of x.

The range of a function is the set that contains all the output values for the function, hence in the graph it is given by the values of y.

The zeros are the points of the function at which it either crosses or touches the x-axis.

The function is increasing when the graph is moving up, and decreasing it the graph is moving down.

The extremas are given as follows:

Relative minimum: function changes from decreasing to increasing.Relative maximum: function changes from increasing to decreasing.

The function is classified as even, odd or neither as follows:

Even: f(x) = f(-x) for all values of x.Odd: f(-x) = -f(x) for all values of x.Neither: none of the two above statements are true.

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I really need an answer for this FAST so if anybody can answer id really appreciate it :)

Answers

both Square and Rectangle


because all squares are rectangles, but not all rectangles are squares. Hope this helps. :)

What is log and example?

Answers

Logs are a type of mathematical operation used to solve exponential equations.

Logs are written as log boxes, where b is the base. The base is the number that the logarithm is being calculated concerning. The x is the number that the logarithm is calculated. Logarithms allow us to convert multiplication and division problems into addition and subtraction.

For example, log2 (8) can be calculated by taking the logarithm of 2, which is 0.301029996, and then multiplying it by 8, which is 2.408239965. This means that log2 (8) is equal to 2.408239965.

Another example is log10 (100). This can be calculated by taking the logarithm of 10, which is 1 and then multiplying it by 100, which is 100.

This means that log10 (100) is equal to 100. Logs are an important tool in mathematics and are used in a variety of fields, such as chemistry, engineering, and economics.

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Se consideran los vectores u (-3,2) y v (5,1). Calcula gráficamente y utilizando las coordenadas del vector w= 2u – v

Answers

Answer:

hhhhhhhhhhhhhhhh hhhhhhhhhhh

Step-by-step explanation:

hhhhhhhhh hhhhhhhhh hhhhhhh hhhhhh

Please help quickly!
Use the figure below to answer questions 18-21

Answers

Answer:

Step-by-step explanation:

18. m∠1 = 104°

19. m∠2 = 79°

20. m∠3 = 65°

21. m∠5 = 73°

1. A taxi charges a flat rate of $1.75 plus an additional $0.65 per mile. If Eli has at most $10 to spend on the cab ride, how far could he travel?
17 miles

12 miles

23 miles

9 miles

2. Which inequality matches the statement below?

Three-fourths times x added to two times x is more than eleven

3/4x + 2 > 11

2x + 3/4x > 11

3/4(x+2) > 11

3/4 + x + 2 + x > 11

Answers

Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a taxi charges a flat rate of $1.75 and an additional $0.65 per mile.

Eli has at most $10 to spend on the cab ride

We need to find how far could he travel

1.75+0.65x≤10

Subtract 1.75 on both sides

0.65x≤10-1.75

0.65x≤8.25

x≤8.25/0.65

x≤12.6

So he could travel 12 miles.

Three-fourths times x added to two times x is more than eleven

3/4x+2x>11

Hence,  Eli could travel 12 miles and 3/4x+2x>11 inequality matches the statement Three-fourths times x added to two times x is more than eleven

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What is the HCF of the polynomials x6 3x4 3x^2 1 and x^3 3x^2 3x 1?

Answers

The HCF of the polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1 is 1

When we divide the polynomials f(x) / g(x) then we get f(x) = g(x) × q(x) + r(x). Assuming the degree of g(x) > degree of r(x).

If the remainder r(x) is zero, then q(x) is the highest common factor of polynomials.

Here, we have been given two polynomials x^6 + 3x^4 + 3x^2 + 1 and x^3+3x^2 + 3x + 1

Let  f(x) = x^6 + 3x^4 + 3x^2 + 1 and  g(x) = x^3 + 3x^2 + 3x + 1

We can write these polynomials as:

f(x) = x^6 + 3x^4 + 3x^2 + 1

f(x) = (x² + 1)^3

The factors of polynomial  f(x) = x^6 + 3x^4 + 3x^2 + 1: 1 and  (x² + 1)^3

And g(x) = x^3 + 3x^2 + 3x + 1

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

And the factors of g(x) = x^3 + 3x^2 + 3x + 1 : (x + 1)^3 and 1

Therefore, the HCF of the polynomials f(x) and g(x) = 1

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What are the 4 types of real numbers?

Answers

Real numbers are every  number that exists in the real line, The four types of real numbers are rational, irrational, Natural and Integers.

What is a real number?

In mathematics, a real number is a value that can be represented on the number line. The set of real numbers includes both rational numbers (such as integers, fractions, and decimals) and irrational numbers (such as √2 and π). Real numbers also include positive numbers, negative numbers, and zero. The set of real numbers is usually represented by the symbol R, and it has the properties of being closed under the operations of addition, subtraction, multiplication, and division (except for division by zero).

What are ideal and real solutions?

In mathematics, an ideal solution refers to a solution that meets all the desired criteria or requirements without any constraints. It is the "best case" scenario. A real solution, on the other hand, refers to a solution that takes into account all the limitations and constraints of a problem. It is a more practical and realistic solution.

Rational number = 3/4, -6/2, or 0.5.

Irrational number = √2, π, or e.

Natural number = 1,2,3,4....

Integers = -4, -1, 0, 1, 4.

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what is 20% of 14000

Answers

Answer:

2800

Step-by-step explanation:

20% of 14,000 is 2800

Multiply both sides by 14,000, then divide the left side to get the result.

Answer:

2800

is what the calculator says

Find the measure of x.
14
X
48
x = [?]

Answers

Answer:

18.84

Step-by-step explanation:

x is the hypotenuse of the triangle.

For the 48° angle, 14 is the opposite leg.

The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.

sin 48° = opp/hyp

sin 48° = 14/x

x × sin 48° = 14

x = 14/sin 48°

x = 18.84

Solve this problem
Step by step

Answers

The value of x in the shape we have here is given as 18.7 cm

How to solve for the value of x

In this question we are to find the value of x using the values that we already have in the shape.

The base of the diagram has its length as 40 cm.

The shape is made up of two right angled triangles.

since the top of the shape is 26 m, the triangles would be gotten by

40 - 26 = 14

14 / 2 = 7cm

each rectangular base is therefore 7 cm

we have to solve for the value of x using the Pythagorean theorem

hence we would have:

7² + x² = 20²

49 + x² = 400

x² = 400 - 49

x² = 351

x = 18.7 cm

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The quotient of 18 and the number is three what is the number

Answers

Answer:

Step-by-step explanation:

Divide: 18 ÷3=?

The answer is 6

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives
the largest percentage of their gross pay in employee benefits?
a. Employee A: gross pay $32,600, total job benefits $33,600
b. Employee B: gross pay $32,900, total job benefits $34,000
c. Employee C: gross pay $33,400, total job benefits $33,900
d. Employee D: gross pay $33,700, total job benefits $34,700

Answers

The employee who receives the largest percentage of their gross pay in employee benefits is Employee D.
What is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often denoted using the percent sign, "%", or the abbreviation "pct". For instance, 45% (read as "forty-five percent") is equal to 45/100, or 0.45. Percentage can be used to express part-to-whole relationships, such as "25% of the students in the class". It can also be used to compare two or more values, such as "the temperature rose by 3% over the course of the day". In some cases, percentage can be used to calculate a quantity from a given value, such as finding the percentage increase from one number to another.

This is because they have the highest total job benefits ($34,700) when compared to their gross pay ($33,700). This results in a percentage of 103.3%, which is the highest of the four employee options.

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What is the value of x in the equation 2.5 6x 4 )= 10 4 1.5 0.5 x?

Answers

The value of x in this problem is 2.

Our given algebraic equation is 2.5 ( 6x - 4 ) = 10 + 4 ( 1.5 + 0.5x) and in this, we have to find the final value of x.

Use the transposing method to isolate the variable x and then solve for it.

distribute brackets on both sides of the equation.

= 2.5*6x - 2.5*4 = 10 + 4*1.5 + 4*0.5x

= 15x - 10 = 10 + 6 + 2x

collect terms in x to the left side and numeric values to the right side.

= 15x - 2x = 10 + 6 + 10

= 13x = 26

= x = 26/13 = 2

Therefore the final value of x in this equation will be 2.

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Why is the 4th interval called perfect?

Answers

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance.

The 4th interval is called perfect

The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third  and two semi-steps less compared to the perfect fifth .

The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated  (an alternate spelling is augmented third).

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Solve the following equation by first writing the equation in the form a x squared = c: 3 a squared minus 21 = 27 a. a = 4 b. a = plus-or-minus 4 c. a = plus-or-minus 16 d. a = 16 Please select the best answer from the choices provided A B C D

Answers

The best answer from the choices provided is a = plus-or-minus 16 . Option C

What is a quadratic equation?

A quadratic equation can be defined as an equation that can be rearranged in a standard form

Such that;

x represents an unknown value or variableThe variables, a, b, and c represent known numbersThe variable,  a ≠ 0

These quadratic equation are also described as polynomial equation having its highest degree as 2.

From the information given, we have that;

3a² - 21 = 27

collect like terms

3a² = 27 + 21

Add the values

3a² = 48

Divide both sides by 3

a² = 48/3

a² = 16

Hence, the value is a² = 16

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Andy and Trevor share 40 sweets in a ratio 11: 9
How many more sweets does Andy receive than Trevor does?

Answers

Answer:

Step-by-step explanation:

no

Answer:

22:18

Step-by-step explanation:

In this case, firstly you have to add 11 and 9 together, which makes 20.

Then, 40 ( number of sweets ), divided by 20 gives us 2.

This means that every piece, or block, of our ratio will be 2.

Therefore, the last step is multiplying 11x2 and 9x2.

So, Andy has 22 sweets an Trevor has 18.

Which of the options below are the terms of the expression 5x² + 9x + 6? Choose all of the correct answers. 5x 9x 6 X x² 5 5x² 9

Answers

The terms of the expression are 5x², 9x and 6

What are algebraic expressions?

Algebraic expressions are described as expressions that are composed of variables, factors, constants, coefficients and terms.

They are also known to be made up of arithmetic operation, such as;

DivisionAdditionParenthesesMultiplicationSubtractionBracket, etc

It is also important to note that terms in algebraic expressions are seen as summands in a sum that may be different only by a actor.

They can be regrouped by the addition of  their coefficients. Like terms are those that has the same variables to the same powers or coefficients.

The types are;

5x², 9x and 6

Thus, they are 5x², 9x and 6

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there can be more than one answer

Answers

The spring constant is 30 N/m and the stretch when the 420 N force is applied is 14 cm.

What is spring force?

The force needed or applied to compress or extend a spring on any attached object is known as the spring force.

A spring exerts an equal and opposite force on an object when the object exerts a force on it. It always takes action to get mass back to where it should be for equilibrium. 

Given that when 180 N force is applied the spring stretched by 6 cm. The spring stretch when the 420 N force is applied is calculated as,

First, calculate the spring constant,

F = kx

180 = k x 6

k = 30 N / m

Calculate the deformation,

x = F / k

x = 420 / 30

x = 14 cm

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Analyze and Persevere
Javi is building
a birdhouse. Each of the four walls of the
birdhouse needs to be 5.5 inches long.
Javi has a piece of board that is 24.5 inches
long. Is the board long enough to be
cut into the four walls of the birdhouse?
Estimate using compatible numbers.

Answers

Answer:

yes, the board is long enough

Step-by-step explanation:

5.5 in x 4 walls = 22 inches

The board is 24.5 in, so there is enough.

24.5 > 22, there is an extra 2.5 in left over.

483000 in standard form

Answers

Answer:

483000

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.

Answer:

48300000

We can write the above number as

4.83 x 10000000

=4.83 x 10 ^7

The triangle​ ACE, is a dilation image of triangle ABD. Point A is the center of dilation. Tell whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation. The length of side AC is 15.

Answers

Answer:

Enlargment and 5/4

Step-by-step explanation:

Find a basis for the eigenspace corresponding to the eigenvalue. 2-6 Al La 2 = 11 9 A basis for the eigenspace corresponding to a = 11 is a (Type a vector or list of vectors. Type an integer or simplified fraction for each matrix element. Use a comma to separate answers as needed) Find a basis for the eigenspace corresponding to the eigenvalue of A given below. A= 3 02 0 4,2 = 2 2 -3 3 A basis for the eigenspace corresponding to a = 2 is O. (Use a comma to separate answers as needed.)

Answers

A basis for the eigenspace corresponding to a = 11 is (1, -2, 0) and a basis for the eigenspace corresponding to a = 2 is (0,1,1).

An eigenspace is the set of all vectors that are multiplied by a matrix and remain unchanged. In this case, the eigenspace is the set of all vectors that when multiplied by the matrix A will result in a vector with a scalar multiple of the eigenvalue. The eigenvalue is found by solving the characteristic equation, which is the determinant of the matrix minus the eigenvalue multiplied by the identity matrix.

For the matrix A, the eigenvalues are 11 and 2. The corresponding eigenspace for each eigenvalue is then found by solving the homogeneous system of equations. For a = 11, the solution to the system is (1, -2, 0) and for a = 2, the solution is (0,1,1). Both of these vectors form a basis for the corresponding eigenspaces.

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i need help with this question

Answers

The required slope of the linear equation is -3 which values shown in the table.

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

The table is given in the question as follows:

x          y

-4       -15

-2        9

0         3

2        -3

4         -9

As per the question, we take the given points are (0, 3) and (4, -9).

So we can substitute these values into the formula:

m = (-9 - 3) / (4 - 0)

m = -12 / 4

Apply the division operation, and we get

m = -3

Therefore, the required slope of the linear equation is -3.

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Square root of 16b power four

Answers

Answer: 256b

Step-by-step explanation: So, first we need to find the square root of 16b.

That'd be 4b, because a square root is when a number can be divided by a number, such as 4 can go into 16 4 times, and like 5 can go into 25 5 times. So, we got 4b

So, 4 to the power of 4 (ignore the b right now) is the same as 4 x 4 x 4 x 4.

So simplified, that'd be 16 x 4 (64). So, 64 x 4 = 256.

So, I'd be 256b

What is the length of a leg of a 45 45 90 right triangle if the hypotenuse measures 5 square root of 2?

Answers

If the leg of the triangle is equal to a, then:

The second leg is also equal to a.

the given hypotenuse is a√2.

The given area is equal to a²/2; and

The perimeter equals a (2 + √2).

Now, looks easy, but from where does it come? There are various of methods to prove that equation, the most popular of them are:

By using the Pythagorean theorem, we can do that.

As you know one leg length a, then you know the length of the other as well, as both of them are equal.

The given 45 45 90 triangle shows the remaining parameters. Now you know that:

hypotenuse length is - 9 in * √2 = 12.73 in.

area is - 9 in * 9 in / 2 = 40.5 in²; and

perimeter - 9 in + 9 in + 9 in * √2 = 30.73 in.

Find the hypotenuse from the Pythagorean theorem:

a² + b² = c² => a² + a² = c² so c = √(2a²) = a√2

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two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12

Answers

The probability is 0.3845.The probability of anything occurring is known as probability.

How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.

Explanation:

2/52 * 10/52  = 20/52 = 0.3845.

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Any help is appreciated<3
A jewelry shop is offering a percent discount on the original price of a jade pendent. The original price of the pendant was $200.
Let d represent the percent discount, written as a decimal. Write an equation to find the discount price, y dollars, of the pendant.

Answers

An equation to find the discount price, y dollars, of the pendant is y=2d.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The original price of the pendant was $200.

Let d represent the percent discount, written as a decimal.

The discount price, y dollars, of the pendant.

y=d% of 200

y=d/100 ×200

y=2d

Therefore, an equation to find the discount price, y dollars, of the pendant is y=2d.

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20 workers can paint a building in 21 days. If work has to be finished in 15 days, find the number of extra workers required.

Answers

Step-by-step explanation:

20 workers finish work in 21 days.

the necessary work effort is 20×21 = 420 workdays.

the same effort is needed even if the overall time is shorter.

x workers in 15 days.

x × 15 = 420

x = 420/15 = 28 workers.

so, 28-20 = 8 additional workers are needed to finish the work in 15 days.

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