Find the value of x that would make mlin.
m
(2x + 36)
4x
n
X=

Find The Value Of X That Would Make Mlin.m(2x + 36)4xnX=

Answers

Answer 1

∠( 2x + 36 ) and ∠4x are interior angles on the same side of transversal, which means their sum will add up to 180° .

Which means :-

[tex] = 2x + 36 + 4x = 180[/tex]

[tex] = 6x + 36 = 180[/tex]

[tex] = 6x = 180 - 36[/tex]

[tex] = 6x = 144[/tex]

[tex] = x = \frac{144}{6} [/tex]

[tex]\hookrightarrow\color{hotpink} x = \color{hotpink}24[/tex]

To find whether or not we have found out the correct value of x, let us place 24 in the place of x :-

[tex] = 2x + 36[/tex]

[tex] = 2 \times 24 + 36[/tex]

[tex] = 48 + 36[/tex]

[tex]\color{olive}∠(2x + 36) =\color{hotpink} 84°[/tex]

Then :-

[tex] = 4x[/tex]

[tex] = 4 \times 24[/tex]

[tex]\color{olive}∠4x =\color{hotpink} 96°[/tex]

As , the sum of both these angles are adding upto 180° (84+96=180) , we can conclude that we have found out the correct value of x .

Therefore, the value of :-

[tex]\boxed{\color{olive}x \: \:\bold{\color{hotpink} = 24}}[/tex]


Related Questions

A(n) _____________________ is a person who learns a skilled trade from a master craftsperson. a. Novice c. Starter b. New Hire d. Apprentice

Answers

Answer:

i love myself

Step-by-step explanation:

Find the equation of the line whose graph passes through (5,3 ) and has slope 1 / 4.

Answers

Answer: y = 1/4x + 1.25 ?? OR y = -4x + 23

Step-by-step explanation:

y = mx + c

3 = 1/4 (5) + c

3 = 1.25 + c

-1.25 from both sides  

c = 1.75

y = 1/4x + 1.75

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

perpendicular gradient = -4

y = -4x + c

3 = -4(5) + c

3 = -20 + c

+20 to both sides

c = 23

y = -4x + 23

Please help❤️ Write an equation for the line through the points (9,5) and (6, 7) in point-slope form
y = y0 + m(x - x0).
y =_ + _

Answers

Answer:

y = 5 -2/3 ( x-9)

Step-by-step explanation:

point slope form

y = y0 + m(x - x0).

m is the slope

m = (y2-y1)/(x2-x1)

     ( 7-5)/(6-9)

   2/-3

 =-2/3

The slope is -2/3

Using the point (9,5)

y = 5 -2/3 ( x-9)

Answer:

[tex]y=5-\frac{2}{3}(x-9)[/tex]

Step-by-step explanation:

We are given that the line passes through the two points (9, 5) and (6, 7).

And we want to find the equation of the line in point-slope form:

[tex]y=y_0=m(x-x_0)[/tex]

First, let's find the slope. The slope is given by the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let's let (9, 5) be (x₁, y₁) and let (6, 7) be (x₂, y₂). Substitute these values into the slope formula:

[tex]m=\frac{7-5}{6-9}[/tex]

Subtract:

[tex]m=2/-3[/tex]

Simplify:

[tex]m=-2/3[/tex]

So, our slope is -2/3.

Note, we can use the point-slope form. Notice that we also need an (x₀, y₀).

We can use either of our two known points. So, let's let (9, 5) be (x₀, y₀).

Substitute 9 for x₀, 5 for y₀, and -2/3 for m yields:

[tex]y=5-\frac{2}{3}(x-9)[/tex]

And we're done!

Please help with this question.

Answers

I don’t know the answer but i wish you the best of luck!

PLEASE HELP ASAP!!

There are 800 students who attend Park Middle School. There are 1.5 times as many boys as there are girls. Set up the system of equations needed to solve this problem.
x is boys
y is girls
800=1.5x=y

Answers

Answer (the system of equations input doesn't work, so there is no brace):

x = 1.5y

x + y =800

Step-by-step explanation:

First, identify the vital information:

- 800 total students

- 1.5 times as many boys as girls

So, if x = number of boys and y = number of girls, we can agree that:

x = 1.5y

And because there are 800 kids in total, we can agree that:

x + y = 800

There are 320 girls and 480 boys. (see below)

Since you have the value of x, 1.5y, you can plug-in the value:

x + y = 800

1.5 + y = 800

2.5y = 800

y = 320 girls

Plug-in the y-value into the equation for the number of boys:

x = 1.5y

x = 1.5(320)

x = 480 boys

To double-check:

320 + 480 = 800 ☺

need help fast ............ 1/7

Answers

Answer:

wheres the question

Step-by-step explanation:

Answer:

1 /7 is .1428571429

Good Luck!!!

-1/5(?x+15)=2x-3 find ?

Answers

Let's call it [tex]k[/tex].

We have,

[tex]-\frac{1}{5}(kx+15)=2x-3[/tex]

[tex]kx+15=-10x+15[/tex]

[tex]\boxed{k=-10}[/tex]

Hope this helps.

a) You have a piece of string that is 36m long. find the areas of all the shapes you can make which have a perimeter of 36m. b) A piece of land has an area of 100m². How many meters of wire fencing is needed to enclose it?​

Answers

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

What are the areas of all the shapes you can make which have a perimeter of 36m?

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

Learn more on perimeter and area of rectangle and square here;

https://brainly.com/question/25292087

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Suppose we express the amount of land under cultivation as the product of four factors:
Land = (land/food) x (food/kcal) x (kcal/person) x (population)

The annual growth rates for each factor are:
1. the land required to grow a unit of food, -1% (due to greater productivity per unit of land)
2. the amount of food grown per calorie of food eaten by a human, +0.5%
3. per capita calorie consumption, +0.1%
4. the size of the population, +1.5%.

Required:
At these rates, how long would it take to double the amount of cultivated land needed? At that time, how much less land would be required to grow a unit of food?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following annual growth rates:

land/food = - 1%

food/kcal = 0.5%

kcal/person = 0.1%

population = 1.5%

Σ annual growth rates = (-1 + 0.5 + 0.1 + 1.5)% = 1.1% = 0.011

Exponential growth in Land :

L = Lo * e^(rt)

Where Lo = Initial ; L = increase after t years ; r = growth rate

Time for amount of cultivated land to double

L = 2 * initial

L = 2Lo

2Lo = Lo * e^(rt)

2 = e^(0.011t)

Take the In of both sides

In(2) = 0.011t

0.6931471 = 0.011t

t = 0.6931471 / 0.011

t = 63.01 years

Land per unit of food at t = 63.01 years

L = Fo * e^(rt)

r = growth rate of land required to grow a unit of food = 1% = 0.01

L/Fo = e^(-0.01* 63.01)

L/Fo = e^(−0.6301)

= 0.5325385 = 0.53253 * 100% = 53.25%

Land per unit now takes (100% - 53.25%) = 46.75%

find the Square root of √39-2x = 5

Answers

Has to be correct. I did it on paper and checked it. Then I checked it with a calculator

PLEASE HELP FAST, FINAL IS TODAY!!‼️WILL GIVE BRAINLIEST

Answers

Answer:

c. Angle- Angle Similarity theorem

Find the measure of each angle indicated:
?
959

Answers

Answer:

wdd

Step-by-step explanation:

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Answer:

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vv

Step-by-step explanation:

Find the domain:

y= [tex]\frac{6+9x}{6-x-1\\}[/tex]

Answers

Answer:

x= - 0.6

Step-by-step explanation:

n - 14 = 20. Solve for n
Please explain

Answers

Answer: 34

Step-by-step explanation: you would have to add 14 to the other side. In math you have to do the opposite to cancel out sides. So to cancel -14 you would have to add 14 to -14 (making it zero) and 20 (making it 34)

Im bad at explaining but I hope you now kindof get it

Answer:

N = 6

Step-by-step explanation:

1.) 1n - 14 = 20

Instead of just having "n" put a 1 in front of it just to help

Subtract 14 on both sides

2.) 1n = 6

divide 1 on both sides

3.) N = 6

Best of luck

You lose three points each time you answer a question incorrectly in a trivia game. If you answer eight questions in a row incorrectly , what is the change in your score ?

Answers

Answer:

The change should be -24 points

(1.2 times 10^9)+(7.6 times 10^8) in scientific nota

Answers

Answer:

1.96x10₉

Step-by-step explanation:

Answer:

1.96 * 10^9 (1,960,000,000)

Step-by-step explanation:

This is basically 1,200,000,000 + 760,000,000

PLEASE HELP WILL GIVE BRANLIEST AND 50 POINTS

Answers

Answer:

it is 1-2 the second one

explanation:

give me brainiest i answered it

What is the rate of change of the following equation?
y = 4x - 3

Answers

Answer:

Step-by-step explanation:

answer is x=1/4y+3/4

Simplifying the answer

Answers

Answer:

Coin a is 33 and coin b is 11

Step-by-step explanation:

Answer:

B = 11

A =33

Step-by-step explanation:

A = 3B

A+B = 44

Substitute the first equation into the second equation

3B + B = 44

Combine like terms

4B = 44

Divide by 4

4B /4 = 44/4

B = 11

A = 3B

A = 3*11

A =33

-7 times what equals 2? i’ll give brainliest

Answers

Answer:-3.5

Step-by-step explanation:

select all values equal to 2/7


[tex] \frac{ - 2}{7} [/tex]
[tex] - \frac{ - 2}{ - 7} [/tex]
[tex] - \frac{2}{ - 7} [/tex]
[tex] \frac{2}{ - 7} [/tex]

Answers

Answer:

Step-by-step explanation:

Option 3 is the correct answer

Simplify.
Remove all perfect squares from inside the square root.
✓112a^6

Answers

Answer:

[tex]4\sqrt{7}a^3[/tex]

Step-by-step explanation:

[tex]\sqrt{112a^6} \\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}\\\\=\sqrt{112}\sqrt{a^6}\\\\=4\sqrt{7}\sqrt{a^6}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{bc}=\left(a^b\right)^c\\\\a^6=a^{3\times\:2}=\left(a^3\right)^2\\\\=4\sqrt{7}\sqrt{\left(a^3\right)^2}\\\\\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^n}=a\\\\\sqrt{\left(a^3\right)^2}=a^3\\\\=4\sqrt{7}a^3[/tex]

A coat and a pair of boots are on sale for 20% off. The regular price of the coat is $215. The regular price of the boots is $120.

What is the sale price of the coat? Explain.


Jesse wants to buy both the coat and the boots. How much will she pay if she buys them during the sale?

Answers

Answer:

268

cause 20 % off of each then added = 268

A contractor bought 6.4 ft? of sheet metal. He has used 4.9 ft? so far and has $45 worth of sheet
metal remaining. The equation 6.4x - 4.9x = 45 represents how much sheet metal is remaining and
the cost of the remaining amount. How much does sheet metal cost per square foot?
Sheet metal costs $
per square foot.

Answers

Answer:

1.5 ft remaining

$30 per ft of sheet

Sheet metal costs $30 per square foot.

Step-by-step explanation:

6.4x - 4.9x = 45

           1.5x = 45

                x = 30

6.4 - 4.9 = 1.5 ft remaining

$45 : 1.5 = $30 per ft of sheet

3/5+-1/3 plz help me

Answers

Answer:

4/8

Step-by-step explanation:

You add 3 and 1 thats 4 then you add 5 and 3 and thats 8

please mark brainliest

Answer:

4/8

Step-by-step explanation:

pretty sure because I'm pretty sure that's the correct answer

Part B: Harry also does part-time yard work. The ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10. Create a table to show the money earned by Harry for 5, 6, and 8 hours of work in the yard. (3 points)

Answers

Answer:

I think you multiply because it is asking you how much money he earns in 5 hour, 6 hour and 8 hours .It also said that he gets paid $1 and 10 cent each hour.

Step-by-step explanation:

1.10 * 5=5.5

1.10 * 6=6.6

1.10 * 8=8.8

So, he earns $8.8

Sorry it doesn't let me make a table but use the equation

As per linear equation, the amount of money Harry will earn by working 5, 6, and hours are $50, $60, and $80, respectively.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."

Given, the ratio of the number of hours Harry works in the yard to the money he earns in dollars is 1:10.

Let, Harry works for x hours.

Then the money he will earn is $10x.

Work(in hours)                Earned money (in dollars)

         5                                                 50

         6                                                 60

         8                                                 80

Learn more about a linear equation here: https://brainly.com/question/16675906

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What can you tell about the mean of each distribution?Plz hurry

Answers

Answer:

The average cost of a dog's annual visit is about $76.10 more......

Step-by-step explanation:

Mean is the average of a dataset.

The question gives you the mean (average) of the cost of a dog's annual visit. As you can see at A New Leash of Life, the mean (average) is $300.75, whereas at No Ruff Stuff, the mean (average) is $224.65.

Since the question is only asking for a statement that matches the info above, the only option that matches is the first option.

Answer:

First one!!!

hope it help you

, or =. 4.5 ___ 4.05

Answers

Answer:

4.5 > 4.05

Step-by-step explanation:

Simplifying then comparing both terms  4.5  and  4.05 ,  4.5  is greater than  4.05 , which means that the first term is greater than the second term.

Answer:

4.5 > 4.05

Step-by-step explanation:

This is the answer because:

1) 4.5 means 4 and 5 tenths

2) 4.05 means 4 and 5 hundredths

3) We know tenths is greater than hundredths in decimal numbers

Therefore, the answer is 4.5 > 4.05

Hope this helps! :D

Solve the equation x^3-13x^2+47x-35=0 given that 1 is a zero of f(x)= x^3-13x^2+47x-35.


The solution set is_______



I WILL GIVE YOU BRAINEST IF YOU ANSWER CORRECTLY

Answers

Answer: x = {1 , 5 , 7}

Step-by-step explanation:

We have x^3 - 13x^2 + 47x - 35 = 0.

Taking -13x^2, we can split it up into -x^2 - 12x^2

Taking 47x, we can split it up into 12x + 35x

Putting these into the original equation, we have:

x^3 - x^2 - 12x^2 + 12x + 35x - 35 = 0

From this you can see that we have 3 pairs of terms that we can easily factor. From the first pair we can factor x^2, from the second we can factor -12x, and from the third one we can factor 35.

1. (x^3 - x^2)  = x^2 (x - 1)

2. (- 12x^2 + 12x) = -12x (x - 1)

3. (35x - 35) = 35 (x - 1)

Putting them back into the equation we have:

x^2 (x - 1) - 12x (x - 1) + 35 (x - 1) = 0

               (x^2 - 12x + 35) (x - 1) = 0

To find the roots, we can set (x - 1) = 0 and  (x^2 - 12x + 35) = 0.

x - 1 = 0

    x = 1 (First root)

x^2 - 12x + 35 = 0

Factoring using the Sum-Product Rule:

Sum of -12, Product of 35 --> -7 and -5

x^2 - 12x + 35 = 0

  (x - 7) (x - 5) = 0

We can see that x = 7 and x = 5.

So the solution set it x = {1 , 5 , 7}

The solution set will be {1,5,7}

What is zero of a function?

Zero of a function is the root of the function for which the function value of that root will be zero.

If a is the zero of function f(x)=0 then f(a)=0.

So according to question,

the equation is

x³-13x²+47x-35=0

spilting -13x² as -x²-12x² and 47x as 12x+35x

⇒x³-x²-12x²+12x+35x-35=0

⇒x²(x-1)-12x(x-1)+35(x-1)=0

taking (x-1) common from each term

⇒(x-1)(x²-12x+35)=0

In another way, as 1 is zero of x³-13x²+47x-35=0

then (x-1) is one factor of x³-13x²+47x-35=0

another factor will be x³-13x²+47x-35/(x-1)=x²-12x+35

for which we can write the equation x³-13x²+47x-35=(x-1)(x²-12x+35).

⇒(x-1)(x²-5x-7x-35)=0

⇒(x-1)(x(x-5)-7(x-5))=0

⇒(x-1)(x-5)(x-7)=0

⇒x-1=0  or  x-5=0  or  x-7=0

⇒x=1   or   x=5   or   x=7

Therefore The solution set will be {1,5,7}

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Solve the equation. X^5-5x^3+4x=0

Answers

Answer:

Wait

Step-by-step explanation:

Is a equation or polynomial

Answer:

0, +/- 1. +/- 2

Step-by-step explanation:

[tex]x^{5} -5x^{3} +4x=0[/tex] Write the equation in the form of P(x) = 0.

[tex]x(x^{4} - 5x^{2} + 4) = 0[/tex] Factor out the GCF, x.

[tex]x(x^{2})^{2} - 5x^{2} + 4 = 0[/tex] Factor [tex](x^{2})^{2}- 5x^{2} + 4 = 0[/tex].

[tex]x = 0,[/tex] [tex](x^{2})^{2} - 5x^{2} + 4 = 0[/tex] Let a = [tex]x^{2}[/tex] and substitute.

[tex]a^{2} - 5a + 4 = 0[/tex] Factor.

[tex](a - 4)(a - 1) = 0[/tex] Replace a with [tex]x^{2}[/tex].

[tex](x^{2} - 4)(x^{2} -1) = 0[/tex] Factor [tex](x^{2} - 4)[/tex] as a difference of squares.

[tex](x -2)(x+2)(x^{2} -1) = 0[/tex] Use the Zero Product Property

[tex]x = 2, x = -2, x^{2} = -1[/tex]

[tex]x = 0, 1, -1, 2, -2[/tex]

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