Given mn, find the value of x.
(7x-7)°
(6x+11)°

Given Mn, Find The Value Of X.(7x-7)(6x+11)

Answers

Answer 1

Answer:

x = 18

Step-by-step explanation:

the 2 angles are alternate exterior angles and are congruent, then

7x - 7 = 6x + 11 ( subtract 6x from both sides )

x - 7 = 11 ( add 7 to both sides )

x = 18

Answer 2

Answer:

18

Step-by-step explanation:

(7x-7)° = (6x+11)°------ (alternate exterior angles are equal)

Alternate exterior angles are the pair of angles that are located on the outer side of the parallel lines but on either side of the transversal.

therefore,

7x-7= 6x+11

collect like terms

7x-6x = 11+7

x = 18


Related Questions

Alice weighs 20 dogs and 20 cats. The mean weight for the dogs is 32kg and the mean weight for cats is 4kg. The range in weight for dogs is 45kg and the range in weight for cats is 0.5kg. State two conclusions you can draw from this information.

PLEASE HELP

Answers

Answer:

1. Dogs are generally heavier than the cats.

2. The dogs have a much larger variety in their weights and size than cats.

Step-by-step explanation:

helppp plssss find the perimeter of the polygon all segments that appear to be tangent are tangent to the circle

Answers

answer : 70.6

steps :

I attached a picture

you see 9.6?

it's also 9.6 on the side that is 17.2

if you look at the picture I attached you'll know what I mean

on the side that is 15.7 it's

15.7 - 9.6 =

6.1 on the other part of the side that is 15.7

that means it's

6.1 on a part of the side that doesn't have a measurement

on the side that 17.2 it's

17.2 - 9.6 =

7.6 on the other side

that means it's also

7.6 on the side that's 19.6

19.6 - 7.6 = 12.0 on the side that's 19.6 so it's also

12.0 partly on the uncensored side

on the side that doesn't have a measurement it's

12.0 + 6.1 = 18.1

so

all sides are :

19.6+17.2+15.7+18.1=

70.6 <- which is the answer

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Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer: 8.8

Step-by-step explanation:

Because [tex]\angle S \cong \angle S[/tex] by the reflexive property, we know that [tex]\triangle STU \sim \triangle SQR[/tex] by AA.

So, by the triangle proportionality theorem,

[tex]\frac{x}{5.3}=\frac{11.1}{6.7}\\x=(11.1/6.7)(5.3) \approx \boxed{8.8}[/tex]

Which statements are true about the graph of function f? f(x)=logx

Answers

The true statement about is the graph has a range of {y|-∞ < y < ∞} and decreases as x approaches 0.

What is a logarithm function?

A logarithm function is a type of function that represents the inverse of an exponential function. Mathematically, a logarithmic function is written as [tex]y =log_ax[/tex].

The domain of the given logarithm function f(x) = logx is (x > 0) and its graph wouldn't touch the vertical axis but moves to the right.

Also, the logarithmic function increases as the value of x increases. Thus, this function would decrease when x approaches zero (0).

In conclusion, we can deduce that the range of this function is -∞ < y < ∞.

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Answer:

domain:

c. The graph has a domain of {x|0<x<∞} and approaches 0 as x decreases.

and pretty sure the range is:

b. The graph has a range of {y|-∞<y<∞}and decreases as x approaches 0.

because all real numbers

Step-by-step explanation:

hope this helped

You flip a fair coin 25 times in the air. what is the relative frequency with which the coin will land on tails 12 of those times?

Answers

For the given experiment, the relative frequency of getting tails is:

R = (12/25)*100% =48%

How to get the relative frequency?

If we perform an experiment N times, and out of these N times, K times we get a given outcome (Where K is a number equal to or smaller than N).

The relative frequency of that particular outcome is given by the quotient between the number of times that we got that outcome and the total number of times that the experiment was performed.

In this case, the experiment is performed 25 times, and 12 times we get tails, then the relative frequency for getting tails is:

R = 12/25

If we want to write it in percentage form, then we get:

R = (12/25)*100% =48%

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The odds of an event happening are
What are the odds against the event happening?

Answers

Answer:

The odds of an event happening depend on the situation so it is really difficult to tell what the odds would be.

Step-by-step explanation:

Esperanza buys a new toy for $10.50 plus 4% tax. Then she buys new shoes for $28 plus 6% tax. Enter the sum that Esperanza paid, including tax.'

Answers

Answer:

$40.60

Step-by-step explanation:

10.50+4%=10.92

28+6%=29.68

10.92+29.68=40.60

In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students

Answers

The rate of change of the number of students was 50

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)

[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]

x:20 = 5:x

Calculate the positive value of x

Answers

Answer:

10

Step-by-step explanation:

x/20= 5/x

x²= 100

x=√100

X=±10

x=10

Answer:

x = 10

Step-by-step explanation:

expressing the ratios in fractional form

[tex]\frac{x}{20}[/tex] = [tex]\frac{5}{x}[/tex] ( cross- multiply )

x² = 100 ( take square root of both sides )

x = ± [tex]\sqrt{100}[/tex] = ± 10

the positive solution is x = 10

Can i have some help Please! (Brainliest As Well if it lets me) Pick question 16 or 17 to answer i only have to do one Be specific in your comparisons - think about K (dilation scale factor) and how K changed for circumference versus area. You will need to look up the formula for surface area of a sphere.

Answers

For problem 17, if you double the diameter of the moon, then the surface increases by a factor of 4 and the volume by a factor of 8.

How to compare the change in surface and volume?

Let's answer question 17.

Remember that for a sphere of radius R, the volume is:

[tex]V = (4/3)*pi*R^3[/tex]

And the surface area is:

[tex]S = 4*pi*R^2[/tex]

So the volume depends on the cube of the radius and the surface on the square of the radius.

Now, if we double the diameter of the moon, then we also double the radius.

So the new volume will be:

[tex]V' = (4/3)*pi*(2*R)^3 = 8*[(4/3)*pi*R^3] = 8*V[/tex]

The new volume is 8 times the original volume.

And for the surface:

[tex]S' = 4*pi*(2*R)^2 = 4*[4*pi*R^2] = 4*S[/tex]

So the new surface is 4 times the original surface.

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HELP!!! 100 PNTS+BRANLIEST TO QUICK AND CORRECT ANSWER!!!!!!!!

In the small town of Middleton, there are only two restaurants that serve pizza- a small family owned Italian restaurant and a new franchise pizza restaurant. In a recent review of the franchise, a food critic reported that the pizza was delicious as promised. The only negative review that the franchise received from the critic was in reference to the inaccurate delivery time quoted during the online order process. In response to the article, the franchise owner used a program to analyze the online pizza orders that took place during the week before the review. He chose to track the orders at 6pm each day. He recorded his results in the frequency table below. Use the frequency table to create a box and whisker plot of the On Time data values. In your final answer, include all calculations necessary to create the box and whisker plot. Use the frequency table to create a box and whisker plot of the Late data values. In your final answer, include all calculations necessary to create the box and whisker plot.

Answers

The attached figure represents the box and whisker plots

How to create a box and whisker plot?

To do this, we start by converting the tallies in the frequency table to numerical values.

So, we have:

                Monday      Tuesday      Wednesday     Thursday   Friday

On Time     6                   3                     2                     10             10

Late             1                   0                     3                     4               10

Next, we enter these data on a graphing/statistical calculator to create the box and whisker plots

See attachment

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Find the diameter of a sphere with a surface area of 196π square centimeters

Answers

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ SA=196\pi \end{cases}\implies \begin{array}{llll} 196\pi =4\pi r^2\implies \cfrac{196\pi }{4\pi }=r^2 \implies 49=r^2 \\\\\\ \sqrt{49}=r\implies 7=r~\hfill \underset{diameter}{\stackrel{2(7)}{14}} \end{array}[/tex]

help please ! will give brainle <3

Answers

Answer:

55 percent

Step-by-step explanation:

simply add all the teams you get a 1.00 turned to percent its a 100 percent probability

then simply add the team 6 7 and 8 you get .45 turned into percent is 45 percent

them subtract 100-45 you get 55 percent that a team not from River City will win

(x - 6)². Multiply it and simplify it

Answers

Answer:

x^2-12x+36

Step-by-step explanation:

The first step in solving this equation is to expand the square which makes the equation (x-6)(x-6). Then you distribute the x to both parentheses which leaves you with x^2-6x, and then you distribute the 6 to both parentheses which gives you 6x+36. Then add both binomials which leaves you with x^2-12x+36. The reason it is +36 and not -36 is because you are multiplying a negative 6 by another negative 6.

A section of a deck is shaped like a trapezoid. For this section, the length of one base is 57 feet, and the length of the other base is 52 feet. The height is 18 feet. What is the area of this section of the deck?

Answers

Answer:

Area of section is 981 square feet

Step-by-step explanation:

Given trapezoid with:

Bases 57 feet and 52 feet;Height 18 feet.

To find

Area of trapezoid

Solution

Equation of area:

A = (b₁ + b₂)h/2

Substitute values and calculate:

A = (57 + 52)*18/2 = 109*9 = 981 ft²

Select the correct word to describe the function. the equation y = startfraction 5 x cubed over 8 endfraction represents function. the equation y = 6 + 0.25 ln x represents function. the equation y = startfraction 18 over 1 + 6 e superscript negative 0.25 x baseline endfraction represents function. the equation y = 5x3 + 8 represents function.

Answers

The functions and their descriptions are:

Polynomial: [tex]y = \frac{5x^3}{8}[/tex] and [tex]y = 5x^3 + 8[/tex]Logarithm: [tex]y = 6 + 0.25\ln(x)[/tex]Exponential [tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]

How to describe the functions?

The functions are given as:

[tex]y = \frac{5x^3}{8}[/tex]

[tex]y = 6 + 0.25\ln(x)[/tex]

[tex]y = \frac{18}{1 + 6e^{-0.25x}}[/tex]

[tex]y = 5x^3 + 8[/tex]

The functions would be described based on the type of function they represent.

Functions that use the "ln" keyword are logarithmic functions, while functions that use the "e" keyword are exponential functions.

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Answer:

Select the correct word to describe the function.The equation  represents ✔ a powera logistica logarithmican exponential function.The equation y = 6 + 0.25 ln x represents X a logistica polynomial✔ a logarithmican exponential function.The equation  represents a power✔ a logistica polynomiala logarithmic function.The equation y = 5x3 + 8 represents a powera logistic✔ a polynomialan exponential function.

Step-by-step explanation:

you are so welcome

please help!!!!!!!!!

Answers

no L work I ain’t helping uuuuuo

All the valid statements are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Mr. Hussey prove that the sum of interior angle of triangle is 180 degree.

Now, For all the statements al the correct postulate are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

Thus, All the valid statements are,

⇒ Statement 1; By definition of parallel lines

⇒ Statement 3; Because of alternate interior angle theorem.

⇒ Statement 4; Because it is linear

⇒ Statement 5; because of substitution

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Which of the following statements are true of the hypotenuse of a right triangle?
Its length is the sum of the lengths of the other two sides.
It is one of the legs.
It is the longest side of a right triangle.
It is opposite the right angle.
It forms a right angle with an adjacent side.

Answers

Answer:

It is the longest side of a right triangle.

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

Solve for x:
-(x + 2.1) = -4.8 -0.9(-10x + 5) + 10x

Answers

Answer:

the answer is x=0.36. (-20x=-7.2) divided by -20 equals to x=.36

After deducting 10% provident fund a married person draws Rs 40,500 salary per month and one month's salary as festival bonus, the person pays Rs 14,500 annually as the premium of his/her insurance. Calculate the annual income tax paid by the person.



Need correct answer​

Answers

The  annual income tax paid by the person is: $4,500.

Annual income tax

Using this formula

Annual income tax=[Salary÷(1-percentage deduction)]- Salary

Let plug in the formula

Annual income tax=[40,500÷(1-10%)]-40,500

Annual income tax=45,000-40,500

Annual income tax=4500

Therefore the  annual income tax paid by the person is: $4,500.

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Solve the equation
5x+6=2(2x - 3)
X=

Answers

Answer:

[tex] x = - 12[/tex]

Step-by-step explanation:

[tex]5x + 6 = 2(2x - 3) \\ 5x + 6 = 4x - 6 \\ 5x - 4x = - 6 - 6 \\ x = - 12[/tex]

A debate team consists of five freshmen and four sophomores. (Everyone is distinguishable.) How many ways can they stand in line, so that at least two of the freshmen are standing next to each other

Answers

Using the arrangements formula, it is found that they can stand in the line in 80,640 ways.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, we have that:

The 2 freshmen are in 2! positions, in any of the 8 positions from 1 to 8.The other 7 students are arranged in 7! positions.

Hence the number of ways in which they can be lined up is given by:

N = 2! x 8 x 7! = 80,640.

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2. Which statement is false about the relationship of the sides in the triangle shown in the picture below?

x=3
none of these are false.
x=1
x=7

Answers

Based on the triangle inequality theorem, the that is false about the relationship of the side of the triangle given is: D. x = 7.

What is the Triangle Inequality Theorem?

The triangle inequality theorem holds that the length of any side of a triangle is less than the sum of the length of the sides of the other two sides.

Applying the triangle inequality theorem, it means the following should be true for any value of x given:

x + 2 + x + 3 > 3x - 2

2x + 5 > 3x - 2

Plug in x = 3 to find out:

2(3) + 5 > 3(3) - 2

11 > 4 (True)

Plug in x = 1 to find out:

2(1) + 5 > 3(1) - 2

8 > 2 (True)

Plug in x = 7 to find out:

2(7) + 5 > 3(7) - 2

19 > 19 (FALSE)

Therefore, the false statement is: D. x = 7.

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if the point D (8, -5) is reflected over the x-axis, the coordinates of D’ would be

Answers

The image of the point after the reflection across the x-axis is (8,5)

How to determine the image of the point?

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

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Points X and Y lie on (circle)P so that PX = 5 meters and mXPY = 90. Find the length of XY to the nearest hundredth.
(there is no picture)
answer choices: 15.71 m, 3.93 m, 7.85 m, 19.63 m

Answers

Step-by-step explanation:

all that means is that the radius is 5 meters, and that we are looking for the length of the circle arc that represents 90° of the whole circle (360°).

90/360 = 1/4

so, we need 1/4 of the circle circumference :

2×pi×r × 1/4 = 2×pi×5 × 1/4 = pi×10/4 = pi × 5/2 =

= 7.853981634... m

therefore, the third answer is correct.

Grayson measured a line to be 10.9 inches long. If the actual length of the line is 13.4 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

The percent error of the measurement, to the nearest tenth of a percent is 18.6%

Calculating percent error

The formula for calculating the percent error is expressed as:

%error = actual - measure/actual * 100

Given the following

actual length = 13.4 in

Measured =10.9in

Substitute

%error = 13.4-10.9/13.4 * 100
%error = 2.5/13.4 * 100
%error = 18.65%

Hence the percent error of the measurement, to the nearest tenth of a percent is 18.6%

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GUYSS PLSS I NEED HELP ON ALL OF THEMM PLSSS

Answers

Answer:

acute triangle

Step-by-step explanation:

4 6 7 - Acute scalene triangle, area = 11.98

Select the correct answer from the drop-down menu.
A classroom monitors chicken eggs in various temperatures. The table shows the class's recorded results. Using the data in the table, a conclusion is made by calculating probabilities related to a randomly selected egg.

Cool Room Temperature Warm Total
Hatched 5 16 21 42
Unhatched 18 10 4 32
Total 23 26 25 4
Based on the information, which statement about the eggs is correct?

Given the egg has
hatched
, the egg was kept warmer than room temperature.

Answers

The Eggs had Hatached

find the value of x to the tenths place

Answers

Answer:

x = 15

[x = 15.0]

Step-by-step explanation:

we can find the length of the hypotenuse of a right triangle using the Pythagorean theorem

[note: "c" is what they are referring to as "x" here]

   a² + b²  =   c²

a : 12

b : 9

[c = hypotenuse/x/unknown side]

     12² + 9² = c²

    144 + 81  = c²

           225 = c²

        √225 = √c²

             15 = c

{x = 15.0}

Layna can paint a 350-square foot room in 4 hours. It takes Bebe 7 hours to paint the same room. Which equation can be used to find the time in hours, t, it takes Layna and Bebe to paint the room together?


Rate
(Rooms per Hour)
Time
(Hours)
Fraction Completed
Layna
One-fourth

Bebe
One-seventh

One-fourth t + one-seventh t = 1
One-fourth t times one-seventh t = 1
4 t + 7 t = 1
4 t minus 7 t = 1

Answers

The equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Layna can paint a 350-square-foot room in 4 hours.It takes Bebe 7 hours to paint the same room.

Let t be the total time taken by both to paint.They are completing 1 job so the equation will be :

[tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex]

Further solving it we get;

7 t + 4 t = 28

11t  =  28

t = 2.5 hours.

Therefore the equation can be used to find the time in hours, [tex]\dfrac{t}{4}+\dfrac{t}{7}=1[/tex] and the time will be 2.5 hours. So the correct answer is option A.

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Give me 3 deatils you see in New york Which of the following polynomial functions is graphed below?-70605020-10O A. f(x) = (x + 5)(x 1)2(x+1)B. f(x) = (x - 5)(x-1)(x - 1)OC. f(x) = (x+2)(x-3)(x+4)D. f(x)=(x-2)(x-3)(x-4)-10--20-30--4010 4Which of the following is an example of an energy storage molecule?(1 Point)WaterSaltSugarUranium Question 11 of 22Read the following claim:A flat tax will ensure that all Americans contributes theirfair share, whether they make a little or a lot of income.Which of these would provide the strongest counterclaim?OA. A flat tax means that everyone pays the same percentage, nomatter how much taxable income they earn.OB. Any major change to the tax code, such as instituting a flat tax, willassuredly lead to endless red tape and confusion.OC. Citizens are already taxed too much and, therefore, all taxesshould be eliminated.D. The flat tax is unfairly oppressive to the poor, who spend a largerpercentage of their income on necessities. 4. The author implies that a brick symbolizes a sentence and a brick building symbolizes a composition. Relate the author's comparison to one of the comparisons belowA.seaweed and the seaB.wood carving and woodC.a puzzle piece and a puzzleD. a planet and the solar system Subtract the additive inverse of 5/8 from the multiplicative identity. When delegating a task, it is important to _______. a. give away the most difficult things on your task list b. go over everything quickly and return to your own work c. keep the responsibility for getting the tasks done d. report everything that is expected of the person please select the best answer from the choices provided a b c d Which of the following terms is defined as political information provided under the pretense that it is neutral? A.FramingB. Political socialization C. Covert information D. Overt information If the effective annual yield on a bond is equal to the bonds coupon rate, the bond will have a market value that isSelect one:a. below the principal value of the bond.b. equal to the principal value of the bond.c. Either A or B may be true.d. above the principal value of the bond. .Find the distance between the two points(3, 5) and (4, 6) to the nearest tenth. An electron and a proton have charges of an equal magnitude but opposite sign of 1.60 10-19 C. If the electron and proton in a hydrogen atom are separated by a distance of 2.00 10-11 m, what are the magnitude and direction of the electrostatic force exerted on the electron by the proton 4. Explain two strategies for writing effectively to a reader you don't know. Which expression is equivalent A model train running on an inclined track is part of a closed system that has316 J of mechanical energy. If the kinetic energy of the train decreases from314 J to 250 J, what happens to the gravitational potential energy of thesystem?A. It decreases from 66 J to 2 J.B. It decreases from 316 J to 314 J.SMITOC. It increases from 2 J to 66 J.D. It increases from 316 J-to 564 J. Listen and choose the activity that goes with the description. preparing an itinerary. packing for a trip. getting ready to book a trip. on vacation at the beach Which statement best compares savings accounts and money market accounts?OA. A regular savings account has fewer restrictions on withdrawals than a money market accountbut at a lower interest rate.OB. A regular savings account has fewer restrictions on withdrawals than a money market accountbut at a higher interest rate.C. A money market account has fewer restrictions on withdrawals than a regular savings accountbut at a lower interest rate.OD. A money market account allows for more withdrawals than a regular savings account but at ahigher interest rate. Evolution A) can happen whenever any of the conditions for Hardy-Weinberg equilibrium are not met B) requires the operation of natural selection C) must happen, due to organisms' innate desire to survive D) must happen whenever a population is not well adapted to its environment. Calculate the amount of energy needed to boil away 1.6 L of water that initially has a temperature of 55 C. What is the fundamental difference between covalent and ionic bonding?. Select the correct form of the word in the sentence box. In the appropriate boxes that follow, list the part of speech of the original word and the part of speech to which you have to convert the word so that the sentence makes sense. assign Part of speech: Writing a ten-page report is a time-consuming . New part of speech: