In a quadrilateral ABCD, line AC = x + 6 and line BD = 2x-4. For what value of x Is ABCD a rectangle?

Answers

Answer 1

Answer:

  x = 10

Step-by-step explanation:

The diagonals of a rectangle are the same length. This means ...

  AC = BD

  x +6 = 2x -4

  10 = x . . . . . . . . add 4-x to both sides

The figure is a rectangle for x=10.


Related Questions

Lynne walks dogs every day to earn money. The fees she charges per month are 1 dog,$40;2 dogs,$37.25 each;3 dogs,$34.50 each;4 dogs,$31.75 each. A pet store wants her to walk 8 dogs if the pattern continues, how much will Lynne charge to walk each of the 8 dogs.

Answers

Answer:

The answer is $20.75

A dog: 40$

2: $37.25

3: $34.50

4: $31.75

5: $29

6: $26.25

7: $23.50

8: $ 20.75

Step-by-step explanation:

Minus $2.75 is the pattern

Answer:

$ 59.25

Step-by-step explanation:

The given rates form an AP (Arithmetic Progression).

Let the cost of walking 1 dog be taken as the first term

and,

cost of walking 2 dogs as second term,

we notice that the price per dog is decreasing by 2.75 $ each time the number of dogs is increasing by 1.

So, it's safe to say that

In the AP:

First term is $ 40

Common difference is $ 2.75

Finding the charge to walk each of the eight dogs is like finding the 8th term of the given Series.

Formula for n-th term of a depreciating AP in terms of common difference(d) and first term(a):

[tex] \boxed{ \mathsf{a _{n} = a - (n - 1)d}}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - (8 - 1) \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 7 \times 2.75}[/tex]

[tex] \implies \mathsf{a _{8} = 40 - 19.25}[/tex]

[tex] \implies \mathsf{a _{8} = \underline{20.75}}[/tex]

Answer:

Hence, the charge to walk each of the eight dogs is $ 20.75

Can someone help me please​

Answers

D does not show to Communicative Property of Addition. D is the Communicative Property of Multiplication.

Answer:

D. ab=ab

Step-by-step explanation:

Communitive property of addition is a number plus a number and the number added to the first number backwards but equal the same answer. For instance (if you don't understand what I'm saying) Look at answer A in your problem, a+b=b+a that's how the communitive property works in addition. The rest of the answer choices also shows communitive property. This is why answer D does NOT show the communitive property in addition.

I'm sorry if I didn't explain right or if I'm wrong but I tried my best. Have a good day and enjoy your answer. I hope you learned something Thanks :)

what is the slope of the line

Answers

Answer:

The slope is 1.

Step-by-step explanation:

Let's take two points on a line. (2,0) and (0,2).

Now, determine the rise and run.

Rise: 2 Run: 2

Slope = Rise/Run

=> 2/2

Conclusion:

Therefore, the slope is 1.

Hoped this helped.

Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960

Answers

He will save 416 dollars in one year

Answer:

$416

Step-by-step explanation:

weeks in a year is 52 weeks

52×8=416$

please help me with this. really need this​

Answers

Answer:

  (a)  1

Step-by-step explanation:

When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.

If you want 4 solutions, the value of c in f(x)=c cannot be 1.

WILL GIVE BRAINLIEST!
what are the values of a and b so the system of equations has infinitely many solutions?
y= -1/2x+b
y= ax + 15

Answers

Answer:

a: -1/2

b: 15

Step-by-step explanation:

A system that has infinite solutions is the same line on top of itself.

Hope that helps

simplify 3^-6x(3^4 divided by 3^0)^2

Answers

Answer:

Step-by-step explanation:

Changes made to your input should not affect the solution:

(1): "^-6" was replaced by "^(-6)".

Equation at the end of step

1

:

  34

 {——}2

  1

STEP

2

:

           34

Simplify   ——

           1

Equation at the end of step

2

:

 ((3-6) • x) • (34^2)

Equation at the end of step

3

:

 ((3)(-6) • x) • 38

Dividing exponents:

4.1    38   divided by   36   = 3(8 - 6) = 32

Final result :

 9x

The simplification of the given expression gives the value 9.

What is simplification?

Simplification is defined as a process in mathematics to operate and interpret an expression to make the expression simpler.

This can be done using various results or the basic operations of numbers.

Given expression is 3⁻⁶ × (3⁴ / 3⁰)².

We have to use product rule and quotient rule of exponents to simplify this.

We know that,

xᵃ × xᵇ = xᵃ⁺ᵇ

xᵃ / xᵇ = xᵃ⁻ᵇ

Also, (xᵃ)ᵇ = xᵃᵇ

3⁴ / 3⁰ = 3⁴⁻⁰ = 3⁴

Substituting,

3⁻⁶ × (3⁴ / 3⁰)² = 3⁻⁶ × (3⁴)²

                       = 3⁻⁶ × 3⁸

                       = 3⁻⁶⁺⁸

                       = 3²

                       = 9

Hence the simplified form of the given expression is 9.

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does anyone know how to do this?

Answers

Answer:

x = 1y = -7

Step-by-step explanation:

The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.

After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.

  7(2x +3y = -19)   ⇒   14x +21y = -133

  2(-7x +2y = -21)   ⇒   -14x +4y = -42

Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)

  (14x +21y) +(-14x +4y) = (-133) +(-42)

  25y = -175 . . . . . . . . simplify

  y = -7 . . . . . . . . . . . divide by 25

Substituting this value into the first equation gives ...

  2x +3(-7) = -19

  2x = 2 . . . . . . . . . add 21

  x = 1 . . . . . . . . . divide by 2

The solution is x = 1, y = -7.

_____

Additional comment

The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.

Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.

Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.

Help me with this I can’t ;c

Answers

Hello there, this is how we would solve this problem, we can see that angle KAE equals 90° and we have an angle that equals 62° now since angle GCJ or also known as x is a vertical angle with IAD we can make the following equation

[tex]x+62+90=180[/tex] subtract 62 and 90 from both sides and we get that [tex]x=28[/tex]°

Multiply the monomials:
(3/4)pq, (1/2)qr^2, -5q^2r^3 and -6r^5​

Answers

Given monomials are (3/4)pq , (1/2)qr² , -5p²r³ and -6r⁵

On multiplying them then

⇛ [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵]

⇛ [(3/4)×(1/2)×(-5)×(-6)]×(pq×qr²×p²r³×r⁵)

⇛[(3×1×-5×-6)/(4×2)](p×p²)×(q×q)×(r²×r³×r⁵)

⇛ (90/8)×p³×q²×r¹⁰

Since a^m × a^n = a^(m+n)

⇛ (45/2)×p³×q²×r¹⁰

⇛( 45/2 ) p³q²r¹⁰

Answer:- [(3/4)pq]×[(1/2)qr²]×[-5p²r³]×[-6r⁵] = (45/2)p³q²r¹⁰

someone should help me with this question

Answers

Answer:

option c.)

Step-by-step explanation:

m∠1 + m∠3 = 180°

Which ratio is equivalent to the rate
8 meters
1 second
?

Answers

A unit rate where one is in the Denometer, so you would want to divide the bottom by 10.

The ratio as a unit rate is 0.8 meters per second.

What is a Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

The given statement is "8 meters in 10 seconds".

It can be written as:

= 8/10 meters per second

= 0.8 meters per second

Thus, the ratio as a unit rate is 0.8 meters per second.

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The Question attached here seems to be incomplete, the complete Question is

Write the ratio as a unit rate. 8 meters in 10 seconds.

A. 0.8 meters per second

B. 1.125 meters per second

C. 2 meters per second

D. 80 meters per second

8. Beth doesn’t begin receiving commission until she reaches $50,000 in sales. After that, her commission rate is 12%. If she ends up selling cars totaling $115,000, how much money would she make in commission?
A.$13,800
B.$6,000
C.$7,800
D.$8,400

Answers

Step-by-step explanation:

she is the only sales agent selling cars after totaling them ... :-)

she makes 12% commission on the amount of sales beyond $50,000.

so, total sales was $115,000.

the base for her commission is then

115,000 - 50,000 = $65,000

she gets 12% of these $65,000.

100% = $65,000

1% = 100%/100 = 65,000/100 = $650.

12% = 1%×12 = 650 × 12 = $7,800

so, C is the right answer.

200m - 125m + 48,750 = 50,000 - 175m​

Answers

Answer:

m = 5

Step-by-step explanation:

200m - 125m + 48,750 = 50,000 - 175m​

=> 75m + 48,750 = 50,000 - 175m​

=> 75m + 175m = 50,000 - 48,750

=> 250m = 1250

=> m = 5

Hoped this helped.

Find the area of the shape. Either enter an exact answer in terms of π or use 3.14, point, for π and enter your answer as a decimal.

Answers

Answer:

25π

Step-by-step explanation:

1) for whole circuit: A=π*r², where r - radius of the given circle;

2) for a quater of the circuit: A=πr²/4;

3) finally, A=π*100/4=25π.

Please answer really quick

Answers

Answer:

A, 94

Step-by-step explanation:

4. A since that is the tallest of the bars

5. 51 + 9 + 34 = 94 people



Does ANYONE Know How To Solve THIs…Brainliest Will be awarded!!!

Answers

Answer:

w = 8x = 8√2y = 8√2z = 16

Step-by-step explanation:

A 45-45-90 right triangle is isosceles. That means both legs are the same length, and its hypotenuse is √2 times the leg length. You can figure these facts using trigonometry or the Pythagorean theorem, or you can rely on your memory of them.

w = 8 . . . . . . . . . . . same as the leg length shown

x = y = 8√2 . . . . . hypotenuse of smaller triangle; both legs are the same

z = (8√2)√2 = 16 . . . . hypotenuse of larger triangle

find the degree desirous the number of turning point in the y-intercept of the given graph of each polynomial function below
pasagot po ako​

Answers

Answer:

2

Step-by-step explanation:

There are two turning points, therefore this is a cubic function. The degree is 3

I promise y’all this is the last question I need to be answered

Answers

Answer:

sorry there's no results

Step-by-step explanation:

just skip it

You go to your locker to get some supplies. You grab 3 pens and 6 markers, then you find 2 more markers on the bottom of your locker. Choose the equivalent expressions to represent the number of pens and markers you now have.
BoldItalicUnderline

Answers

I’m not sure, it may be 3x2 for the equivalent expressions :/

PLEASE HELP 15 POINTS please give right answer​

Answers

Answer:

pretty sure it's D........

During a sale at a furniture store, sofas were marked down 30%. You have a coupon for an additional 15% off. What is the final price of a sofa that originally cost $550?

Answers

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

The final price of a sofa will be $302.5.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Given that;

The original price of a sofa = $550

During sale at a furniture store, sofas marked down = 30%

Coupon for an additional 15% off.

Now,

Total percent for profit on a sofa = 30% + 15%

                                                  = 45%

Hence, The cost of a sofa after discount will be calculate as;

The cost of discount at a sofa = 45% of 550

                                              = 45/100 x 550

                                              = 24,750 / 100

                                              = 247.5

So, The final cost of a sofa = $550 - $247.5

                                         = $302.5

Therefore, The final price of a sofa will be $302.5.

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How is the graph of y = log (x) transformed to produce the graph of y = log (2 x) + 3?
It is stretched horizontally by a factor of 2 and translated up 3 units.
It is compressed horizontally by a factor of 2 and translated up 3 units.
It is stretched vertically by a factor of 2 and translated up 3 units.
It is compressed vertically by a factor of 2 and translated up 3 units.

Answers

Transformation involves changing the form of a function

The true statement is (a) it is stretched horizontally by a factor of 2 and translated up, 3 units.

The function is given as:

[tex]y = \log(x)[/tex]

Start by stretching the graph of [tex]y = \log(x)[/tex], horizontally by a factor of 2.

So, we have:

[tex]y = \log(2 \times x)[/tex]

[tex]y = \log(2x)[/tex]

Next, shift the function up by 3 units.

So, we have:

[tex]y = \log(2x) + 3[/tex]

Hence, the true statement is (a)

Read more about transformations at:

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Answer:

its b on edge

Step-by-step explanation:

What is the common ratio for the geometric sequence?
18,12,8, ...
16/3
Enter your answer in the box.

Answers

Answer:

Answer below

Step-by-step explanation:

basically, what should we multiply each term by to get next term

18 times what=12

what=12/18=2/3

12 times what=8

what=8/12=2/3

common ratio is 2/3

_____________________________________________________

(hope this helps can I pls have brainlist (crown)☺️)

There are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

How many books are in the school library?

Answers

Answer: First we know the Town Library has 3 times as many books as there are in the School Library. The Town Library has 2,676 books.

Divide 2,676 by 3. 2676÷3= 892

So your answer is: 892 books.

Hope I helped. :)

The number of books in the library will be 892.


What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 3 times as many books in the town library as there are in the school library. The town library has 2,676 books.

The number of books will be calculated as,

Number = 2676 / 3

Number = 892

Hence, the number of books will be 892.

To know more about an expression follow

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John is renting a boat, it costs $40 for the day and $5 per hour to rent. set an expression for the cost of the boat rental.A) factor the expressionB) how much would it cost for 4 hours

Answers

Answer: B

Step-by-step explanation:

What is the value of the expression
3-4 ?

Answers

Answer:

[tex]3 - 4 = 1[/tex]

✨✨

3-4

you just need to subtract 3 from -4

so , your answer is -1

Divide. Give the exact answer, written as a decimal.

Answers

Answer: 554

Step-by-step explanation: cause yeah

Ricky scored 20 points in his first game and 18 points in his second game. He played three games during the week and averaged 21 points per game. How many points did he score in his third game?

Answers

Answer:

25 points

Step-by-step explanation:

21 x 3

63

-20

43

-18

25

What common side does ΔABC share with ΔADC?


BC

AD

BD

AC


Answers

I think it’s AC, but I may be wrong

Answer:

it's a and c

luk closely

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