For each pair of triangles below, decide whether or not they are similar. If they are similar, write the similarity
statement (
ABC
. . .) and the similarity property (
SSS SAS , ,
etc. ) that proves it. If they are not similar,
write “not ” and explain why. NOTE: Pictures are likely not drawn to scale!

The perimeter of the given polygon is about 16.4 units.

We want to find the perimeter of the polygon whose vertices are (-3, 2), (2, 2) and (-1, -3).

The perimeter will be equal to the sum of the distances between the vertices, and remember that the distance between two points (x₁, y₁) and (x₂, y₂) is:

d = √( (x₂ - x₁)² + (y₂ - y₁)²)

The distances are:

between (-3, 2) and (2, 2)

d = √( (-3 - 2)² + (2 - 2)²) = 5

between (-1, -3) and (2, 2)

d = √( (-1 - 2)² + (-3 - 2)²)

d = √( 9 + 25) = 6

between (-1, -3) and (-3, 2)

d = √( (-1 + 3)² + (-3 - 2)²)

d = √29 = 5.4

Then the perimeter is:

5.4 + 6 + 5 = 16.4

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Answer:

Todd spent 75, Matt spent 50 and Jeff spent 150

Step-by-step explanation:

Matt = y - 25

Jeff = 3(y - 25)

Todd = y

y - 25 + 3y - 75 + y = 275

5y - 100 = 275

5y = 275 + 100

5y = 375

y = 375/5

y = 75.......Todd therefore spent 75 dollars!!

I think it gets easy from here

Negative numbers doesn't have real square roots since a square is either positive or 0.

Negative Square Roots Simplifying an expression involving the square root of a negative quantity is done by simplifying the quantity as if it was positive, and placing an i in front as a coefficient.

for example:-

The square root of -9 is 3i. But if you are talking about real numbers, then there would be no solution.

Square root

The square root of a number is defined as the value, which gives the number when it is multiplied by itself.

The √ symbol that is used to denote square root or nth roots.

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A system of three linear equations in two variables that satisfies the given situation can be x + y = 5, 2x + y = 5, and x + 2y = 5

To satisfy the given situation for a system of three linear equations, write any linear equation as the first equation. Let's say

x + y = 5

For the second equation, multiply the x term of the first equation by any factor, keeping the y term and the constant unchanged.

2x + y = 5

The last equation could be written using the second equation wherein the constant of the variable x and y are interchanged.

x + 2y = 5

Any two of the equations in this system have exactly one solution, because they have a unique solution when we solve them individually. However, when we try to solve the entire system by using all three equations, we find that the system has no solution.

This can be easily seen by solving the system by substitution, elimination, or graphical method.

It is also possible to use different equations but with the same criteria, the key is that at least one of the equations should be the negation or a multiple of another equation.

The problem seems incomplete/unreadable, it must have been...

"Write a system of three linear equations in two variables so that any two of the equations have exactly one solution, but the entire system of equations has no solution."

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Answer: 25 degrees

Step-by-step explanation:

2x + 10 + 30 = 90

2x = 50

x = 25 degrees

A number that goes into a greater number with no remainders is called a factor.

A factor is an integer that divides into a greater number without any remainders.

For example, the number 6 is a factor of 18 because when 18 is divided by 6, the answer is 3 with no remainders. Similarly, the number 3 is a factor of 12 because when 12 is divided by 3, the answer is 4 with no remainders.

Factors are important in mathematics because they can be used to solve equations and determine the greatest common divisor (GCD) of two or more numbers. Factors can also be used to determine prime numbers and their multiples.

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Step-by-step explanation:

remember,

x^-n = 1/x^n

any negative exponent of 1.3 means we have to consider it as 1/1.3 with the positive exponent.

so, if the given temperature (x) is negative, 1.3 has a positive exponent and gets bigger and bigger the lower (smaller) x gets.

if the given temperature (x) is positive, 1.3 has a negative exponent and gets smaller and smaller the higher (bigger) x gets.

the domain is the interval or set of all valid x-values.

there is no need for any restriction for x.

so, the domain is all real numbers.

the question is : up to what temperature will there be heating ?

at 5°C ? yes, sure.

at 10°C ? yes, sure.

at 15°C ? some people still need heating.

at 20°C ? most likely not.

but f(20) = $0.042094266... ≈ $0.04

so, still a tiny little bit of heating is happening for the function, but in reality most likely not at all.

the information about such a limit is missing in the question. so, again no limit for x.

f(-8) means that x = -8.

f(-8) = 8(1.3)^--8 = 8(1.3)⁸ = 8×8.15730721 =

= 65.25845768

when the low outside temperature is -8°C, it would cost $65.26 to heat the building.

I don't know the answer options to the last part, but the interpretation certainly is in the context of the problem.

Answer:

From the top of a 12 foot ladder, the angle of depression to the far side of a sidewalk is , while the angle of depression to the near side of the sidewalk

Step-by-step explanation:

Since Quadrilateral CDEF is inscribed in Circle A, the value of x is equal to: B. 33.

Since Quadrilateral CDEF is inscribed in Circle A, we can reasonably infer and logically deduce that line segment DF is the chord of Circle A. Mathematically, an equation which can be used to solve for the value of x in this circle is given by:

m∠DEF + m∠DCF = 180°

Substituting the given parameters into the formula above, we have the following;

(3x + 7)° + (2x + 8)° = 180°

3x + 2x + 8 + 7 = 180°

5x + 15 = 180°

5x = 180° - 15

5x = 165

x = 165/5

x = 33.

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[tex]{3 }^{p} = \frac{1}{9} [/tex]

[tex]{3 }^{p} = 9 {}^{ - 1} [/tex]

[tex]{3 }^{p} = (3 {}^{2} ) {}^{ - 1} [/tex]

[tex]{3 }^{p} = 3 {}^{} {}^{ - 2} [/tex]

[tex]p = - 2[/tex]

Answer:its b

Step-by-step explanation:yall dume

12 rows had been completed before Elena started working.

What is meant by rows ?

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Answer:

Step-by-step explanation:

when GDK goes up GD goes down

Answer:1.4

Step-by-step explanation: Because lbs are the same thing as pounds

Discovering an antiderivative of a function is the process of integration.

Adding or adding up the components to get the whole is a process known as integration. Reducing the functions into their component elements is a reverse differentiation procedure. Utilizing a broad scale, this method is utilised to find the sum.

A function's antiderivative is discovered by integration. It is the definite integration if a function can be integrated and if the integral of that function across the domain is finite with the given bounds. When d/dx(F(x) = f(x), dx = F(x) + C. Indefinite integrals are what these are.

As opposed to differentiation, integration is the opposite. In other words, the integral of 2 can be 2x + 3, 2x + 5, 2x, etc. Because of this, we must include a constant when integrating. The integral of 2 is therefore 2x + c, where c is a constant.

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Let's first review the Sin function before talking about Sin 0. Therefore Sin 0 value is 0.

The Sine, Cosine, and Tangent functions in trigonometry are used to determine the angles and length of a right-angled triangle, respectively.

The relationship between the angle, perpendicular side, and hypotenuse side is defined by the sine function.

Alternatively, you can use sin theta, which is equal to the right-angled triangle's perpendicular to hypotenuse ratio. Sin theta is the angle produced between the hypotenuse and adjacent side.

Definition Of Sin In Relation To Sin 0.

Sin 0 denotes that (x,y) is where the value of the x coordinate is 1, and the value of the y coordinate is 0. (1,0). In this case, the hypotenuse has a value of 1, and the opposing side or perpendicular has a value of 0.

As a result, if we set the numbers in the sin ratio for = 0, the perpendicular side to be 1, and the hypotenuse to be 0, we obtain,

Sin 0 = 0/1

Sin 0 = 0

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Answer:

I am so glad you were able to do it! Congrats on 100%

Step-by-step explanation:

That's great you got 100%!!!

The given statement that " Ricardo has an equally likely chance of spinning an odd number as spinning a number less than 4" is True.

When rolling a fair dice, the probability of getting an odd number is:

= Number of odd numbers / Number of sides on die

Number of odd numbers = 1, 3, 5

Probability of odd number:

= 3 / 6

= 1 / 2

Probability of number less than 4 :

= 3 / 6

= 1 / 2

Ricardo therefore has  an equally likely chance.

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Options for this question are:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

What is quadratic equation?

Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic problem.

Any equation in algebra that can be written in standard form as where x stands for an unknown value, where a, b, and c stand for known values, and where a 0 is true is known as a quadratic equation.

x ax2 + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.

Therefore, Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

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[tex] \frac{3x + 9}{6} = x - 3 \\ [/tex]

[tex]3x + 9 = 6(x - 3)[/tex]

[tex]3x + 9 = 6x - 18[/tex]

[tex]6x - 3x = 9 + 18[/tex]

[tex]3x = 27[/tex]

[tex]x = \frac{27}{3} \\ [/tex]

answer: [tex]x = 9[/tex]

The set of ordered pairs that is a function is (b) (-9, 9), (-8, 1), (2, -4), (-2, 1)

The list of options represents the given parameter

All ordered pairs are relations but not all ordered pair are functions

For an ordered pair to be a function, the following must be true:

The y values on the ordered pair must have  different x values

Using the above as a guide,

This means that the ordered pair in option (b) represents a function

Hence, the ordered pair that is a function is (b)

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Answer:

125, 216, 343, 512

Step-by-step explanation:

The next number in the sequence 1, 8, 27, 64 is 125.

This sequence follows the pattern of starting with the number 1, then finding the cube of each subsequent integer (the cube of a number is found by multiplying the number by itself twice, so the cube of 2 is 222=8). Therefore, the next number in the sequence would be 555=125.

To make a true equation, check your math to make sure that the values on each side of the equals sign are the same.

step1

(a) a +v = b-(v+5)

1+5=6 not equal a+ v=5

To check if a given value is a solution to an equation:

Evaluate the left-hand side expression at the given value to get a number

Evaluate the right-hand side expression at the given value to get a number.

See if the numbers match.

If you add the same number to both sides of an inequality, the inequality remains true.

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Correct question:

What criteria must meet to say that a+v=b-(v+5) is true?

K is therefore equal to 1/2 since in the right-angled triangle, one angle is 45 and the perpendicular is 10 cm.

Since a triangle has three sides and three vertices, it is a polygon. It is a fundamental geometric shape. Triangle ABC is the moniker given to a triangle that has vertices A, B, and C. When the three points are not collinear, a singular plane and triangle are found in Euclidean geometry. A triangle is a polygon if it has three sides and three corners. The points where the three sides meet are known as the triangle's corners.

given

If you have an angle and its opposite side, you may calculate the hypotenuse by dividing the length of the opposing side by sin().

To find the length of the side next to the angle, you can also divide the length by tan().

Let the hypotenuse be AC=x

Now given AB=Kx

In △ABC

sin45 ∘ = AC / AB

1/2 = kx/x

K= 1/2

K is therefore equal to 1/2 since in the right-angled triangle, one angle is 45 and the perpendicular is 10 cm.

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One graph will pass through the origin and the second graph will meet the x-axis at 3, -1.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given two function

For  y=2x²:

Since the value of x = 0, the value of y is 0.

thus this graph will pass through the origin and will only have 1 solution.

For  y = x²-2x-3:

At y = 0

x²-2x-3 = 0

x = 3, -1

Therefore, This graph will pass through the x-axis at 3, -1.

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In the production range of 2 to 3 combs, the opportunity cost of producing one more comb is d) 0.14 brushes.

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(b) √29 is between 5 and 6. You can approximate it by finding the perfect squares that are closest to 29: 25 (5^2) and 36 (6^2). √29 is between 5 and 6 since 5^2 < 29 < 6^2

(c) √54 is between 7 and 8. You can approximate it by finding the perfect squares that are closest to 54: 49 (7^2) and 64 (8^2). √54 is between 7 and 8 since 7^2 < 54 < 8^2.

final answer:y= - 1/97 - 6

to find slope, just do the opposite reciprocal of the given slope

to find y-intercept just substitute the given point in y=mx+b

hope this helps!