What is the distance between points J and K?

Please, show your work.

Answer:

A = f - D

Step-by-step explanation:

f = D + A ( isolate A by subtracting D from both sides )

f - D = A

Answer:

A=F-D

Step-by-step explanation:

fht7ts3yfx yi. 4hu c h 4tyfdrhuezjuf drucdtufdgyt

Athree dimensional shape with two similar, parallel rectangular bases and sides that are parallelogram" will be the correct option.

The box for a deck of cards will have a rectangular prism shape.

Two parallel rectangular bases, two sides that run parallel to one another along their width, and two similarly parallel rectangular sides running along their height make up a rectangular prism.

A rectangular prism has two parallel rectangular bases, 2 sides parallel to each other along width and 2 similar parallel rectangular sides along the height.

As a result, choice A, "a three-dimensional shape with two comparable, parallel rectangular bases and sides that are parallelograms," will work.

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According to the illustration below The figure becomes convex if vertex C is reflected over the BD line.

A reflex angle is any angle larger than 180 degrees but less than 360 degrees. For example, a reflex angle is 270 degrees. There are several sorts of angles in geometry, including acute, obtuse, and right angles that are less than 180 degrees. There is a reflex angle for every acute as well as an obtuse angle.

The reflex angle can be measured in one of two ways: either measure its inner angle and subtract it from 360° (to get the reflex angle) and measure the reflex angle itself.

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The  justification for the first step in proving the formula for factoring the sum of cubes [tex]a^3+b^3[/tex] is the distributive property.

Given the formula for sum of cubes [tex]a^3+b^3[/tex] = [tex](a+b)(a^2-ab+b^2)[/tex]

                                                                       = [tex]a^3-a^2b+ab^2+a^2b-ab^2+b^3[/tex]

In this step distributive property is utilized.

Distributive property is used for expanding the factors into the polynomial.

i.e., a(b+ c) = ab +ac

or, (a+ b)c = ac + bc

This is referred as the distributive property.

In the formula for  [tex]a^3+b^3[/tex], (a+ b) is distributed over  [tex](a^2-ab+b^2)[/tex].

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Answer:

a. Distributive

Step-by-step explanation:

took da test 100%

5.03 x 10²¹ atoms of calcium are equivalent to 8.6 × 10⁻³ moles of calcium atoms.

To convert atoms to moles we need a conversion factor: Avogadro's number. According to Avogadro's number: there are 6.02 × 10²³ calcium atoms in 1 mole of calcium atoms. The number of moles corresponding to 3.00 × 10²¹ atoms of calcium is:

Number of moles = 5.03 x 10²¹ /  6.02 × 10²³

Number of moles = 8.6 × 10⁻³ moles of calcium

5.03 x 10²¹ atoms of calcium are equivalent to 8.6 × 10⁻³ moles of calcium atoms.

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Answer:

see explanation

Step-by-step explanation:

A drop in temperature is indicated by - ( negative symbol )

A drop of 2° followed by a drop of 3° is

- 2 + (- 3) = - 2 - 3 = - 5°

the sign of the sum is -  ( negative add a negative is negative )

the total change in temperature is - 5°

the sum of 2 positive integers is positive , that is

+ 2 + (+ 3) = + 2 + 3 = = + 5

Give an example of a number that is not a rational number. [tex]\pi =3.14[/tex]

Why it is not rational?

What is an irrational number?

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Answer:

the answer is

[tex]176 \times \frac{41}{53} [/tex]

hope this helps

90°  rotation in clockwise direction.

What is coordinates ?

The formulae for finding the new coordinates are given by

x' = x cosθ - y sinθ

y' = x sinθ + y cosθ

Substituting θ = 270

x' = x cos270° - ysin270°  = x(0) - y( -1) = y

y' = x sin270° + y cos270° = x(-1) + y( 0) = x

New coordinates are ( y , -x)

270° rotation in anti-clockwise direction is same as   360 -270 = 90° rotation in clockwise direction.

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Answer: The nth term of the sequence whose integers are between 1 -9 such that there is the permission of repetition but no two consecutive digits must be even is 1.834 x [tex]10^{21}[/tex]

Step-by-step explanation:

Given data,

Two people pair up to create a sequence. Each of them pick five random digits from 1 to 9.

Define Consecutive numbers :

Consecutive numbers are numbers that follow each other in order. They have a difference of 1 between every two numbers. In a set of consecutive numbers, theme an and the median are Equal. If n is a number, then n, n+1, and n+2 would be consecutive numbers Examples. 1, 2, 3, 4, 5.

The numbers that are given:

Now, suppose a (n) denotes the number of n-digit positive integers as stated in the question, thereby using:

              = (9!) x (8!) x (7!) × (6!) × (5!) × (4!) × (3!) × (2!) × (1!)

             = 362880 x 40320 x 5040 x 720 x 120 x 24 x 6 x 2 x 1

            [tex]n^{th}[/tex] = 1.834 x [tex]10^{21}[/tex]

Therefore,

The nth term of the sequence whose integers are between 1 -9 such that there is the permission of repetition but no two consecutive digits must be even is 1.834 x [tex]10^{21}[/tex].

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Answer:

It rose 6 degrees

Step-by-step explanation:

I hope that's what you're asking...

Answer:

The value of x after simplification is 6, which when substituted in the given expression will make both the sides equal.

Step-by-step explanation:

It is given that the expression given below is to be simplified using the order of operations;

The given expression is;

=> (3×2)² + 8 = ___² + 8

Now, let us assume that the blank space is 'x' in the above-mentioned question;

Firstly,

We will solve the terms within brackets as per BODMAS rules that is multiplication of both the terms;

=> (3×2)² + 8 = x² + 8

=> 6²  + 8 = x² + 8

Now, we will solve the squares of the terms given above;

=> 36  + 8 = x² + 8

Now, we will add the terms as per BODMAS rules;

=> 44 = x² + 8

=> 44 - 8 = x²

Now, we will subtract the terms as per BODMAS rules;

=> 36 = x²

Now, we will square-root both the sides given above;

=> x = √36

=> x = 6

Therefore, the value of x after simplification is 6, which when substituted in the given expression will make both the sides equal.

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Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is obtuse.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

4.2 + 6.4 > 7.6

6.4 + 7.6 > 4.2

7.6 + 4.2 > 2.6

Hence, these set of numbers can be the measures of the sides of a triangle.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]a^{2} + b^{2} < c^{2}[/tex]

obtuse if  [tex]a^{2} + b^{2} > c^{2}[/tex]

right if  [tex]a^{2} + b^{2} = c^{2}[/tex]

∴The longest side is 7.6.

Hence, a = 4.2, b = 6.4 and c = 7.6;

Consider [tex]a^{2} + b^{2}[/tex] :

= [tex]4.2^{2} + 6.4^{2}[/tex]

= 58.6.

Now consider [tex]c^{2}[/tex] :

= [tex]7.6^{2}[/tex]

=57.76.

Thus,  [tex]a^{2} + b^{2} > c^{2}[/tex]

Hence, the triangle is obtuse.

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Answer: only the first one

Step-by-step explanation:

The total bill that Ana would pay is $560.

The total bill that Ana owes is the sum of the first $100 and 10% of the remaining bill since the insurance company would pay 90% of the bill.

The mathematical operation that would be used to determine the total bills are addition, multiplication and subtraction. Addition is the process of determining the sum of two or more numbers. Subtraction is the process of calculating the difference between two or more numbers. Multiplication is the process of determining the product of two or more numbers.

Total bill = first $100 + 90%(total bill - $100)

$100 + 10%($4,700 - $100)

$100 + 10% x 4,600

$100 + (0.1 x 4,600)

$100 + $460

$560

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According to the question, to check whether the events are mutually exclusive or not for the even integers.

As per question, select random integer numbers from [tex]1[/tex] to [tex]20[/tex] to get either an even number or a number divisible by [tex]3[/tex].

Therefore , the probability can be written as:

[tex]P(e or d) = \frac{P(E)}{n(E)} = P(e)+P(d)-P(e and d)[/tex]  

              [tex]= \frac{10}{20} +\frac{6}{20} -\frac{3}{20} = \frac{13}{20} = 65%[/tex]

The event is not mutually exclusive.

Since, the calculated percentage is [tex]65%[/tex] and it is not nearest to tenth of a percent.

What are mutually exclusive events?

Mutually exclusive events are those events which cannot happen at the same time. For instance, in any event nobody can run forward or backward together at the same time.

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Answer:

d

Step-by-step explanation:

The sine for the right triangle  A is 3/5.

The ratio between the side opposite the angle and the triangle's hypotenuse is known as the sine (sin) of an acute angle in a right-angled triangle. A right angle in geometry and trigonometry is an angle that is exactly 90 degrees, or 2 radians, which is equivalent to a quarter turn. If a ray is positioned so that its terminal is on a line and they are equal, the neighbouring angles are right angles.

Sin(A) = opposite/hypotenuse

           =BC/AB

           =3/AB

Given,

BC = 3

AC = 4    

Now solve for AB using Pythagorean theorem:

BC2 + AC2  = AB2

32 + 42 = AB2

9 + 16 = AB2

25 = AB2

AB = 5

Hence,

The value of AB is 5.

BC/AB = 3/5

Therefore, The sin of triangle A is 3/5.

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According to the statement an inequality to describe the possible measures of  ∠Z = 23.

An inequality is a relationship that makes a non-equal comparison of two integers or any other mathematical expressions. It is most commonly used to compare two digits upon that number line based on their size. a statement of an order relationship—greater than, larger than the other or equal thereto, less than, or lesser than or equal to—between two integers or algebraic expressions

the sum of the angles' measurements

triangle is 180 and  ∠ X=157.

∠ X + ∠ Y +∠ Z = 180

∠ Y +∠ Z  = 23

If ∠Y  was 0, then ∠Z would equal 23. But since an angle must have

a measure greater than 0,  ∠Z must be less than

23, so z < 23.

an inequality to describe the possible measures of  ∠Z = 23.

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Answer:

I'm pretty sure it's -1 but correct me if I'm wrong

Answer: x=-1

Step-by-step explanation:

x=-1

because

2x - 10

over = 3x

4

we can put everything in parentheses and multiply by 4

2x - 10

4( over )= (3x) 4

4

The 4's on the left side will cancel out around and leave

2x - 10

on the right we multiply 3x x 4 which equals 12x

rewrite the equation

2x - 10 = 12x

subtract 2x on each side with the variable.

2x - 10 = 12x

-2x -2x

the 2x's on the left will cancel out.

on the right 12x - 2x equals 10x

now the equation is

-10=10x

but we are not done

divide 10 on each side

on the left -10/ 10 equals -1 because one number is negative and that does not give a postive result.

on the right 10x/ 10 the 10's cancel out leaving the varible x

we are left with

x=-1

Answer:

Step-by-step explanation:

x − 1. _. 3. = 3 by 3 gives x − 1 = 9 and then adding 1 to both sides of x − 1 = 9 gives x = 10. Choices A, B ... written as the equation 16 + 4x = 10 + 14, which is equivalent to 16 + 4x = 24. Subtracting

I bought 2 small notebooks and 4 large notebooks.  

Let us represent the number of small notebooks with x and number of large notebooks with y.

Forming equation according to bought number of books -

x + y = 6 - equation 1

Rewriting the equation according to x

x = 6 - y  - equation 2

Now, forming equation according to cost of notebooks -

8x + 10y = 56 - equation 3

Keep the value x from equation 2 in equation 3

8 (6 - y) + 10y = 56

Performing multiplication

48 - 8y + 10y = 56

Performing subtraction and shifting values to other side of equation

2y = 56 - 48

2y = 8

Shifting 2 to other side of equation and performing division

y = 8 ÷ 2

y = 4

Keep the value of y in equation 2

x = 6 - 4

x =  2

Hence, I bought 2 small notebooks and 4 large notebooks.

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A capable listener have  find the most interesting or useful.

Here are 4 therapist secrets to help you hone this important skill -

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The given function is f(x) = 2x-4,

We have to find the equation where the reflection of this function is over the x-axis.

There are two types of reflections in general when we talk about functions;

Now we take an example that we are provided with a point with coordinates (x, y). If we want to reflect it over the x-axis, then the coordinates of this point will become (x, -y). This is because the values of y are negative when we move above the x-axis and positive when we move below the x-axis and vice versa.

The equation to show this is: y = -f(x).

We multiply the entire function, f(x), to find it by a negative. Since f(x) = 2x-4, the transformed function is f(x) = -2x+4.

Therefore, the function rule for the function shown is -f(x).

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Answer:

3 upon 2. that's the answer ..

If two of the three numbers are 24 and 42, then the GCF of these two numbers is 6 and the third number is possibly 48.

Factor is a number which when a number is divided will result to another number(whole). For two or more numbers, the largest common factor that they have is called the Greatest Common Factor (GCF).

To find the GCF of 24 and 42, list all the factors of both numbers.

24 : 1, 2, 3, 4, 6, 8, 12, 24

42: 1, 2, 3, 6, 7, 14, 21, 42

Common Factors: 1, 2, 3, 6

Greatest Common Factor: 6

If the third number is grater than 42 and does not change the GCF, then the third number is possibly 48.

24 : 1, 2, 3, 4, 6, 8, 12, 24

42: 1, 2, 3, 6, 7, 14, 21, 42

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Common Factors: 1, 2, 3, 6

Greatest Common Factor: 6

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(A) x2 + (y – 3)² = 36, is the equation that represents circles with a diameter of 12 units and a center on the y-axis.

So, the standard form for calculating the equation of a circle is as follows:

(x-a)² + (y-b)² = b = r²

Where;

Information:

If the center is on the y-axis, it will be at (0, 3).

By substituting into the formula, we get (x-0)² + (y-3)² = 6² is equivalent to

Therefore, the equation that represents circles with a diameter of 12 units and a center on the y-axis is (A) (A) x2 + (y – 3)² = 36.

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The correct question is given below:
Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

a. x2 + (y – 3)2 = 36

b. x2 + (y – 5)2 = 6

c. (x – 4)² + y² = 36

d. (x + 6)² + y² = 144

e. x2 + (y + 8)2 = 36

Answer:

4 miles

Step-by-step explanation:

3 miles plus 1 additional mile is 4 miles.

Dontrez took 1/8 lb fraction of trial mix to school for only 2 days.

What is a fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of a numerator, displayed above a line, and a non-zero denominator, displayed below that line. Numerators and denominators are also used in fractions that are not common, including compound fractions, complex fractions, and mixed numerals.

Dontrez took 1/8 lb fraction of trial mix to school for only 2 days.

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