Segment KM is parallel Segment JN. What is the scale factor?

Segment KM Is Parallel Segment JN. What Is The Scale Factor?

Answers

Answer 1

Answer:first option

Step-by-step explanation:


Related Questions

I was selling raffle tickets for every two tickets he charges $16 complete the table below showing the number of tickets in the amount charges​

Answers

Answer:

Step-by-step explanation:

The table below shows the number of tickets and the amount charged based on this pricing structure:

Number of tickets | Amount charged

2 tickets | $16

4 tickets | $32

6 tickets | $48

8 tickets | $64

10 tickets | $80

And so on.

6. Gerard takes out a
$2500 loan at 5%
interest each month.

Answers

Answer:

1.05.

Step-by-step explanation:

you only earn 5% extra, not 0.5% extra.

6(x+1)=24 tape diagram

Answers

Answer:

6x+6=24. X=3

Step-by-step explanation:

you multiply whats in the brackets by what's on the outside, if the answer would be 24, it's 18 + 6, meaning X has to be whatever you multiply 6 by to get to 18, which in this case is 3.

HELP ME OUT PLEASE!!!!!

The colors and fonts on a website are created with:

HTML

HTTP

CSS

JavaScript​

Answers

The colors and fonts on a website are created with CSS.

In CSS, which colors are used?

rgb: #FFC0CB in pink (255,192,203)

Rgb: #EE82EE Violet (238,130,238)

rgb, built-in color #FF0000 for red (255,0,0)

Rgb green #008000 (0,128,0) (0,128,0)

Orange in RGB. #FFA500 (255,165,0) (255,165,0)

Rgb, #FFFF00, Yellow (255,255,0)

Rgb, blue #0000FF (0,0,255) (0,0,255)

How does CSS color coding work?

a visual representation of CSS colors

In CSS, hex values (or decimal digits) are most frequently used to represent color. Hex values are actually merely another method for expressing RGB values. Instead of three values ranging from 0 and 255, six hexadecimal numbers are used. Hex numbers run from 0 to 9 and from A to F.

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After graduating from college you have your first job in your area of study and are making $115,000 per year.

You are paid once each month and decide to put 10% of each paycheck into your retirement account at the end of each month.
How much will you deposit into the accounteach month? Round to the nearest $1.


$ per month

For the parts below, use the rounded value for your deposit amount.

The investements that you chosen to invest in average 7% growth per year compounded monthly.
How much will you expect to have in the account in 30 years?


$

How much total money will you put into the account?


$

How much total growth/interest should you expect will you earn?


$

If you manage to save an additional $100 each month, how much will you have in the account after 30 years?


$

Answers

Answer:

$11,500 per year or $958.33 per monthThe amount of money you will have in your account in 30 years would be $1,311,715.94The total money you will put into the account is $3,465,000The total growth/interest you should expect to earn is $946,315.94If you manage to save an additional $100 each month, you will have $1,385,719.71 in the account after 30 years.

Step-by-step explanation:

Write 1/4 pound for 4.50 as a unit rate

Answers

The unit rate is given by a quotient between the cost and the mass, the unit rate is 18 dollars per pound.

How to find the unit rate?

We want to find the unit rate for the given item, where we know that:

1/4 pound costs $4.50

To find the unit rate, we need to take the quotient between the cost and the mass.

We will get:

U = $4.50/(1/4 lb)

U = $4.50*4 /lb

U = $18 per lb

So the unit cost is 18 dollars per pound.

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Mr. Elliot's class created a mural about Martin Luther King in their school.
The mural was 4.75 feet long by 3.25 feet wide. If it took the class 30 minutes to paint 1 square foot of the mural, about how long did it take them to complete the whole thing?
PLEASE SHOW FULL WORK AND explain
THANKS FOR YOUR TIME :)

Answers

If it took the class 30 minutes to paint 1 square foot of the mural created about Martin Luther King by Mr. Elliot's class, it will take 7 hours and 43 minutes to complete the task, based on mathematical operations.

What are mathematical operations?

Mathematical operations basically involve addition, subtraction, division, and multiplication.

The area of the mural is determined by the multiplication of length and width.

The time taken to complete the whole painting is derived by proportionately equating the time it takes to paint 1 ft² to the time it would take to paint 15.4375 ft².

The length of the mural created = 4.75 feet

The width = 3.25 feet

The area of the mural = 15.4375 ft² (4.75 x 3.25)

The time to pain 1 ft² = 30 minutes

The total time to paint the whole mural = 463.125 minutes (15.4375 x 30)

= 7 hours 43 minutes (463.125/60).

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Two vessels are steaming eastward with the same speed. Vessel A departed from position
(83°16’N, 48°51’W), and Vessel B from position (32°43’N, 48°51’W). If they left their respective
ports at the same time, which vessel will reach the prime meridian first? Explain briefly your
answer.

Answers

When Vessel A and Vessel B start steaming at the same time and with same speed then Vessel B will reach the Prime Meridian first as it is at a closer distance to Prime Meridian.

What is distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

The coordinates of position of Vessel A is = (83°16’N, 48°51’W)

The coordinates of position of Vessel B is = (32°43’N, 48°51’W)

The coordinates of position of Prime Meridian is = (0°0’N, 0°0’W)

First calculate the distance in kilometers for Vessel A.

From initial position (83°16’N, 48°51’W) to final position (0°0’N, 0°0’W) -

The distance in kilometers is 9516 km.

Now, calculate the distance in kilometers for Vessel B.

From initial position (32°43’N, 48°51’W) to final position (0°0’N, 0°0’W) -

The distance in kilometers is 6270 km.

The distance from Vessel A to Prime Meridian is greater than the distance from Vessel B to Prime Meridian.

Therefore, it can be seen that vessel B will reach the prime meridian first.

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

10.58

Step-by-step explanation:

We are here given a right angled triangle in which two of the sides are 16 and 12 and we are interested in finding the third side x . We will use Pythagoras theorem here according to which the sum of squares of base and perpendicular is equal to the square of hypotenuse. so that,

[tex]\longrightarrow\sf h^2 = p^2+b^2\\ [/tex]

[tex]\longrightarrow\sf x^2 + 12^2 = 16^2\\ [/tex]

[tex]\longrightarrow\sf x^2 = 256 - 144\\ [/tex]

[tex]\longrightarrow\sf x =\sqrt{ 112}=\boxed{10.58} [/tex]

and we are done!

-Rishabh

Answer:

[tex]x=4\sqrt{7}=10.6\; \sf (nearest\;tenth)[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]

From inspection of the given right triangle:

a = xb = 12c = 16

Substitute the given values into Pythagoras Theorem formula and solve for x:

[tex]\implies x^2+12^2=16^2[/tex]

[tex]\implies x^2+144=256[/tex]

[tex]\implies x^2=112[/tex]

[tex]\implies x=\sqrt{112}[/tex]

[tex]\implies x=\sqrt{16 \cdot 7}[/tex]

[tex]\implies x=\sqrt{16} \sqrt{7}[/tex]

[tex]\implies x=4\sqrt{7}[/tex]

[tex]\implies x=10.6\; \sf (nearest\;tenth)[/tex]

Please give me an answer it will be very appreciated

Answers

Regardless of the type of triangle, all triangles have internal angles that sum up to 180°. An isosceles triangle will have two equal-sized angles.

What is the size of angle triangle?

The hypotenuse, or side across from the right angle, has a square whose length is equal to the sum of the squares of the other two sides in a right triangle, according to the Pythagorean theorem. In other words, if the hypotenuse's length is c and the lengths of the other two sides are a and b, then c2 = a2 + b2.

Whatever the type of triangle, all triangles have internal angles which sum to 180°. The two angles of an isosceles triangle will be equal in size. Every angle of an equilateral triangle is 60 degrees. The other two angles in a right-angled triangle will add up to 90° because the triangle has one angle that is 90°.

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lucky for you your roomate lends you a bicycle you ride the bicycle to work but it is stolen now you owe your roommate 250

Answers

You will have to pay $250 back to your friend as a payment of loss of his bicycle.

What is the difference between lending and investing?A lender does exactly what the word says-they lend you money that you must pay back, usually with interest. An investor puts money into a business, projects, schemes, ideas and so on, with the expectation of having a stake in the profits.

Given is that your roommate lends you a bicycle. You ride the bicycle to work but it is stolen now.

Owning $250 to your friend means that now you will have to pay $250 back to your friend as a payment of loss of his bicycle.

Therefore, you will have to pay $250 back to your friend as a payment of loss of his bicycle.

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Rewrite the expression 4(30+5) using the distributive property of multiplication over addition.

Group of answer choices

4(30+5)+4(30+5)

4(35)

4(30)+4(5)

4(305)

I need help ASAP I will mark whoever gets it right brainiest

Answers

The expression 4(30+5) rewritten using the distributive property of multiplication over addition is 4(30) + 4(5).

The correct answer choice is option C

What is distributive property?

The distributive property states that multiplying the sum of two or more addends by a number gives equal result as multiplying each addend individually by the number and then adding the products together.

4(30 + 5)

= 120 + 20

= 140

4(30) + 4(5)

= 120 + 20

= 140

Therefore, 4(30) + 4(5) is equivalent to 4(30 + 5) using distributive property.

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easy math. please help

Answers

Answer: 8π

Step-by-step explanation:

According to the graph, the radius of this circle is 4, and the diameter is 8.

The circumference of a circle equals diameter * π.

Therefore, the answer is 8π

Hi there! I saw someone already posted the answer the question, sorry I was so late in posting this.   In case you need more of an explanation, I can help with that.  :)

So as you may know, , the circumference of a circle has a formula of 2(pi)radius.  The radius of this circle is 4, it's half the diameter.  So that would be 2(pi)(4), and, multiplying the like terms first, is 8(pi).  That's 25.1327412287.  But you could just write that as 8pi.  That's B there.  :)

Good night!

The table shows the relationship
between gallons and quarts. What is the
missing value in the table?
A 4
B 8
C 16
D 20

Answers

The missing value in the table is 8 gallons.

What is gallons and quarts?Gallons and quarts are two measurements for volume. A gallon is the larger of the two, and it is a unit of measurement that is used to measure liquids. One gallon is equal to four quarts. A quart is a smaller unit of measurement, and it is also used to measure liquids. One quart is equal to one-fourth of a gallon. Both gallons and quarts are commonly used to measure liquids, such as water, milk, and other beverages. They are also used to measure fuel for cars, such as gasoline and diesel. Gallons and quarts are also used in the kitchen when measuring ingredients or cooking liquids. For example, a recipe might call for two quarts of chicken broth. In addition to measuring liquids, gallons and quarts are sometimes used to measure dry goods such as rice, beans, and other grains. For example, a recipe might call for two quarts of white rice. Knowing how to convert between gallons and quarts is important when measuring liquids or dry goods. One gallon is equal to four quarts, so if a recipe calls for two gallons, it can be converted to eight quarts. Likewise, if a recipe calls for four quarts, it can be converted to one gallon.

Solution:

1 gallon = 4 quarts

In the table shows 2 gallons is 8, that means 2 x 4 = 8

4 gallons is 16, which is 4 x 4 = 16.

Likewise, in fourth row, quarts is 32, we have to find gallons.

32/4 = 8 gallons

So, the missing value in the table is 8 gallons.

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The missing value in the table is 8 gallons.

What is gallons and quarts?

Gallons and quarts are two measurements for volume. A gallon is the larger of the two, and it is a unit of measurement that is used to measure liquids. One gallon is equal to four quarts.

A quart is a smaller unit of measurement, and it is also used to measure liquids. One quart is equal to one-fourth of a gallon.

Both gallons and quarts are commonly used to measure liquids, such as water, milk, and other beverages.

They are also used to measure fuel for cars, such as gasoline and diesel. Gallons and quarts are also used in the kitchen when measuring ingredients or cooking liquids.

For example, a recipe might call for two quarts of chicken broth. In addition to measuring liquids, gallons and quarts are sometimes used to measure dry goods such as rice, beans, and other grains. For example, a recipe might call for two quarts of white rice.

Knowing how to convert between gallons and quarts is important when measuring liquids or dry goods.

One gallon is equal to four quarts, so if a recipe calls for two gallons, it can be converted to eight quarts. Likewise, if a recipe calls for four quarts, it can be converted to one gallon.

1 gallon = 4 quarts

In the table shows 2 gallons is 8, that means 2 x 4 = 8

4 gallons is 16, which is 4 x 4 = 16.

Likewise, in fourth row, quarts is 32, we have to find gallons.

32/4 = 8 gallons

So, the missing value in the table is 8 gallons.

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Convert 1 centimeter into yards. Round your answer to the nearest hundredth.

Answers

One (1) centimeter into yards is equal to 0.01093613

What is centimeter?

We should know that centimeter is defined as  a metric unit of measurement used for measuring the length of an object.

It is written as cm.

A meter has 100 centimeters.

10 millimeters make one centimeter.

The centimeter can be written as cm.

While calculating the surface area of an object, the unit of measurement becomes cm².

While measuring the volume of an object, the unit of measurement becomes cm³.

1 centimeter converted into yard is 0.01093613

Yard [yd] to  Centimeter [cm]

0.01 yd 0.9144 cm

0.1 yd 9.144 cm

1 yd 91.44 cm

2 yd 182.88 cm

3 yd 274.32 cm

5 yd 457.2 cm

10 yd 914.4 cm

20 yd 1828.8 cm

50 yd 4572 cm

100 yd 9144 cm

1000 yd 91440 cm

From the table above we notice that 1 centimeter converted into yard is 0.01093613

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Express sin

C
C as a fraction in simplest terms.

Answers

Using sine function: sin =opposite/hypotenuse

How to calculate C as a fraction in simplest terms?

sin =opposite/hypotenuse

step1

example;

sin(60)=2.4/[tex]x[/tex]

[tex]x[/tex]=2.4/sin(60)

[tex]x[/tex]≈2.8

answer is 2.8

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what is truth..........................................................................................................................................

Answers

Answer:

nothing is truth

Step-by-step explanation:

because this world is like a circle

Simply square root of 3/10

Answers

The square root of 3/10 is 0. 55

What is square root?

The square root of a number is simply the the inverse operation of squaring that number. It is the value obtained with multiplying the number by itself.

It is determined by finding a number that when it is squared, gives the original number.

The square root of a number is also referred to as that factor of a number that when multiplied by itself gives the original number.

They are special exponents with squares.

Example:

If the square root of x is y, then x × x = y

It is represented with the symbol, √.

We have to calculate;

[tex]\sqrt{\frac{3}{10} }[/tex]

= √0. 3

= 0. 55

Hence, the value is 0. 55

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2
Select the correct answer.
If the graph of f(x) = 4x is shifted 7 units to the left, then what would be the equation of the new grap
O A.
О в.
O C.
O D.
g(x) = 4(x-7)
g(x) = 4x + 7
g(x) = 4(x+7)
g(x) = 4x - 7
Reset
Next

Answers

If the graph of f(x) = 4x is shifted 7 units to the left then the equation be 4(x+7).

What is meant by translation?

A translation in Euclidean geometry is a geometric transformation that shifts each point of a figure, shape, or space by the same amount in one direction. Another way to think of a translation is as the addition of a constant vector to each point or as a change in the coordinate system's origin.

A sort of transformation called a translation involves moving each point in a figure the same distance in the same direction.

Translation in geometry refers to shifting a shape into a different position without altering it in any manner. Shape translation is introduced to students in Year 5 by providing them shapes on squared paper, which must then be moved a specific number of squares up, down, left, or right.

1) {f(x) + a} is f(x) shifted up (a) units

2) {f(x) – a} is f(x) shifted down (a) units

3) {f(x + a)} is f(x) shifted left (a) units.

4) {f(x – a)} is f(x) shifted right (a) units.

Let the given function be f(x) = 4x

When exists shifted 7 units to the left, we should apply rule (3) where a = 7

f(x + 7) = 4(x+7) = 4x +28

Therefore, the correct answer is option c) g(x) = 4(x+7).

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What is 2/3 cup equal to

Answers

1/3 hope this helps

A racoon leaves her den and moves 30 m in 12 seconds. She stops for 15 seconds, then travels again
moving 45 m in 20 seconds. What is the racoon's average speed?

Answers

The average speed of the racoon is given by 1.28 m per second

What is Speed and Distance ?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The length of the entire journey taken to go from one point to another is the distance traveled.

The overall distance the object covers in a given amount of time is its average speed. A scalar value represents the average speed. It has no direction and is indicated by the magnitude.

Total distance travelled = 15 + 45 m = 60 m

Total time of travel = 12 + 15 + 20 = 47 sec

Avewrage speed = Total distance / total time = 60/ 47 = 1.28 m/sec

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Find the 52nd term of the arithmetic sequence -24, -7, 10, ...

Answers

The 52nd term of the arithmetic sequence -24, -7, 10, ..... is equal to 843.

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = -7 - (-24)

Common difference, d = -7 + 24

Common difference, d = 17

Substituting the given parameters into the formula, the 52nd term of this arithmetic sequence is given by;

a₅₂ = a₁ + (52 - 1)d

a₅₂ = -24 + (51)(17)

a₅₂ = -24 + 867

a₅₂ = 843.

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or A fashion photographer needs to hire a stylist to prepare her models. Helen charges $150 for showing up, plus $70 per hour. Miguel charges $200 plus $60 per hour. The photographer realizes that, given the expected duration of her photo shoot, either stylist would cost her the same amount. What would the duration be?

Answers

Answer:695

Step-by-step explanation:

HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

answer is 10

Step-by-step explanation:

With a dosage of x cubic centimeters (cc) of a certain drug, the resulting blood pressure B, in millimeters of mercury (mmHg), is approximated by
B(x)=50 + 30500x^2 -183000x^3
Find the maximum blood pressure and the donate at which it occurs

Answers

The pressure will be maximum at x = 0.1 cc.

What are functions?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y.The set X is called the domain of the function and the set Y is called the codomain of the function.Functions whose domain are the non - negative integers, known as sequences, are often defined by recurrence relations.Given a function as [tex]${\displaystyle f\colon X\to Y}[/tex] its graph is, formally, the set -

        [tex]${\displaystyle G=\{(x,f(x))\mid x\in X\}.}[/tex]

Given is that with a dosage of {x} cubic centimeters (cc) of a certain drug, the resulting blood pressure {B} in millimeters of mercury (mm of Hg), is approximated by → B(x) = 50 + 30500x² -183000x³.

In algebra, a cubic equation in one variable is an equation of the form → [tex]$ax^3+bx^2+cx+d=0[/tex].

The given equation is -

B(x) = 50 + 30500x² -183000x³

For the maximum pressure, we can write -

dB/dx = 0

d/dx (50 + 30500x² - 183000x³) = 0

d/dx (50) + d/dx (30500x²) - d/dx (183000x³) = 0

0 + 61000x - 549000x² = 0

- 549000x² + 61000x = 0

Solving the equation, we get -

x = 0   and   x = 0.1

{x} cannot be 0. So, we can write -

x = 0.1 cc

Therefore, the pressure will be maximum at x = 0.1 cc.

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A field is in the shape of a square. The length of the field is 5x^3y^5. What is the area of the field in terms of x and y? Write the variables in alphabetical order.

How would I go about solving this? I’m completely lost, help would be very much appreciated.

Answers

Final answer:

The area of the square field, given that the length is [tex]5x^3y^5[/tex], is found by squaring the length. The area then becomes [tex]25x^6y^10[/tex].

Explanation:

The field is a square, so all the sides have the same length. Given that the length is [tex]5x^3y^5[/tex], the area of a square equals the length of one side squared. So to find the area of the square, you square the length [tex](5x^3y^5)[/tex] which is [tex](5x^3y^5)^2[/tex]

The formula to square a binomial [tex](a+b)^2[/tex] is a² + 2ab + b². To square [tex](5x^3y^5)^2[/tex], you may square each term separately. 5² = 25, (x³)² = [tex]x^6[/tex] and [tex](y^5)[/tex]² =[tex]y^{10[/tex]. Now, multiply these results together: [tex]25x^6y^10[/tex]. This is the area of the field in terms of x and y, written in alphabetical order.

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Answer:

  25x⁶y¹⁰

Step-by-step explanation:

You want the area of a square that has a side length of 5x³y⁵.

Rules of exponents

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

Area

The area of a square is the square of the side length:

  A = s²

For the given square, the area is ...

  A = (5x³y⁵)² = (5²)(x³)²(y⁵)² = 25(x⁶)(y¹⁰)

The area of the square field is 25x⁶y¹⁰.

__

Additional comment

An exponent signifies repeated multiplication:

  x³ = x·x·x

The square of that will be ...

  (x³)² = (x·x·x)·(x·x·x)

The outside exponent tells you the value inside parentheses is multiplied by itself that many times. An exponent can be used to represent that product: x⁶.

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Ashley is having a party she’ll have 4 tables for every 8 guest complete the table showing the number of tables and guest

Answers

We can write the complete table as -

x {table}           y {guests}

    1                          2

    2                         4

    3                         6

    4                         8

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Ashley is having a party she’ll have 4 tables for every 8 guest.

It is given that -

there are 4 tables for every 8 guest.

then on 1 table there would be (8/4) = 2 guests.

The linear equation guarding the table would be -

y = 2x

We can write the table as -

x {table}           y {guests}

    1                          2

    2                         4

    3                         6

    4                         8

Therefore, we can write the complete table as -

x {table}           y {guests}

    1                          2

    2                         4

    3                         6

    4                         8

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( look at photo) and explain it very simply Ty <3

Answers

The expression equivalent to 9⁻⁵,4⁻⁵ is d. 1/36⁻⁵ from the options given in the stated question.

What is the detailed solution and what are exponents?

The expression 9⁻⁵,4 is equivalent to subtracting 5 from 9 and 4. This can be simplified as 9-5 = 4 and 4-5 = -1.

So, the expression is 4, -1

"d. 1/36⁻⁵" is not equivalent to 4, -1, but it is a mathematical expression that could be evaluated to a number. The 1/36 is the reciprocal of 36, which is a very small decimal value. And when we subtract 5 from that it will be even smaller negative decimal value.

Exponents are a shorthand way of expressing repeated multiplication of the same number. For example, the number "3 to the power of 2" is written as "3²" and means 3 x 3, or 9. The number "2 to the power of 3" is written as "2³" and means 2 x 2 x 2, or 8. The number being multiplied is called the "base" and the exponent is the number of times the base is multiplied by itself. In the example above, 3 is the base and 2 is the exponent in "3²", and 2 is the base and 3 is the exponent in "2³". In general, aᵇ means a multiplied by itself b times.

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PLEASE HELP!!!!!!!
Given the figure below shows regular hexagon ABCDEF, answer the following questions.

Find the measures of the following angles. Show all work and provide all calculations:

m∠AFB = ___________ (Use your measure for m∠A (120°) and what you know about isosceles triangles)

m∠BFE=____________

All work should be shown.

Answers

The measures of the required angles are:

i. m<AFB = 30^o

ii. m<BFE = 90^o

Properties of internal angles of a hexagon.

A polygon is a plane figure on a 2 dimensional plane with a minimum of 3 sides. Thus polygons are named with respect to the number of their sides. Examples include; heptagon, hexagon, decagon, etc.

In the given question, we have;

An isosceles triangle has two the measure of its internal angles to be equal.

So that, given that m<A = 120^o, then

m<AFB = m<ABF  (property of an isosceles triangle)

Let m<AFB be represented by x, so that;

m<AFB + m<ABF + m<A = 180^o   (sum of angle in a triangle)

x + x + 120 = 180

2x = 180 - 120

    = 60

x = 60/ 2

  = 30

x = 30^o

Thus,

m<AFB = m<ABF = 30^o

Also, m<BFE is a right angle.

So that,

m<AFB = 30^o and m<BFE = 90^o

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PLS HELP 70 points Each month, Ellie spends 4 hours in tap class at her dance studio. If each month she spends 20% of her class time in tap class, what is the total number of hours she spends in dance classes each month? Show your work or explain how you found your answer in complete sentences.

Answers

Answer:

She spends 20 hours

Step-by-step explanation:

firstly, divide 4 by 20%

4/20 = 1/5

secondly, multiply 1/5 by 100%

1/5×100 = 20

Therefore, she spends total of 20 hours

Answer:

Ellie spends a total of 20 hours in dance classes.

Step-by-step explanation:

Ellie's total number of hours spent in dance classes is x hours.

According to the question, 20% of x = hours spent dancing.

Therefore, 20/100 * x = 4.

x/5 = 4 x = 20

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