Given m|n, find the value of x.
(8x-20)
(8x+8)

Given M|n, Find The Value Of X.(8x-20)(8x+8)

Answers

Answer 1

Answer:

x=12

Step-by-step explanation:

(8x-20)+(8x+8)=180

16x-12=180

16x=180+12

16x=192

x=12

Answer 2

Answer:

x = 12

Step-by-step explanation:

The given angles are supplementary. Therefore, they have a sum of 180°.

8x - 20 + 8x + 8 = 180

16x - 12 = 180

16x = 192

x = 12


Related Questions

simplify square root of 3/8

please give steps!!

Answers

Step-by-step explanation:

Write the expression

[tex] \sqrt{ \frac{3}{8} } [/tex]

Let make the denominator a perfect square that is a multiple of 8. 16 is a multiple of 8 and a perfect square so

[tex] \sqrt{ \frac{3}{8} } = \sqrt{ \frac{6}{16} } [/tex]

Know that

[tex] \sqrt{ \frac{x}{y} } = \frac{ \sqrt{x} }{ \sqrt{y} } [/tex]

So

[tex] \sqrt{ \frac{6}{16} } = \frac{ \sqrt{6} }{4} [/tex]

The simplified form of the square root of 3/8 is (√6) / 4.

To simplify the square root of 3/8, we can simplify the numerator and denominator separately.

For the numerator, we take the square root of 3:

√3

For the denominator, we take the square root of 8:

√8

Now, let's simplify each of them:

√3 cannot be simplified further because 3 is a prime number.

√8 can be simplified by factoring out the perfect square:

√8 = √(4 × 2)

Since 4 is a perfect square (2² = 4), we can take it out of the square root:

√8 = 2√2

Now, let's put the simplified numerator and denominator together:

√3/8 = √3 / (2√2)

To rationalize the denominator, we multiply the expression by the conjugate of the denominator:

(√3 / (2√2)) × (√2 / √2) = (√3√2) / (2√2√2)

Simplifying the denominator:

(√3√2) / (2√4) = (√6) / (2 × 2)

Simplifying further:

(√6) / (2×2) = (√6) / 4

Therefore, the simplified form of the square root of 3/8 is (√6) / 4.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

Noel can stack 4 blocks in 2 seconds. At this rate, how many blocks can he stack in one minute?

Answers

Answer:

120

Step-by-step explanation:

There are 60 seconds in one minute so you would 4 times 30 since Noel can STACK 4 BLOCKS per 2 seconds.

6. Find the sum of whole number divisible by 3 and lies between 100 and 200.​

Answers

Answer:

4950

Step-by-step explanation:

first find the smallest multiple of 3 thats >100, 3*33=99, so 3*34=102 is the smallest multiple of 3 >100.

next find the greatest multiple of 3 <200, 3*66=198 which is the greatest multiple of 3<200

34-66+1=number of terms=33. then find the average of the terms: 102+198/2=150. 150*33=4950. the answer should be 4950

Answer:

Step-by-step explanation:

The first number in the sequence = 102

The last number = 198

The number of terms =

L = a1 + (n-1)*d

198 = 102 + (n- 1)*3                   Subtract 102

198 - 102 = (n - 1)* 3

96 = (n - 1)*3                             divide by 3

32 = n - 1                                   add 1

33 = n

Sum = (a1 + L ) * n/2

sum = (102+198)*33/2

sum = 300 * 33/2

sum = 150 * 33

sum = 4950

Select two ratios that are equivalent to 7:107:107, colon, 10.

Answers

107: 107 are equivalent ratios

Answer:

107:107

Step-by-step explanation:

107:107 are the equivalent ratios as both numbers are same.

Tavon has a gift card for $65 that loses $3 for each 30-day period it is not used. He has another gift card for $55 that loses $2.50 for each 30-day period it is not
used
a. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.
b. What will the value of each card be when they have equal value?
a. If x is the number of 30-day periods, then the equation can be used to find the number of 30-day periods until the values of the gift cards will be equal.
(Type an equation. Use integers or decimals for any numbers in the equation)

Answers

Answer:

a. 65 - 3 x = 55 - 2.5 x

ab. 20

b. 5

Step-by-step explanation:

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equalvalue, will be $10.

What is a linear equation?

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Let x be the number of days and y be the value of the card.

Tavon has a gift card for $110 that loses $2.50 for each​ 30-day period it is not used. He has another gift card for $90 that loses $2 for each​ 30-day period it is not used. Then the equations will be

y = 110 - 2.5x    ...1

y = 90 - 2x       ...2

From equations 1 and 2, we have

110 - 2.5x = 90 - 2x

20 = 0.5x

x = 40

And the value of y will be

y = 110 - 2.5(40)

y = 110 - 100

y = $10

The equations are y = 110 - 2.5x and y = 90 - 2x. Then the value of each card, when they have equal​ value, will be $10.

More about the linear equation link is given below.

brainly.com/question/11897796

#SPJ2

Which number is irrational?

Answers

Answer:

11 is the irrational number

Explanation:

Irrational numbers are which numbers that can't be expressed as p/q form that are irrational numbers. root 11 cant be expressed as p/q form so, this is an irrational number.

25.5 divided by 1.25

Answers

Answer:

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

I have no explanation for this but hope this helps

Please solve its due tomorrow

Answers

Answer:

8. 16,648

9. 1,394

10. 3

11. 9,570

Step-by-step explanation:

8. Total means all together so you need to add all of the attendants together.

2118 + 3391 + 4785 + 6354 = 16,648

9. How many more signifies the need to use subtraction to get your answer so you need to subtract the number of attendants in 2011(3,391) from the number of attendants in 2012(4,785)

4,785 - 3,391 = 1,394

10. How many times more signifies the need to use division in order to get the answer since it is the opposite of multiplication. So, you need to divide the number of attendants in 2010(2,118) from the number of attendants in 2013(6,354)

6,354 / 2,118 = 3

11. Twice the attendance signifies the need to use multiplication to find your answer so you need to multiply the number of attendants in 2012(4,785) twice(2).

4,785 x 2 = 9,570

Hope this helped! <3

Pedro is helping refill ketchup bottles at his uncle's diner. He has a huge container with 2
gallons of ketchup, which he distributes evenly among 15 bottles.
How much ketchup goes in each bottle?
Write your answer as a proper fraction or miye
mbar

Answers

Answer:

estuvo muy Bien jwjejehebqkwjshhshshshhebwwhwbhwhwuwjwywgegevwhwvwgww

Answer:

Naosei

Step-by-step explanation:

pls pls help!!!!!!!!!!

Answers

9514 1404 393

Answer:

  5

Step-by-step explanation:

Let f represent the number of friends. Their total earnings are ...

  21f = 105

  f = 105/21 = 5 . . . . . divide by the coefficient of f

There are 5 friends in the group.

Can a polyhedron have 10 faces, 14 vertices and 20 edges

Answers

Answer:

nope

Step-by-step explanation:

Since the Euler's formula does not hold true for the given number of faces, edges and vertices, therefore, there does not exist any polyhedron with 10 faces, 20 edges and 15 vertices.

If m ABC=122 and m ABD=71 then m DBC =

Answers

Answer:

Angle DBC = 51

Step-by-step explanation:

Angle ABC = angle ABD + angle DBC

We are given that angle ABC = 122 and angle ABD = 71

So 122 = 71 + angle DBC

* Solve for angle DBC *

Subtract 71 from both sides

122 - 71 = 71 - 71 + angle DBC

51 = angle DBC

Answer:

m∠DBC = 51°

Step-by-step explanation:

m∠ABC = 122°

m∠ABD = 71°

m∠DBC = m∠ABC - m∠ABD

m∠DBC = 51°

Write a simplified expression, in terms of y, for both area and perimeter of the triangle below

Answers

Answer:

Area: [tex]27y^{3} -24y^{2}[/tex]

Perimeter: [tex]6y^{2} +7y+5[/tex]

Step-by-step explanation:

Area:

[tex]\frac{1}{2}[/tex] x base x height

[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]

Perimeter:

[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]

Please help me make you show how to solve it please

Answers

Answer:

4 (-1 - 2(2)) + 3(-1(2)

4(-1 -4) + -6

4 (-3) + -6

-12 + -6

-18

Step-by-step explanation:

you replace the x with -1 and y with 2

for the food described, find what percent of total calories is from fat. if necessary round to the nearest tenth of a percent
*calories: 120
* calories from fat: 45

Answers

Answer:

37.5%
Explanation:

0.375

The percentage of 45 out of 120 is 38%  thus 38% calories from fat.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Given that,

Total calories = 120

Calories from fat = 45

Fraction of calories from fat = 45/120 = 0.38

Percentage of calories from fat out of total calories ⇒

(45/120) × 100 = 38%

Hence "The percentage of 45 out of 120 is 38%  thus 38% calories from fat".

For more about the percentage,

brainly.com/question/13450942

#SPJ5

Which of the following is a basic equation?

A.b + 3 = 5
B.O (2, 3)
C .O y-axis
D .3+6

Answers

Answer:

A. b + 3 = 5

 [tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. q^2+7q

Answers

The square to make a perfect square trinomial as a binomial squared is

(q + 7/2q)² - 49/4.

We have been given that the expression -

q² + 7q.

We have to complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.

We know that a perfect square trinomial is in form .

a² + 2ab + b².

To convert our given expression into perfect square trinomial, we need to add and subtract (b/2)² from our given expression.

We can see that value of b is 7, so we need to add and subtract (7/2)²  to our expression as:

To complete the square, we will add the square of the half of the coefficient of q to the equation

Coefficient of q = 7

Half of the coefficient = 7/2

Square of the result = (7/2)² = 49/4

Adding 49/4 to the equation will make it a perfect square to have

Upon comparing our expression with , we can see that ,

(a + b)² = a² + 2ab + b²

now we can get

q² + 7q + 49/4 - 49/4

(q + 7/2q)² - 49/4

Therefore, our perfect square would be (q + 7/2q)² - 49/4 .

To learn more about Perfact square

https://brainly.com/question/27307830

#SPJ1

Which graph represents this equation?
y =
-*12 + 2x - 2

Answers

Answer:

I may be wrong but I'm pretty sure that it is -12

Step-by-step explanation:

2×-2=0 -12+0=-12

What is the quotient of the following division problem?
58/8=

Answers

Answer:

7.25 or 7 ¼ or 56 R2

Step-by-step explanation:

Answer:

In Calculator, Quotient is 7.25

                   0      7  

   8 ⟌ 5 8  

     - 0    

       5 8  

     - 5 6  

         2  

But when we do long division the quotient is 7 and remainder is 2.

Hope it helps!

Don't forget to mark me brainiest if you got it correct.

11) There are 32 students in a closs. Nine of those students are
women. What percent ere mena (round to the nearest tenth)

Answers

I’m assuming you mean what percent are men.

So based off that, you would subtract the 9 women from the 32 total students. That would result in 23 students that are men.

Now to find that percent, take the 23 men and divide it by the total students- 32. So 23/32. And that would be 0.71875. But rounded to the nearest tenth is 0.7.

Final answer: 70% of the class is men.

A savings account with $1,000 has no other
deposits or withdrawals made. The account earns
2.5% annual interest t years after the $1,000 was
deposited. The function f(t) = 1,000(1.025)* can
be used to represent the balance, in dollars, in
the savings account.
Which amount is closest to f(5), the balance, in
dollars, in the account at the end of 5 years?

A 5,125
B 5,000
C 1,362
D 1,131
E 1,064

Answers

Answer:

A = P (1 + i)^n     where the principal P equals amount A after n periods

P = 1000     and i = .025 / yr

A1 = A (1.025) = 1025

A2 = A1 (1.025) = A (1.025)^2     etc

A5 = A (1.025)^5 = 1000 * (1.025)^5 = 1131 after 5 years

F(x)=-2x^2-3
find f(2)

Answers

Step-by-step explanation:

f(x)=-2x²-3

By replacing x with 2, we get

f(2)=-2×2²-3

=-2×4-3

=-8-3

=-11


Please help meeeeeweeeeeeeeeeee​

Answers

5.) 1/4 2/5 1/2 5/8 4/6

A. < , > , <
B. > ,< , >
C. > ,< , > ,<, <
6/8 > 6/10

Complete the missing ? That will make the sentences true

I’m confused on what to do please help!!

Answers

Answer:

1.21 ) 8

1.22) 6

1.23) €

1.24)⊂

1.25)=

Answer:

[tex]1)7 \\ 2)6 \\ 3) > \\ 4)0 \\ 5)phy[/tex]

3 friends share 2 pizzas evenly. About how much pizza will each friend get?

Answers

Answer:

2/3

Step-by-step explanation:

Pick up one of the pizzas. Cut it into three equal amounts. Do the same with the other pizza. Each slice is called 1/3.

Each person gets 1/3 + 1/3 which is called 2/3.

The amount of pizza each friend will get, as expressed as a fraction is: 2/3.

What are Fractions?

Fractions can be described as numerical quantities that are a part of a whole number but are not whole numbers.

There are 2 pizzas to be shared among 3 friends. Since 3 is greater than 2, the amount each will get will be a fraction.

Each friend will get: 2/3 pizzas.

Learn more about fractions on:

https://brainly.com/question/78672

#SPJ6

Find the area of a circle with a diameter of 10 feet using pi=3.14

Answers

Answer:

78.5 ft^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

r = d/2 where d is the diameter

r = 10/2 = 5

A = 3.14 ( 5)^2

A = 78.5 ft^2

Which expressions is equivalent to 3x (2x– 3)?
(hint: select ALL that apply. Remember to distribute!)

Answers

Hi ;-)

[tex]3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}[/tex]

[tex]3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you[/tex]

Question 13 (5 points)
Find the distance between (-8, 4) and (-8, -2).
6 units
2 units
10 units
8 units

Answers

The answer you are looking for with this problem is going to be 6 units. Hope this helps you!

Answer:

Step-by-step explanation:

-y- 3 (-3y+5) helpppppppp

Answers

Answer:

D = 8y-15

Step-by-step explanation:

-y-9y-15 than combine -y and -9y

so = 8y-15

7/9+6/8+6/3=
please help me​

Answers

Hi ;-)

7/9 + 6/8 + 6/3 = 7/8 + 3/4 + 2 =

= 28/32 + 24/32 + 2 = 52/32 + 2 =

= 1 20/32 + 2 = 3 20/32 = 3 5/8

Answer:

the answer is three and nineteen over thirty-six

[tex]3 \19 \36[/tex]

Other Questions
Why did the English colonies have a difficult time seeing themselves as one nation? "Los estudiantes no ____ razn el examencito." Fill in the blank with the right word using a ser, estar, tener, ir, or hacer verb. Find the area of a square with sides 11 feet long. The first document to limit the power of government by establishing that the power of the monarchy is not absolute was Group of answer choicesPetition of RightsMagna CartaEnglish Bill of RightsDeclaration of Independence Which best explains Charles Is actions after Parliament refused him war funds?He destroyed Parliament.He overthrew Parliament.He dissolved Parliament.He resisted Parliament. make sense of this. PLSSSS 15 POINTSSSSS URGENT HELP PLEASEEach item contains a sentence fragment. Rewrite each sentence by ADDING INFORMATION to create a complete sentence.Roddy Burdine set up his trading post along Brickell Avenue. And traded with settlers along the banks of the Miami River.Elvis Presly reacted to the situation. Running quickly to avoid the rapidly approaching mob.I got involved in extracurricular activities. Auditioning for the dance company during my first year of college. A movie with an aspect ratio of 1.85:1 is shown as a letterboxed image on a newer 50-inch 16:9 television. Calculate the height of the image, the height of each barely visible black bar at the top and bottom of the screen, and the percent of the screens area that is occupied by the image. Use a variety of representations to justify your response. Hello guys can you help me on this. Roast beef has 25 g of protein and 11 g of calcium per serving. A serving of mashed potatoes has 2 g of protein and 25 g of calcium. Set up and solve a system to show how many servings of each are needed to supply exactly 29g of protein and 61 g of calcium. a + 1 = 3000a = ?This is my first question, I know the answer. I just wanna test the platform. Solve 1/x = 1/a + 1/b find x what is the main idea in the story ? plz answer it is urgent Help me describe this image. Help me with the e or how many you can Please afsp Would you rather live in Athens or Sparta? Why do you prefer one over the other? what is -2 1/3 - (-5)= list of functions of control unit Plz help!! Math isnt my thing. Ill give brainliest. At what speed is a 0.5 kg ball hit by Tom if he applies 300 J of kinetic energy to the bat?