If DF=7x-3 and EG=5x+9, find the value of X

If DF=7x-3 And EG=5x+9, Find The Value Of X

Answers

Answer 1

Answer:

6

[tex] \: [/tex]

Step-by-step explanation:

A rectangle is a parallelogram with equal angles and the diagonals of a rectangle are of equal length.

[tex] \: [/tex]

Therefore,

[tex]\\ { \longrightarrow \qquad{ \sf{ \pmb {DF = EG}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {7x - 3 = 5x + 9}}}} \: \: \\ \\[/tex]

Subtracting 5x from both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {7x - 5x - 3 = 5x - 5x + 9}}}} \: \: \\ \\[/tex]

[tex] { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 = 9}}}} \: \: \\ \\[/tex]

Adding 3 to both sides we get :

[tex] \\ { \longrightarrow \qquad{ \sf{ \pmb {2x - 3 + 3 = 9 + 3}}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \sf{ \pmb {2x = 12}}}} \: \: \\ \\[/tex]

Dividing 2 from both sides we get :

[tex]\\ { \longrightarrow \qquad{ \sf{ \pmb { \frac{2x}{2} = \frac{12}{2} }}}} \: \: \\ \\[/tex]

[tex]{ \longrightarrow \qquad{ \frak{ \pmb {x = 6}}}} \: \: \\ \\[/tex]

Therefore,

The value of x is 6

Related Questions

Solve the following sum:
4X - 3 = 9x = ...

Answers

Answer:

x = -3/5

Step-by-step explanation:

4x-3=9x

-9x -9x

-5x-3=0

+3 +3

-5x/-5=3/-5

x = -3/5

Answer:

x=-0.6 or -3/5

Step-by-step explanation:

4x-3=9x

4x-9x=3

-5x=3

-5x/-5=3/-5

x=-3/5

or x= -0.6

In their yard, Larry’s parents decided to plant tomatoes in a certain area. They chose an area that was of a yard long and of a yard wide. Choose the model that shows the area they’ll use for tomatoes.

18/18
15/18
8/15
10/18

Answers

the answer is 18/18 which is the first one

In the function f(x) = 3x + 2, f(5) = ________.

Answers

Answer:

17

Step-by-step explanation:

In this function, x = 5, so replace the x with 5 in the equation, multiply by 3, add 2, and 17 is the answer.

Answer:

[tex]f(x)=17[/tex]

Step-by-step explanation:

[tex]f\left(x\right)\:=\:3x\:+\:2;\:f\left(5\right)[/tex]

For f(x)=3x+2, substitute x with 5

[tex]f(x)=3(5)+2[/tex]

[tex]f(x)=17[/tex]

~

please answer quickly ​

Answers

Answer:

Given,

Area of the Square = ( x² - 10x + 25 ) m²

We have to find: Length of the side of the square.

Let s be the side of square.

We find length of side of the by using factorization.

According to the question,

s² = x² - 10x + 25

s² = x² - 5x - 5x + 25

s² = x( x - 5 ) - 5( x - 5 )

s² = ( x - 5 )( x - 5 )

s² = ( x - 5 )²

Taking square root on both sides we get,

s = x - 5

Therefore, Expression that represents the length of one side of the square is x - 5.

Step-by-step explanation:

PLEASE HELP
what is the coefficient in the expression below 2x-8​

Answers

Answer:

2x - 8

Parts of an equation:

2 - coefficient

x - variable

8 - constant

The number 2 is not a coefficient in the expression. FALSE.

The expression has three terms. FALSE. two terms only: 2x & 8

The variable in the expression is x. TRUE

The number 2 is a constant in the expression. FALSE

The expression has one variable term. FALSE. 2x is term but it's a combination of a number and a letter. Variable term is letter only.

Hello.

The coefficient is the number before a variable (letter)

The constant is also a number.

What's the difference between a constant and a coefficient?

Well, a coefficient is always before a variable, and a constant is just a number (without any variables next to it)

In this case, the variable is x, the number before x is 2, and 8 is the constant.

Therefore, 2 is the coefficient in this expression.

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

You will purchase some CDs and DVDs. If you purchase 9 CDs and 8 DVDs, it will cost you $95.35, if you purchase 8 CDs and 9 DVDs, it will cost you $101.00. Write and solve a system of equations to answer the following questions.
Each CD costs ____ and each DVD costs____

Answers

Answer:

Dvd= $8.6

Cd= $2.95

Step-by-step explanation:

Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11

Answers

2x-4y=-4 —> x=-2 y=1
2x +y=11 —> x= 5.5 y=11

Answer:

(4, 3 )

Step-by-step explanation:

2x - 4y = - 4 → (1)

2x + y = 11 → (2)

subtract (2) from (1) term by term to eliminate x

(2x - 2x) + (- 4y - y) = - 4 - 11

0 - 5y = - 15

- 5y = - 15 ( divide both sides by - 5 )

y = 3

substitute y = 3 into either of the 2 equations and solve for x

substituting into (2)

2x + 3 = 11 ( subtract 3 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

solution is (4, 3 )

linear equations and inequalities​

Answers

Answer: the question wasn't clear hence just  defined the meaning to it

Step-by-step explanation:

A linear inequality resembles in form an equation, but with the equal sign replaced by an inequality symbol. The solution of a linear inequality is generally a range of values, rather than one specific value. Such inequalities arise naturally in problems involving words such as 'at least' or 'at most'.

Solve for the value of r.
(6r-7)
55°

Answers

Answer:

r=7

Step-by-step explanation:

6r-7+90+55=180

6r+138=180 ----- 6r=180-138

6r=42 ----- divide both sides by 6

r=7

(We get the 90 from the 90degrees in the middle of this supplementary angle and the total, 180, from the straight angle made from all three angles.)

hope this helps!

Answer and get Brainliest <3

Answers

Answer:

width = 9/2 inches, length = 18 inches

Step-by-step explanation:

Step-by-step explanation:

l = length

w = width

l×w = 81 in²

l = 2w + 9

we can use the identity of the second equation in the first equation :

(2w + 9)×w = 81

2w² + 9w = 81

2w² + 9w - 81 = 0

the general solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 2

b = 9

c = -81

w = (-9 ± sqrt(9² - 4×2×-81))/(2×2) =

= (-9 ± sqrt(81 + 648))/4 =

= (-9 ± sqrt(729))/4 = (-9 ± 27)/4

w1 = (-9 + 27)/4 = 18/4 = 9/2 in

w2 = (-9 - 27)/4 = -36/4 = -9

a negative solution for a side length does not make any sense, so, width = 9/2 in is the only valid solution.

l = 2w + 9 = 2×9/2 + 9 = 9+9 = 18 in

so, the last answer option is correct.

Each patron can borrow the books for 2 weeks and renew the loan twice. What is the maximum number of days a patron can keep the books he borrowed from the library? (Its 564 patrons)

Answers

Answer:

1 patron can carry a book for 42 days

Answer:

42 Days

Step-by-step explanation:

2 Weeks = 14 Days

Max amount of weeks allowed = 6

[tex]6*7=42[/tex]

42 days

I need help ASAP to find the solution

Answers

Answer:

(1,-1)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Using a ruler and a compass, construct the triangle FGH with FG = 7.5cm, angle FGH = 120° and angle GFH = 30°

Answers

Answer:

(1, –1), (4, –16), (5, –25) i think

Step-by-step explanation:

How many pennies are on the nth square? 2n 2n – 1 2n 1 2n – 1 2n 1

Answers

The number of pennies is on the [tex]\rm n^t^h[/tex]square is  [tex]\rm 2^n^-^1[/tex].

I am assuming the:

1 penny = [tex]2^0[/tex]

2 pennies = [tex]2^1[/tex]

3 pennies = [tex]2^2[/tex]

and so on.

It is required to find how many pennies are on the [tex]\rm n^t^h[/tex]  square.

What is a sequence?

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have:

1 penny = [tex]2^0[/tex]

2 pennies = [tex]2^1[/tex]

3 pennies = [tex]2^2[/tex]

If we observe the pattern, we see it on the  [tex]\rm n^t^h[/tex]  square the number of pennies will be [tex]\rm 2^n^-^1[/tex]

[tex]\rm n^t^h= 2^n^-^1[/tex]

Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is  [tex]\rm 2^n^-^1[/tex].

Learn more about the sequence here:

https://brainly.com/question/21961097

2 2/3 x64 come on i give you lot of points

Answers

Answer:

170 2/3

Step-by-step explanation:

2 2/3 x 64 is the same thing as:

[tex]\frac{8}{3}[/tex] × [tex]\frac{64}{1}[/tex] = ?

Multiply across.

8 x 64 = 512

3 x 1 = 3

Simplify the fraction.

512/3 = 170 2/3

need help Asapppp please i can’t figure it out or find answers. i will mark as the brainliest please

Answers

Answer:

sorry this is wrong. the wright answer is y = -4x+3

Step-by-step explanation:

What will be the total cost of Maria's ARM if the term of the loan were 25 or 20 years instead of 30? Use the variable rate loan calculator to find the answers. Write them in the spaces below.

Mortgage Term | Total Cost
25 years: |
20 years: |​

Answers

Answer:

The total cost of the loan goes down as the term decreases. Although the amount of the loan itself remains the same, the total amount of interest Maria would have to pay in interest decreased when the term of the loan decreased. However, the monthly payments increased when the term decreased. So, a shorter term saves interest but requires greater monthly payments.

Step-by-step explanation:

Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The function g(x) = 844(1.06)x models the value of Connor’s account after x years. What is the difference between the percentage points of the two annual interest rates?
A. 7%
B. 1%
C. 6%
D. 4%

Answers

The answer to the question is A. 7%.
The answer to this is A 7%

now help me with this one please and explain, please

Answers

Answer:

72 sq ft

Step-by-step explanation:

A square room means ecah side is equal. so 12*12= 144.

12 times 6 (for the height)= 72 sq ft

Answer:

72 square feet

Step-by-step explanation:

if the area of the floor is 144 and square, that means that the sides are the same length. 12 * 12 = 144 so the length is 12.

the height of the room is 6 so you multiply 12 and 6 and you get 72

hope this helped! :)

the measure of one interior angle of a triangle is 45°. What can you conclude about the other two interior angles of the triangle?
One of the other angles must be a right angle.
The sum of the measures of the other two angles is 135°.
The other two angles must be acute angles.
One of the other angles must have a measure greater than 90°.

Answers

Answer:

The sum of the measures of the other two angles is 135°.

Step-by-step explanation:

The sum of the interior angles of a triangle will add up to 180°. So by subtracting 45° from 180°, the other two angles have to add up to 135°.

Answer:

The sum of the measures of the other two angles is 135° or b

Step-by-step explanation:

Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the fence?

35 ft
70 ft
68 ft
300 ft

Answers

Answer:

70 ft

step-by-step explanation:

perimeter of rectangle = 2 ( length + width )

2(20+15)

2(35)

70

Answer:

Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the feet

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

answer - ----

length = 20

width = 15

perimeter of rectangle is 2 (l+b)

2( 20 + 15 )

= 70 feet answer

4 1/6 + 5 2/3Enter your answer as a mixed number in simplest form

Answers

Answer:

Step-by-step explanation:

First, change the mixed numbers into improper fractions:

5 2/3 = 17/3

Then, find the common denominator:

41/6 + 17/3=

LCM = 6

17/3 *2 = 34/6

41/6 + 34/6

Last, Add

25/6  or

12 1/2

Hope this helps!

mark brainliest if possible!

write an inequality for the situation below: Bring at least $7.50 to see the play.

Answers

P (greater than or equal to symbol) 7.50

factor the polynomial below completely
**21* 3x+6
O A. (X+3)(x+3)
O B. (X2 + 2)(x+3)
O c. (+2)(x+2)
O D. (x2+3)(x + 2)

Answers

i believe the answer is c

b/4 < 4 im trying to figure it

Answers

Answer:

b<16

Step-by-step explanation:

b/4<4. Multiply 4 on both sides. b has to be less than 16.

Hurry please!
What is the slope of a line parallel to the line whose equation is x + 2y = -14.
Fully simplify your answer.

Answers

Answer:

Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.

Step-by-step explanation:

Answer:

2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.

Step-by-step explanation:

What is the value of x in the figure below?

Answers

Answer:

9

Step-by-step explanation:

3x+8 = 35

3x = 27

x = 9

Hope this helps :)

x = 9

Step-by-step explanation:

Here, (3x + 8)° and 35° are vertically opposite angles which are equal, therefore,

3x + 8 = 35

3x = 35 - 8

3x = 27

x = 27/3

x = 9

Hope it helps you!!

Jackie bought a rectangular picture frame that is 56 feet long and 123 feet wide. What is the area of the picture frame? Enter your answer as a mixed number in the simplest form by filling in the boxes.

Answers

Answer:

I have included a screenshot of my test. It shows I got it wrong but has the correct answer as well. Good luck I hope my mistakes help someone.

Step-by-step explanation:

The area of the rectangular picture frame that is 5/6 feet long and [tex]1\frac{2}{3}[/tex] feet wide is  [tex]1\frac{7}{18}[/tex] ft²

What is area?

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, Jackie bought a rectangular picture frame that is 5/6 feet long and [tex]1\frac{2}{3}[/tex] feet wide.

We need to find its area,

We know that, the area of the rectangle = length × width

Here,

Length = 5/6 ft

Width =  [tex]1\frac{2}{3}[/tex] ft

Area =  [tex]1\frac{2}{3}[/tex]  × 5/6

= 5/3 × 5/6

= 25/18

= [tex]1\frac{7}{18}[/tex] ft²

Hence, the area of the rectangular picture frame that is 5/6 feet long and [tex]1\frac{2}{3}[/tex] feet wide is  [tex]1\frac{7}{18}[/tex] ft²

Learn more about areas, click;

https://brainly.com/question/27683633

#SPJ2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Click and place the appropriate equivalent forms of the numbers shown.​

Answers

Step-by-step explanation:

64% = 64/100 = 16/25 = 0.64

1/8 = 0.125 = 12.5%

1.4 = 140% = 140/100 = 100/100 + 40/100 = 1 2/5

2 3/4 = 2.75 = 275%

8% = 8/100 = 2/25 = 0.08

x+8=6 solve each equation ​

Answers

Answer:

=> x = -2

Step-by-step explanation:

=> x+8=6

=> x = 6-8

=> x = -2

Answer:

-2

Step-by-step explanation:

x= negative 2

-2 + 1= -1

-2 + 2=0

-2 + 3=1

-2 + 4=2

-2+ 5=3

-2 +6=4

-2 + 7=5

-2 +8=6 so this problem is x + 8 and the x= - 2 so your answer is -2 + 8=6

Hope it helps have a great day:)

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