The diagonals of a rectangle measure x+5 feet and 2x+1 feet what is the value of x?

Answers

Answer 1

The value of x is 4.

Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.

The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.

In the given figure ABCD is a rectangle.

OA=2x+1 and OD=x+5             [Given]

AC and BD are diagonals of a rectangle.

As we know that the diagonals of a rectangle are always equal.

So, AC = BD

We can also write it as,

2×OA=2×OD

2×(2x+1) =2×(x+5)

Apply the distributive property a(b+c)=ab+ac, we get

4x+2=2x+10

Subtract 2x from both sides, we get

4x+2-2x=2x+10-2x

2x+2=10

Subtract 2 from both sides, we get

2x+2-2=10-2

2x=8

Divide both sides by 2, we get

2x/x=8/2

x=4

Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.

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The Diagonals Of A Rectangle Measure X+5 Feet And 2x+1 Feet What Is The Value Of X?

Related Questions

plz answer.

6-x=13. ​

Answers

Answer:

x=-19

Step-by-step explanation:

Answer:

6-x=13

6-13=x

x=6-13

x=-7

A clothing store sells clothing for 2 times the wholesale plus $10. The store sells a pair of pants to customers for $48. How much did the store pay wholesalefor the pants?

Answers

Answer:

19$

Step-by-step explanation:

Let w represent the wholesale cost of the pants, or the price paid by the store

2w + 10 = 48 Subtract 10 from both sides.

2w = 38 Divide both sides by 2.

w = 19

The entire digits of pie times the square root of 1

Answers

Answer:

3.1415926

Step-by-step explanation:

3.1415926 * 1 = 3.1415926

Answer:

g4 bk.58i

Step-by-step explanation:

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room​

Answers

Answer:

Given :-

the length of a room is 2 m longer than its breadth .if the area of its floor is 63 sq.m.calculate the length and the breadth of the room

To Find :-

Length and breadth

Answer :-

Let the length and breadth be l + 2 and l

Now,

[tex] \large \sf \: Area = l + 2 \times l [/tex]

[tex] \large \sf \: 63 = l + 2 \times \: l[/tex]

[tex] \large \sf \: 63 = 2l + {l}^{2} [/tex]

[tex] \large \sf \: {l}^{2} + 2l - 63 = 0[/tex]

[tex] \large \sf \: {l}^{2} (9l - 7l) - 63 = 0[/tex]

[tex] \large \sf \: l(l + 9) - 7(l + 9)[/tex]

Either

[tex] \large \sf \: l = - 9[/tex]

or,

[tex] \large \sf \: l = 7[/tex]

Length can't be negative,

So,

L = 9

B = 7

Please mark as brainliest :)

Can you answer this for 20 points? With which countries was France at war in 1792 and 1793?

Answers

Answer:

They pitted France against Great Britain, the Holy Roman Empire, Prussia, Russia, and several other monarchies. They are divided in two periods: the War of the First Coalition (1792–97) and the War of the Second Coalition (1798–1802)

Step-by-step explanation:

Angel repairs used furniture. He expects to use 48 oz of wood filler this month. There are 16 oz in 1 lb. How many pounds of wood filler does Angel expect to use this month?

Answers

Answer: 3

Step-by-step explanation:

48 divided by 16 is 3

The number of pounds expected to use this month is 3 pounds.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

16 oz = 1 lb

Multiply 3 on both sides.

48 oz = 3 lb

Thus,

3 pounds of wood is in 48 oz.

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pls help me with this I have to go to bed soon( I need the volume of the sphere)

Answers

Volume= 4/3πr^3

r = 18m

Volume = 4/3*3.14*18^3

Volume = 4/3*3.14*5832

Volume= 24416.639999 m^3

The coordinates of the vertices of △UVW are U(−2,−1), V(2,−1), and W(2,−8). Find the side lengths to the nearest hundredth and the angle measures to the nearest degree.

Answers

Answer:

UV = 4; VW = 7, UW ≈ 8.06

m∠V = 90°, m∠U ≈ 60°, m∠W ≈ 30°

Step-by-step explanation:

Using the distance formula, find the length of UW⎯⎯⎯⎯⎯⎯⎯.

UW=(2−(−2))2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UW=(4)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

UW=16+49‾‾‾‾‾‾‾√

Simplify.

UW=65‾‾‾√

Use a calculator to approximate.

UW≈8.06

Therefore, UW≈8.06.

Using the distance formula, find the length of UV⎯⎯⎯⎯⎯⎯.

UV=(2−(−2))2+(−1−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

UV=(4)2+(0)2‾‾‾‾‾‾‾‾‾‾√

Square.

UV=16+0‾‾‾‾‾‾√

Simplify.

UV=16‾‾‾√

Simplify.

UV=4

Therefore, UV=4.

Using the distance formula, find the length of VW⎯⎯⎯⎯⎯⎯.

VW=(2−2)2+(−8−(−1))2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√

Simplify.

VW=(0)2+(−7)2‾‾‾‾‾‾‾‾‾‾‾‾√

Square.

VW=0+49‾‾‾‾‾‾√

Simplify.

VW=49‾‾‾√

Simplify.

VW=7

Therefore, VW=7.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. The length of segment U V is 4 units. The length of segment V W is 7 units. The length of segment U W is 8.06 units.

Notice that UW2=UV2+VW2. So, by the Converse of the Pythagorean Theorem, △UVW is a right triangle.

Since VW⎯⎯⎯⎯⎯⎯ and UV⎯⎯⎯⎯⎯⎯ are perpendicular, m∠V=90°.

Therefore, m∠V=90°.

By the definition of tangent, tan∠U=VWUV.

Take the inverse tangent of both sides.

m∠U=tan−1(VWUV)

Substitute 7 for VW and 4 for UV.

m∠U=tan−1(74)

Use a calculator to calculate the inverse tangent.

The figure shows a calculator screen on which the inverse tangent of seven fourths is calculated. The result of the calculation is 60 point 2 5 5 1 1 8 7.

m∠U≈60°

Therefore, m∠U≈60°.

The figure shows the same triangle U V W on a Cartesian plane as in the beginning of the task. Angle V is a right angle. Angle U measures 60 degrees.

The acute angles of a right triangle are complementary by the corollary of the Triangle Sum Theorem.

So, m∠U+m∠W=90°.

Substitute 60° for m∠U.

60°+m∠W≈90°

Subtract 60° from both sides.

m∠W≈90°−60°

Simplify.

m∠W≈30°

Therefore, m∠W≈30°.

can someone help me out?
"match each equation with its three solutions"​

Answers

Answer:

Step-by-step explanation:

A. (1)

B. (4)

C. (2)

D. (5)

E. (3)

For questions 7 and 8 find the unknown angle.

Answers

Answer:

58 degrees for Question 7, and 71 degrees for Question 8

Step-by-step explanation:

For question 7:

180 - 99 = 81

81 + 41 = 122

180 - 122 = 58

For Question 8:

142 / 2 = 71

Answer: 7) 58 degrees 8) 71 degrees

Step-by-step explanation:

7) 41 + x = 99 degrees (the two interior opposite angle is equal to the exterior angle)

subtract 41 on both sides

x = (99 - 41) degrees

x = 58 degrees

8) x + x = 142 degrees

2x = 142

divide 2 on both sides

x = 71 degrees

A CIRCLE HAS A CIRCUMFENCE 43.96 YD FIND THE RADUIS OF THE CIRCLE

Answers

Answer:

≈ 7

Step-by-step explanation:

The y-intercept of the the inverse of the function f(x) = 1/4 x-9/4 is

Answers

Answer:

Since f(x) is a linear equation the graph of f(x) is a line with a slope of –3/4 and a yintercept of (0, 2). In looking at the graph, you can see that ...

Answer the following question in *full sentences*

What does the equation 100+0.05p=0.25p represent?

Answers

The value of "p" will be "0.002".

Equation:

According to the question,

[tex]100+0.05p=0.25p[/tex]

By subtracting "0.25p" from both sides, we get

→ [tex]100+0.05p-0.25p=0.25p-0.25p[/tex]

                 [tex]100-0.2p=0[/tex]

                            [tex]100=0.2p[/tex]

                               [tex]p = \frac{0.2}{100}[/tex]

                                  [tex]= 0.002[/tex]

Thus the above approach is right.

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Rearrange p=r+3 to make r the subject

Answers

Answer:

r = p-3 this is correct answer of this question

The equation  p=r+3 can be rearranged as r=p-3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is p=r+3

p equal to r plus r

Plus is the operator of addition and p and r are variables

Subtracting 3 from both sides, we get:

p - 3 = r + 3 - 3

Simplifying the right-hand side:

p - 3 = r

Therefore, r = p - 3.

Hence, the equation  p=r+3 can be rearranged as r=p-3

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please help me with this

Answers

Answer:

D. [tex]\sqrt{250}[/tex]

Step-by-step explanation:

First, use prime factorization of 250 to get [tex]\sqrt{2*5^3}[/tex]

Then apply the exponent rule, [tex]a^{b+c} =a^{b}*a^{c}[/tex]

=[tex]\sqrt{2*5^2*5} }[/tex]

Apply radical rule: [tex]\sqrt{ab}= \sqrt{a} \sqrt{b}, a\geq 0, b\geq 0[/tex]

=[tex]\sqrt{5^{2}} \sqrt{2*5}[/tex]

Apply radical rule: [tex]\sqrt{a^{2}} =a, a\geq 0[/tex]

=5[tex]\sqrt{2*5}[/tex]

=5[tex]\sqrt{10}[/tex]

Answer:

D. I did the math on my calculator

Look at the arithmetic sequence below and select the correct recursive and explicit formula for the sequence.

-1, 3, 7, 11...



Recursive Formula: Response area

Explicit Formula:

Answers

Answer:

+4 each time

Step-by-step explanation:

316 students went on a field trip. Six buses were filled and 10 students traveled in cars. How many students
were in each bus?

Answers

Answer:

51

Step-by-step explanation:

316-10= 306

306 divided by 6 = 51

A rectangle has a length of (x + 6) units and a width of (x - 5) units. What is the area of the rectangle in terms of x?

Answers

Answer:

Area = x2 +x - 30

Step-by-step explanation:

area = length x width

(x+6) (x-5) = x2 +6x -5x -30  =  x2 + x -30

Math Teacher is giving extra credit to who ever can come up with the best theme for his kids birthday party!!!
Has to be a movie!


You can choose

A. Hunger Games

B. Men in Black

C. Classic Horror Movies

D. Jurassic Park


OR!!

Awnser With your own suggestion!!!!!!!

Answers

Hunger games or go with the person’s favorite movie or show :)

Answer:

C

Step-by-step explanation:

CLASSIC HORROR MOVIES

Which linear inequality best represents the graph shown?

Answers

Answer:

B

Step-by-step explanation:

Find the equation of the line that passes through both points (6,-5) (0,3)

Answers

Answer:

y = -4/3x + 3

Step-by-step explanation:

brainliest to whoever can answer questions correctly ​

Answers

Answer:

Have you tried 5 x pi?

Good luck! Hope that helps!

PLEASE HELP!! WILL MAKE BRAINLIEST!! What is..... 3.064 x 1,000

Answers

Answer: 3,064

The easiest way to solve (in my opinion) is to move the decimal to the right the number of zeros.

So, because 1,000 has 3 zeros you can move the decimal place to right 3 places. The 3.064 will become 3,064 then.

On which number line do the points represent negative seven and one over two and +1? (4 points)

Answers

Answer:

A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers.

Answer:A i did the test i got A correct

Step-by-step explanation:

Please answer this!!!
Will be Brainlist!!!

Answers

Answer:

show the question

sorry

Step-by-step explanation:

plz follow me

Answer:

1) а 2)b

вот правильный ответ

Pedro tiene 335 en monedas de 5 y de 10, si en total tiene 52 monedas ¿cuantas monedas tiene de cada una?

ayuda por favor​

Answers

Answer:

37 monedas de $5 y 15 monedas de $10

Step-by-step explanation:

37 x 5 = 185

15 x 10 = 150

185 + 150 = $335

pease say if i got it right

Answers

Answer:

It is not correct. It should be A.

Step-by-step explanation:

u can use desmos to check ur answer

I NEED HELP NOW ITS DUE TODAY AND I HAVE MORE AHHHHHHHHH
Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?

Answers

Answer:

She has $5

Step-by-step explanation:

5$ if it helps with any other questions you can search for example what is ——% of —— and you will get the answer easier
Hope this helps!

Give the least common denominator: 3/4, 7/8 _____

Answers

Step-by-step explanation:

step 1. LCD of 3/4 and 7/8 is 8.

In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

I. Exponential Growth. (1 ) t y C r. = +. Final. Amount. Initial. Amount. Rate of ... value increases by 7% each year. ... Step 1 Write the exponential growth function for this ... nearest hundredth. ... The population after 7 years will be approximately 38,783 people. ... Cesium-137 left from a 100 milligram sample after 180 year

Step-by-step explanation:

i think  its right  if not have  a  great  day

Answer:

9800

Step-by-step explanation:

Other Questions
The nth term of a sequence is 2n2 - 4n+4 Work out the 8th term of the sequence. 8th term= Submit Answer Skip for Now 1. A major city in the country (for example, its capital city) is _______________________. At the trial of a contract dispute, the plaintiff has offered to testify to what she heard the defendant say in a private conversation between the two of them, which the plaintiff secretly recorded on an audiotape that she did not offer in evidence. Is the plaintiff's testimony admissible Which of the following shows the graph of y= 2e^x? Rationalize the denominator:GRADE 9CBSE In a common reflex arc, after a sensory nerve signal is processed by interneurons in the integration center, where does the signal go next? How would the sensory homunculus of the giraffe be different than a human's? With respect to a hypothetical rabies investigation conducted among veterinary workers (Dr. Spot, 2003), researchers found that rabies was almost always fatal. This finding refers to: What are the difference between Macro and Micro groups! Identify the ways that the iroquois league differed from the majority of native american societies that english settlers encountered. Claim: A majority of adults would erase all of their personal information online if they could. A software firm survey of 576 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Complete parts (a) and (b) below.a. Express the original claim in symbolic form. Let the parameter represent the adults that would erase their personal information.b. identify the null and alternate hypothesis The nurse notes the listed assessment findings in a newborn. Which finding correlates with a glucose level for a newborn is 39 mg/dl (2.16 mmol/l). Out of a sample 650 high school students, 321 take the bus to school every day. construct a 99% confidence interval for the population mean of high school students that take the bus to school every day. a.ci=(43.23%,51.18%) b.ci=(44.34%, 54.43%) c.ci=(45.54%, 53.23%) d.ci=(46.16%,52.16%) Find the equation of the line that passes through (-1,2) and is perpendicular to y =2x+1 . Leave your answer in the form y = m x + c What ingredient in the skin is lost causing the dermal fat to push into the dermis? What two activities are included in the preapproach stage of the personal selling process? As a pendulum moves toward the equilibrium position, velocity and acceleration . As the pendulum moves away from the equilibrium position, velocity and acceleration . Velocity is at a when acceleration is zero. Discovery of a vulnerability in a software program can potentially be sold to the government. Group of answer choices True False Due date: [Will be announced on myUnisa] On pages 58-59 of Small Things, the narrator describes several different art and entertainment performances at the Hugh Masekela Music Academy. His description could be read as a portrayal of Johannesburg as an affluent and cosmopolitan city that has changed for the better since 1994. However, in other parts of the novel, there are many descriptions of the city that remind us as readers that enormous inequality persists in South Africa. Inequality and class are two of the important themes in Small Things. Using the extract detailed below as a starting point, write an essay in which you discuss the ways in which inequality and class are depicted in the novel. Focus especially on aspects of setting, as perceived by the Showd narrator. Prison The extract you are expected to use begins on p. 58 of the novel with the words, "I dine at a window table..." (p. 58). The extract ends on p. 59 with the words, "A thick glass separates us" (Mohlele, 2013:58-59). Before you start writing your essay, you should: 1. Revise the sections on 'Setting', 'Narrative perspective' and 'Theme' in Units 3 and 4 of Tutorial Letter 501. 2. Perform a close reading of the extract above, paying careful attention to diction. Identify how the themes of inequality and class are explored in the extract and other relevant parts of the novel. Pay specific attention to how these themes feature in the different settings featured in the novel, and how the narrator sees and experiences these settings. The radius of a circle is 58 centimeters. enter the circumference of the circle