In quadrilateral ABCD, AC = x +9 and BD = 2x-11 For what value of x is ABCD a rectangle?

Answers

Answer 1

9514 1404 393

Answer:

  20

Step-by-step explanation:

The figure will be a rectangle when the diagonals AC and BD are the same length:

  AC = BD

  x +9 = 2x -11

  20 = x . . . . . . . add 11-x to both sides

ABCD will be a rectangle when x=20.


Related Questions

please factor x^3+2x^2-x-2=(x+ )(x+ )(x+ )

Answers

Answer:

(x+2) (x+1) (x-1)

Step-by-step explanation:

You would add and subtract the second term to the expression  

Factor x3+2x2−x−2

x3+2x2−x−2

=(x+2)(x+1)(x−1)

Carter stated that 5(x + 9) - 3x is the same as 2x + 45. Lori disagreed with him and said that an equivalent expression is 2x + 9. Who was right?

Answers

Answer:

Carter;

5 ( x + 9 ) - 3x = 2x + 45

Step-by-step explanation:

Simplify the equation;

5 ( x + 9 ) - 3x

Distribute the 5, remember, you have to distribute 5 over both terms.

5x + 45 - 3x

Combine like terms;

2x + 45

Solve for y: 1 + 7y = 5x -2

Answers

Answer:

5x/7 - 3/7

Step-by-step explanation:

5x-7y=3

Y= 5/7x-3/7


What is the value of x?
Enter your answer in the box.
X =

Answers

Answer:

x = 20

Step-by-step explanation:

Since the two angles are vertical, they are equal.

That means

3x + 50 = 6x - 10

60         = 3x

20         = x

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

[tex]We\ know\ that,\\"When\ two\ lines\ intersect\ the\ pair\ of\ Vertically\ Opposite\ Angles\\ are\ always\ equal"\\Here,\\As\ the\ lines\ intersect\ each\ other,\ the\ angle\\ measuring\ (3x+50)\ and the\ angle\ measuring\ (6x-10)\ are\ equal.\\Hence,\\3x+50=6x-10\\3x-6x=-10-50\\-3x=-60\\x=\frac{-60}{-3}\\x=20[/tex]

Sherrie buys a laptop computer for $600. Each year, the value of her laptop decreases by $40. How many years will it take before the laptop is not worth anything? Explain how you know your answer is correct.

Answers

Answer:

15 years

Step-by-step explanation:

$40 x 15 (years) = 600

600 - 600 = 0

The cost of two books is ₹126.If the cost of one book is twice the other, the find the cost of books.​

Answers

$84 is the doubled price and $42

Solve for x using the vertical angles below:
(2 + 3x)
62

Answers

Answer:

20

Step-by-step explanation:

Solving  for x using the vertical angles we get , the value of x is: x = 20.

Here, we have,

from the given figure we get,

angle (2 + 3x) and angle62 are opposite angles.

we know that,

When two lines intersect each other, then the opposite angles, formed due to intersection are called vertical angles or vertically opposite angles. A pair of vertically opposite angles are always equal to each other.

so, we have,

angle (2 + 3x) = angle62

(2 + 3x) = 62

or, 3x = 60

or, x = 20

Hence, Solving  for x using the vertical angles we get , the value of x is: x = 20.

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answer correctly pleasee

Answers

Answer:

Slope= 4

Step-by-step explanation:

When you start at (0, 0) and then go to (1, 4), then you have to use the slope.

So, to figure out the slope, you have to do rise over run, rise/run.

So, as shown in the graph, the rise is 4 because the rise is the y so to get from 0 to 4, you have to add 4.

And the run, which would be the x side is 1 because to get from 0 to 1. You add 1.

This shows us that the slope is 4/1 which could be simplified to just 4.

2. Write an equation in slope intercept form with the given Information Goes through points (1, 8) and (5, 0)

Answers

Answer:

[tex]y = -2x + 10[/tex]

Step-by-step explanation:

Slope: [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]

Slope-Intercept Form: [tex]y=mx+b[/tex]

[tex]m=\frac{8-0}{1-5}[/tex]

[tex]m = -2[/tex]

[tex]y = -2x + b[/tex]

[tex]0 = -2 (5)+b[/tex]

[tex]0=(-10)+b[/tex]

[tex]b = 10[/tex]

[tex]y = -2x + 10[/tex]

Solve for t : t3 + 4 =-4

Answers

-2.6 I think is the correct answer

haaaaallllllppppppp my brains fried atm

Answers

I’m pretty sure it’s 9, I haven’t done this in awhile though...

28 members;50% increase

Answers

Answer:

I think the answer is 42.

Step-by-step explanation:

If there is a 50% increase in members then the number of members would go up 14. Adding 14 to 28, you come away with 42.

Sorry if it's wrong.

2x + y = -2
x + y = 5

Answers

Answer:

x= -7, y= 12

Step-by-step explanation:

To find the value of x and y, first label the 2 equations.

2x +y= -2 -----(1)

x +y= 5 -----(2)

(1) -(2):

2x +y -(x +y)= -2 -5

2x +y -x -y= -7 (expand bracket)

x= -7

subst. x= -7 into (2):

-7 +y= 5

y= 5 +7 (+7 on both sides)

y= 12

Kareem has a collect of dimes and quarters. He can tell that he has more quarters than dimes, and he knows that he has at most $2.

Write the system of inequalities to represent this.

Answers

Answer:

D<Q≤2 Or D<Q Q+D≤2

Step-by-step explanation:

I'm pretty sure this is the answer but it's been a while since I've done system of inequalities. Essentially the value and number of dimes is less than the value and number of quarters. And the value of both is less than or equal to 2 dollars

12x+4=2(5x+8)
ls solve for x​

Answers

Answer:

i believe the answer is x=6

Step-by-step explanation:

12x + 4 = 2(5x + 8)

12x + 4 = 10x + 16

12x - 10x = 16 - 4

2x = 12

2x/2=12/2

x=6

Write a conjecture using this information.

Rectangles are parallelograms. The opposite sides of parallelograms are parallel.

Answers

Answer:

The opposite sides of the rectangle are parallel.

Step-by-step explanation:

If that is true for all parallelograms and a rectangle is a parallelogram, then it should be true for a rectangle too, I think.

Answer:

The opposite sides of the rectangle are parallel. (for both questions)

Step-by-step explanation:

Got it right on edg

can someone plz help me with this question: select the correct answer. what is √125 in simplest form?​

Answers

Answer: First Option (5√5)

Answer:

First, you see if there are any perfect squares that are a factor of 125. If you do find some, find what is seemingly the biggest. In this case, it is 25, I think. So you can then out it as root(25×5), I think. As 25 is a perfect square, you can square and then put the number you get on the outside. So since 5×5=25, it becomes 5(root)5, which essentially means 5×(root)5, I think.

please help. I will mark you brainliest

Answers

Answer:

I think AB would be 67

BC would be 20 because its the whole line s 10+10 is 20

I am really sorry I don't know 1 and 4 I hope this helps tho

Also you dont have to give me brainliest

Step-by-step explanation:

The position of an open water swimmer is shown in the graph. The shortest route to the shoreline is one that is perpendicular to the shoreline Write an equation that represents this path


Please help!

Answers

Answer:

y = 1/2x + 4 1/2

Step-by-step explanation:

45+92+40+43+102x4/5=

Answers

I think the answer is 301.6?
It’s 22+408x/5 you welcome

Find y if y = -7x -23 and x = 10

Answers

Answer:

y=-93

Step-by-step explanation:

You just substitute 10 for x

y=-7(10)-23

y=-70-23

y=-93

pleaseeeeee helppppp, ill give you brainley i promise

Answers

its the third one for the answer

What is the value of x knowing that the interior angle of this regular polygon is (-134x+516+2x)?

Answers

Based on the calculations, the value of x for this regular polygon with the given interior angle is equal to 3.

What is a polygon?

A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides. Also, some examples of a polygon include the following:

TriangleQuadrilateralPentagonHexagonNonagonOctagon

Note: The number of sides (n) of a hexagon is 6.

In Geometry, the sum of the interior angles of both a regular and irregular polygon is given by this formula:

Sum of interior angles = 180 × (n - 2)

Sum of interior angles = 180 × (6 - 2)

Sum of interior angles = 180 × 4

Sum of interior angles = 720°.

Next, we would determine the value of x by using this formula:

Interior angle × Number of sides = Sum of interior angles

Substituting the parameters into the formula, we have;

(-134x + 516 + 2x) × 6  = 720

-134x + 516 + 2x = 720/6

-134x + 516 + 2x = 120

516 - 120 = 134x - 2x

396 = 132x

x = 396/132

x = 3.

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PLEASE HELP DUE IN 30 MINUTES

Answers

Answer:

y= 1/2x-2

Step-by-step explanation:

Answer above is correct

Element X is a radioactive isotope such that its mass decreases by 81% every year. If an experiment starts out with 490 grams of Element X, write a function to represent the mass of the sample after tt years, where the daily rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per day, to the nearest hundredth of a percent.

Answers

Answer:

We can say we start with 490 grams and after 1 year we have (490 * .81 grams) or 396.9 grams.

We can solve for half-life by this equation:

Half life = (time * log 2) / log (beginning amount / ending amount)

Half-life = (1 year * 0.30102999566) / log (490 / 396.9)

Half life = (1 year * 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Well, that's a start.

Step-by-step explanation:

The half life of the given radioactive isotope will be 3.2894067399  years.

What is Half life period?

The amount of time it takes to disintegrate by half an initial amount. For a given reaction, a reactant's half-life t-1/2 is the time it takes for its concentration to reach a value which is the arithmetic mean of its initial and final value.

Here, Element X starts with 490 grams

After 1 year we have  (490 X 0.81 grams) or 396.9 grams

Now, We can solve for half-life by this equation:

Half life = (time  X log 2) / log (beginning amount / ending amount)

Half-life = (1 year X 0.30102999566) / log (490 / 396.9)

Half life = (1 year X 0.30102999566) / log (1.2345679012 )

Half life = (0.30102999566) / 0.091514981109

Half-Life = 3.2894067399  years

Thus, the half life of the given radioactive isotope will be 3.2894067399  years.

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15x18x47x9 I don't understand multiplication pls help!

Answers

Answer:

the answer is 114,210..................

Help question in the picture

Answers

Answer:

thank you for the points :D

Step-by-step explanation:

Simplify 3+(5+p) I need help nowwe

Answers

Answer:

8+p

Step-by-step explanation:

add 3 plues 5 and you got ur answer

126x52 what is it I don’t know

Answers

Answer:

6552

Step-by-step explanation:

P.S Can I have brainliest?

Answer:

6,552

Step-by-step explanation:

Dave is hanging dry wall in a house with square rooms. He completes on average 2/ 3 of a wall in 1/2 of an hour. What is Dave's rate of completion expressed in walls per hour?
A. 1 /3
B. 3 /4
C. 1 1/6
D. 1 1/3

Answers

It’s A. 1/3 hhjhgddxgjhyrddf

Dave's rate of completion is 4/3 walls per hour and this can be determined by using the concept of unit rate.

Given :

Dave is hanging dry wall in a house with square rooms. He completes on average 2/ 3 of a wall in 1/2 of an hour.

The following steps can be used in order to determine Dave's rate of completion:

Step 1 - The concept of unit rate can be used in order to determine Dave's rate of completion.

Step 2 - According to the given data, Dave completes on average 2/3 of a wall in 1/2 of an hour.

Step 3 - Now, let Dave's rate of completion be 'x'.

Step 4 - So, the value of 'x' can be calculated as:

[tex]x = \dfrac{\dfrac{2}{3}}{\dfrac{1}{2}}[/tex]

Step 5 - Simplify the above expression.

[tex]x = \dfrac{2}{3}\times\dfrac{2}{1}[/tex]

[tex]\rm x = \dfrac{4}{3}\;walls \;per \;hour[/tex]

Therefore, Dave's rate of completion is 4/3 walls per hour.

For more information, refer to the link given below:

https://brainly.com/question/11258929

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