Triangle abc is congruent to triangle a'b'c'. Describe a sequence of rigid motions that takes a to a, b to b', and c to c'

No solution is the answer of inequality.

What is inequality

The relationship between two values in an imbalanced algebraic statement is represented by an inequality in mathematics. One of the two variables can be larger than, more than or equal to, smaller than, or equal to another value by using a sign of inequality.  Make use of the following steps to solve an inequality: Step 1: Remove fractions by multiplying all terms by the fractions' lowest common denominator. Step 2 Combine like terms on both sides of the inequality to simplify. Step 3 Obtain the unknown on one side and the integers on the other by adding or subtracting quantities.

Given Data

[tex]\frac{4}{3}[/tex]g - 3< g + [tex]\frac{2}{3}[/tex] - [tex]\frac{1}{3}[/tex]g

([tex]\frac{4}{3}[/tex]g - g) + [tex]\frac{1}{3}[/tex]g <( [tex]\frac{2}{3}[/tex] + 3)

Taking LCM,

[tex]\frac{4e+3e+1e}{3}[/tex] < [tex]\frac{2+9}{3}[/tex]

8g < 11

g < [tex]\frac{11}{8}[/tex]

No solution is the answer of inequality.

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The rate of change of an edge of the cube is 0.074 m/min.

The rate at which the volume of the cube changes is calculated as follows;

dv/dt = 2 m³/min

where;

The length of edge of the cube will be denoted with a, and it is related to the volume of cube in the following equation.

v = a³

a = v^¹/₃

where;

The change in the edge with volume;

da/dv = 1/3 (1/v)^2/3

The change in edge of the cube with time is given as;

da/dt = da/dv . dv/dt

da/dt = 1/3 (1/v)^2/3    x   2 m³/min

da/dt = 1/3 (1/27)^2/3 /m²     x    2 m³/min

da/dt = 1/27 x 2 m/min

da/dt = 2/27 m/min

da/dt = 0.074 m/min

Thus, the rate at which the edge of the cube changes with time is smaller compared to the volume.

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Answer:

6

Step-by-step explanation:

Let the required input be y.

[tex]h(y)=y-11=-5 \\ \\ y=6[/tex]

Answer:

5 m/s

Step-by-step explanation:

1. 3² + 4² = 25

2. √25 = 5

The probability that the test results are correct, and that this student is not overstressed is mathematically given as

3.08%

This is further explained below.

Generally,

Let A: student is overstressed

B: The test is positive. Given

[tex]P(\bar{B} / \bar{A})=0.95, P(B / A)\\P(\bar{B} / \bar{A}) =0.85, P(A)\\P(\bar{B} / \bar{A})=0.995, \\[/tex]

[tex]P\left(\frac{\text { correctresult }}{\text { Test negative }})=P(\bar{A} / \bar{B}) \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{B})} \\\\ =\frac{P(\bar{A} \cap \bar{B})}{P(\bar{A} \cap \bar{B})+P(A \cap \bar{B})}\right.[/tex]

[tex]=\frac{P(\bar{B} / \bar{A}) P(\bar{A})}{P(\bar{B} / \bar{A}) P(\bar{A})+P(\bar{B} / \bar{A}) P(A)} \\\\=\frac{0.95 \times 0.005}{0.95 \times 0.005+0.15 \times 0.995} \\[/tex]

=0.0308

=3.08%

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You answer is: 28 + 3[tex]x[/tex]

Since $28 is a one-time fee and does not have to be paid again for each and every ride, it does not need a variable in front of.

But for every ride you want, you pay $3 so you need the variable "[tex]x[/tex]" which represents how many times you ride.

For example, if you ride the roller coaster once, your total amount, in dollars, will be:

T = 28 + 3 * (1)

T = $31

But if you ride the roller coaster 3 times, your cost, in dollars, will be:

T = 28 + 3 * (3)

T = 28 + 9

T = $37

Answer:

20

Step-by-step explanation

We need to find the multiples of 10 and 20 (multiples of 10 = 10, 20, 30, 40; multiples of 20 = 20, 40, 60, 80) and choose the smallest multiple that is exactly divisible by 10 and 20, i.e., 20.

Answer:

20

Step-by-step explanation:

First, find the factors of both 10 and 20

Factors of 10: 1, 2, 5, 10

Factors of 20: 1, 2, 4, 5, 10, 20

Notice any common factors?: 1, 2, 5, 10

Now multiply the greatest common factor, 10, with another even number to hopefully get 20: 10*2=20.

Hence, the least common multiple is 20.

15 km of walkway still need to be paved after 4 days. There are still 12 miles of trail to be paved after another 6 days. The average rate of the change is 24.

Given that,

The paving of a bike route by a city. Every day, the same amount of the path is paved. 15 km of walkway still need to be paved after 4 days. There are still 12 miles of trail to be paved after another 6 days.

We have to find the average change rate.

1st we find the slope with the points (4,15) and (6,12).

Slope =[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope=[tex]\frac{12-15}{6-2}[/tex]

Slope=-3/4

Now,

y=mx+b

15=-3/4(4)+b

b=15+3

b=18

We got the equation of line as y=-3/4x+18

Now take y=0

0=-3/4x+18

-3/4x=-18

x=(18×4)/3

x=72/3

x=24

Therefore, the average rate of the change is 24.

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Step-by-step explanation:

did you change the reference number ?

I think the original question was "90 is how many % of 80 ?"

now it is 81.

in % calculations the most important things to identify :

what are 100% (or any other reference % level).

then what is 1%.

and then multiply this 1% by the desired number of % or divide the target number by this 1% to find out how many % the target number is.

in our case here

100% = 81

1% = 100%/100 = 81/100 = 0.81

how many % are 90 ?

well, as many as how often 1% fits into these 90 :

90/0.81 = 111.111111111... %

when the reference was 80, then we had

90/0.8 = 112.5%

Answer:

Step-by-step explanation:

Slope formula: m=[tex]\frac{rise}{run}[/tex] so m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]y_1[/tex]=3

[tex]y_2[/tex]=-1

[tex]x_1[/tex]=0

[tex]x_2[/tex]=5

So the formula is, [tex]\frac{(-1)-3}{5-0}[/tex] = [tex]\frac{-4}{5}[/tex]

Slope is negative.

Slope is -4/5

One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

Therefore, one example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

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The correct question is given below:
A researcher is interested in the sleeping habits of students at the local state college. The average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a ____.

Answer:

x = 13

calculations in the pic hope it helps

Answer is 13

Step by step

1.4 + x / 6 = 2.4

We want to get rid of the 6 first

It is a divide so we want to do the inverse, which is multiply both sides by 6

1.4 + x * 6/ *6 = 2.4 * 6

Combine (the 6/6 becomes 1)

1.4 + x = 14.4

Now we want to isolate the x

Subtract 1.4 from both sides to solve for x

1.4 - 1.4 + x = 14.4 - 1.4

Combine

x = 13

Answer:The time of Trip 2 is

⇒ 0.8 hours.

The distance of Trip 1 is

⇒ 4 km.

The time of Trip 2 is 0.8 hours

The distance of trip 1 is 32 km

Given,

The speed of the bus = 40 km/h

Talia's walked at a speed = 5 km/h

To determine the time,x for her walk here used the equation; 40(0.9 – x) = 5x.

We have to find the time from Talia's home to bank in bus and the distance.

Here,

Equation is already given, we can simplify it and get x which is the time.

40(0.9 – x) = 5x.

36 - 40x = 5x

36 = 40x + 5x

36 = 45x

x = 36/45

x = 0.8 hours = 0.8 x 60 = 48 minutes

Now,

Distance from Talia's home to bank;

Speed = distance/time

Distance = speed x time = 40 x 0.8 = 32 km

That is,

The time of Trip 2 is 0.8 hours

The distance of trip 1 is 32 km

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Answer:

gradient= y2-y1/x2-x1

-8+10/-8-c=-1/8

2/-8-c=-1/8

-1(-8-c)=8(2)

8+c=16

c=16-8

c=8

The container's strawberry lemonade that had a stronger strawberry flavor is the more compact bottle and has a more robust taste.

This is further explained below.

Generally,  in a bid to understand the context of the scenario we must first write the rato of the flavor's relationship

x=8:40

y=5:20

Therefore

x=8:40

y=10:40

In conclusion, This helps us decipher that Larger container: We add eight ounces of strawberry puree for every forty ounces of lemonade that we make.

We have 10 ounces of strawberry puree for every 40 ounces of lemonade that we have.

Therefore, the more compact bottle has a more robust taste.

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Answer:

x=y/m-a

Step-by-step explanation:

y=(x+a)m

Divide m on both sides

y/m=x+a

Subtract a on both sides

y/m-a=x

Answer:

Since the moon has no atmosphere, all wavelengths of sunlight reach the ground by traveling straight through space. Our sun appears white because it produces all visible wavelengths approximately equally. The sun will appear the same size whether viewed from Earth or the Moon since Earth and the moon are relatively close to the sun. The sun and moon both have an apparent size of one-half of a degree when viewed from Earth.

Step-by-step explanation:

Each gets [tex]\frac{1}{4}[/tex] pieces of toast.

A number that is stated mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line. It details the number of equal portions that were taken from the total or collection. The denominator is the figure that appears below the line.

Given Data

LeeAnn is taking care of her 3 brothers. She has four pieces of toast and wants to divide them equally among her brothers.

So,

Total pieces of toast = 4

Each gets = 1

Fraction of toast each gets = [tex]\frac{1}{4}[/tex]

Each gets [tex]\frac{1}{4}[/tex] pieces of toast.

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Answer:

coordinates (-4,6)

Answer:

C the answer is v

Step-by-step explanation:

if this wrong mark this as brainliest

The solution of the equation is m = 6.

The variable to find is variable m.

The equation is as follows:

−3(m − 4) = − 6

Hence, let's open the bracket on the left side of the equation

−3(m − 4) = − 6

- 3m + 12 = -6

subtract 12 from both sides of the equation

- 3m + 12 = -6

- 3m + 12 - 12 = -6 - 12

- 3m = - 18

divide both sides of the equation by -3

- 3m / - 3 = - 18 / -3

Therefore,

m = 6

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Answer:

Step-by-step explanation:

Find the value of m: −3(m − 4) = −6

m = −6

m = −2

m = 2

m = 6

-3(m - 4) = -6

-3m + 12 = -6

-3m = -6 - 12

- 3m = -18

m = -18 : (-3)

m = 6

-----------------------------

-3(6 - 4) = -6

-18 + 12 = -6

-6 = -6

The percent by which the value of Ken's bike depreciated over the past year is 20%.

Depreciation is the decline in the value of an asset with the passage of time. Depreciation is as a result of wear and tear of an asset. The price of an item would decline when it depreciates.

Percentage is the fraction of an amount that is expressed as a number out of hundred. Percentage is used to measure the frequency of data. The sign that represents percentage is %. To convert a number to percentage, multiply the number by 100.

Percent depreciation = (value of the mountain bike today / value of the mountain bike last year) - 1

($320 / $400) - 1 = -0.20

0.20 x 100 = 20%

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Trip of 45miles with seven gallons of gas in a car and car gets 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.

As given in the question,

Total distance covered in family trip is 45 miles

Total fuel in car is seven gallons

Average of the on trip=22 miles per gallon

Estimate fuel supply for trip =(45 miles )/(22 miles per gallon)

                                               =2.04545gallons

                                               ≈2gallons(approximately)

As the fuel used in the trip is 2.04545.. gallons which is nearest to the 2 gallons, it is okay to estimate the fuel supply.

Therefore, trip of 45 miles with 7gallons of gas in a car with average 22 miles per gallon ,estimate fuel supply for trip is 2 gallons.

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Answer:

7.821 or 7821/1000

Step-by-step explanation:

Answer:

7.821

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is assumed you are looking for the value of x.

According the diagram, we have:

Property of exterior angle - it is same as the sum of remote interior angles.

Set equation:

It is easy to calculate the unknown angle measures if needed:

After solving the equation 4/9+9/18, we have to come to find the solution is 1.57.

An equation can be defined in a number of different ways. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.

In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." There are one or more variables in even the most fundamental and straightforward algebraic equations.

The value of the variable that makes the equation a true statement is the solution of the equation.

We have been asked to solve the equation 4/9 + 9/8

Lets solve

⇒ 4/9 + 9/8

⇒ (32+81)72               (finding the LCM of denominators and multiplying with  

⇒ (32+81)72                                                                                     numerators)

⇒ 113/72

⇒  [tex]1\frac{41}{72}[/tex]

⇒ 1.57

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Answer:

x=45

Step-by-step explanation:

20-.24=9.2

Answer:

Add the expressions.

11x2−3x−3

Step-by-step explanation:

Simplification of polynomials.

Polynomials are mathematical expressions made up of many terms.To simplify a polynomial the most, you must collect all like terms and rearrange them from highest to lowest power.

Answer:

8 + 2(x + 3) = 2x + 14

Would be infinitely many solutions.

Step-by-step explanation:

8 + 2x + 6 = 2x + 14

2x + 14 = 2x + 14

0 = 0; True

All real numbers