a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1, are the two shape equal in perimeter?

Answers

Answer 1

Answer:

YES

Step-by-step explanation:

Rectangle: (n)+(n)+(n+2)+(n+2)=4n+4

Square: (n+1)+(n+1)+(n+1)+(n+1)=4n+4

4n+4=4n+4

Yes, they are equal in perimeter.

Answer 2

Answer:

they have equal perimeter.

Step-by-step explanation:

perimeter :-

.Rectangle=2(n+2+n)=2(2n+2)=4(n+1)

Square=4(n+1)


Related Questions

The transitive property of equality states that _____. if a = b, then b = a if a = b, then ac = bc if a = b and b = c, then a = c if a = b and c = c, then a + b = b + c

Answers

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

The transitive property of equality tells us that if we have two things that are equal to each other and the second thing is equal to a third thing, then the first thing is also equal to the third thing.

Answer:

If a = b and b = c, then a = c

Step-by-step explanation:

i got it right on a test

At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. there are 15

Answers

Details are missing;

A board of 15 balloons. 4 are purple, 3 red, 4 blue, 2 yellow and 2 green

Answer:

the probability that both the balloons you break are purple = 2/35

Step-by-step explanation:

Since there are 15 balloons and 4 are purple. It means that probability of the first balloon being purple is;

4/15

Now, if the first balloon is purple, it means we have 3 purple left out of the remaining 14. Thus probability of the second being purple = 3/14

Thus;

the probability that both the balloons you break are purple = 4/15 × 3/14 = 2/35

5. If median =137 and mean = 137.05, then find the value of mode. (2marks)

Answers

Answer:- 136.9

Step-by-step explanation:

3median=2mean+mode

3(137)=2(137.05)+mode

411=274.1+mode

411-274.1=mode

mode=136.9

- Suppose Q is the midpoint of PR. Use the information to find the missing value. PQ = 3x + 14 and QR = 7x - 10; Find x.​

Answers

Answer:

x =6

Step-by-step explanation:  Q is the midpoint of PR.

Therefore PQ = QR

3 x + 14 = 7 x -10

       -14          -14

3 x         = 7 x-24

-7x                 -7x

-4x     =      -24                             Divide both sides by -4

x = 6

The value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.

What is midpoint of line segment?

The midpoint divides the line segment into two equal parts.

It is given that Q is the midpoint of PR which implies Q will divide PQ into two equal parts that is PQ (3x+14) equals QR (7x-10). now calculating x value  :

[tex]\begin{aligned}PQ&=QR\\3x+14&=7x-10\\7x-3x&=14+10\\4x&=24\\x&=6\end{aligned}[/tex]

Therefore, the value of x for PQ = 3x + 14 and QR = 7x - 10 is 6 units.

Read more about intersection at:

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Point C is on line segment \overline{BD} BD . Given BC=x+4,BC=x+4, CD=5x,CD=5x, and BD=5x+7,BD=5x+7, determine the numerical length of \overline{CD}. CD .

Answers

Answer:

[tex]CD = 15[/tex]

Step-by-step explanation:

Given

[tex]BC = x + 4[/tex]

[tex]CD = 5x[/tex]

[tex]BD = 5x + 7[/tex]

Required

Determine CD

Since Point C is on segment BD, then we have

[tex]BD = BC + CD[/tex]

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

[tex]5x + 7 = x + 4 + 5x[/tex]

Collect Like Terms

[tex]5x - 5x - x = 4 - 7[/tex]

[tex]- x = -3[/tex]

Multiply both sides by -1

[tex]x = 3[/tex]

Substitute 3 for x in [tex]CD = 5x[/tex]

[tex]CD = 5(3)[/tex]

[tex]CD = 15[/tex]

Hence, the length of CD is 15 units

Answer:

Step-by-step explanation:

Given

Required

Determine CD

Since Point C is on segment BD, then we have

Substitute x + 4 for BC; 5x for CD and 5x + 7 for BD

Collect Like Terms

Multiply both sides by -1

Substitute 3 for x in  

Hence, the length of CD is 15 units

Step-by-step explanation:

A bike shop rents bikes for $4.50 per hour, plus a $7.50 insurance charge. For how many hours can Peter rent a bike if he has $30?

Answers

Answer:

With $30, Peter can afford 5 hours

Step-by-step explanation:

Given

Insurance Charge = $7.5

Charges = $4.5 per hour

Required

Determine the number of hours $30 can afford

First, we need to determine the equation.

Total Charges = Charges per hour + Insurance Charge

Substitute values for Charges per hour and Insurance Charge

Total Charges = 4.5 per hour + 7.5

Let the number of hours be n;

So,

Total Charges = 4.5n + 7.5

To calculate Peter's; substitute 30 for total charges

[tex]30 = 4.5n + 7.5[/tex]

Subtract 7.5 from both sides

[tex]4.5n = 30 - 7.5[/tex]

[tex]4.5n = 22.5[/tex]

Divide both sides by 4.5

[tex]n = \frac{22.5}{4.5}[/tex]

[tex]n = 5[/tex]

Hence;

With $30, Peter can afford 5 hours

Solving the equation x + 2(x – 5) = 320
will need the following steps:
1. x + 2x + 10 = 320
II. 3x + 10 = 320
III.
3x = 310
310
IV.
x =
3
Which step above is incorrect?
A Step
B Step III
C Step IV
D All steps are correct
Lo

Answers

Answer:

   A.  Step I

Step-by-step explanation:

Appropriate application of the distributive property would give ...

  x +2x -10 = 320 . . . . . . . does not match step I

Further solution steps would be ...

  3x -10 = 320

  3x = 330

  x = 110

5. What are the names of the segments ?
6. What are the names of the rays ?

Answers

DE +EF for segments
DF

Answer:

de ef     and  df

Step-by-step explanation:

What is the circumference of this circle?

Answers

Answer:

B) 12.56

Step-by-step explanation:

The formula for circumference of a circle is 2πr.

Substitute r for 2 and it becomes 4π.

4π ≈ 12.56

Answer: is 12.56

Step-by-step explanation:

What is equivalent to 5.08 cm

Answers

Answer:

2 in

Step-by-step explanation:

This is URGENT! Please help me solve this question with full solutions

Answers

Answer:

B

Step-by-step explanation:

Given

[tex]\frac{1}{(t-2)^2}[/tex] = 6 + [tex]\frac{1}{(t-2)}[/tex] ( multiply through by (t - 2)²

1 = 6(t - 2)² + t - 2 ← distribute parenthesis and simplify

1 = 6(t² - 4t + 4) + t - 2

1 = 6t² - 24t + 24 + t - 2

1 = 6t² - 23t + 22 ( subtract 1 from both sides )

6t² - 23t + 21 = 0 ← in standard form

(2t - 3)(3t - 7) = 0 → in factored form

Equate each factor to zero and solve for t

2t - 3 = 0 ⇒ 2t = 3 ⇒ t = [tex]\frac{3}{2}[/tex] ← p

3t - 7 = 0 ⇒ 3t = 7 ⇒ t = [tex]\frac{7}{3}[/tex]  ← q

Thus

p × q = [tex]\frac{3}{2}[/tex] × [tex]\frac{7}{3}[/tex] = [tex]\frac{21}{6}[/tex] = [tex]\frac{7}{2}[/tex] → B

(Giving Branliest)
The length of a desk is 3.5 feet. How many centimeters is the length? (There are 2.54 cm in an inch)
A. 60
B. 117.12
C. 120.23
D. 106.68

Answers

Answer:

106.68 cm

Step-by-step explanation:

Change ft to inches

3.5 ft * 12 inches / 1 ft = 42 inches

Change inches to cm

42 inches * 2.54 cm/ inch =106.68 cm

Answer:

106.68cm

Step-by-step explanation:

divide by feet untill you get inches

Georgette created a factor tree and wrote the prime factorization of 72 shown here. A factor tree of 72. 72 branches to 8 and 9. 8 branches to 2 and 4. 4 branches to 2 and 2. 72 = 23 × 9 What is Georgette’s error? A. Georgette should have started the factor tree with 2 × 36. B. Georgette did not complete the factorization; 9 is a composite number. C. Georgette should have expressed 4 as 4 x 1, not 2 x 2. D. Georgette should have expressed 8 as 4 × 4, not 2 × 4.

Answers

Answer:

Georgette did not complete the factorization; 9 is a composite number.

Step-by-step explanation:

9 can be broken down to 3x3

So it the prime factorization of 72 should be 2x2x2x3x3

Georgette’s error is Georgette should have expressed 8 as 4 × 4, not 2 × 4.

The correct option is D.

The correct prime factorization of 72 is 2³ × 3², which means it can be expressed as the product of prime numbers raised to their respective exponents.

Analyzing the factor tree provided by Georgette, we can see that she made an error when branching from 72 to 8 and 9.

The prime factorization of 8 should be 2³, not 2 × 4, and the prime factorization of 9 should be 3², not 2 × 2.

Therefore, Georgette's error is that she have expressed 8 as 2³ × 1 or 4 × 2, not as 2 × 4.

The correct factor tree for 72 would be:

    72

  /  \

2   36

    / \

   2   18

       / \

      2   9

          / \

         3   3

So, the prime factorization of 72 is 2³ × 3².

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18 = 3(3x − 6) multi step equations show all steps pls

Answers

Answer:

x=4

Step-by-step explanation:

18 = 3(3x − 6)

Divide each side by 3

18/3 = 3( 3x-6)/3

6 = 3x-6

Add 6 to each side

6+6 = 3x-6+6

12 = 3x

Divide by 3

12/3 = 3x/3

4 =x

Answer: 4 = x

Step-by-step explanation: To solve this equation, we start by

distributing the 3 through the parenthses on the right side.

3(3x) is 9x and 3(-6) is -18.

So our equation now reads 18 = 9x - 18.

Our next step is to get the x term by itself on the right side.

So we add 18 to both sides to get 36 = 9x.

Now divide both sides by 9 to get 4 = x.

Mrs. Kim spent $4.77 on her favorite imported cheese. She bought 9/10 of a pound. Find how much cheese cost per pound.

Answers

4.77x10= 47.7/9 = 5.30. 1 pound cost $5.30

What is the opposite value of -53 ?

Answers

Answer:

53

Step-by-step explanation:

Answer: Opposite of -53 = -(53) = 53

Step-by-step explanation: An opposite number of n is the exact same number as n on the other side of the number line. the opposite of n is n.

This equation shows how the total cost of visiting the art museum as a member is related to the number of visits. c = v + 11 The variable v represents the number of visits to the art museum, and the variable c represents the total cost of those visits. What is the maximum number of visits a member of the art museum can make for a total cost of $14?

Answers

Answer:

6

Step-by-step explanation:

C=9.2v + 21.2

76.4 = 9.2v + 21.2

76.4 - 21.2 = 9.2v

55.2 = 9.2v

v= 55.2 / 9.2 = 6

Wyatt is training for a race. He will run 3
4
of a mile a day for 8 days. How far will Wyatt run altogether?


Answers

you take 3/4 and multiply that by eight and you’ll get 6

Answer: 6 OR 6/1

3         8             24            6

-    x     -    =        _     =       -     OR 6

4          1              4              1

Step-by-step explanation: Hope this helps!  ~Pooch ♥

square root of 87 to the nearest 10th

Answers

Answer:

9.3

Step-by-step explanation:

Step 1: Calculate. We calculate the square root of 87 to be: √87 = 9.32737905308882.

Step 2: Reduce. 9.32.

Step 3: Round. Round 9.32 so you only have one digit after the decimal point to get the answer: 9.3.

What is the arc length S what is shown below?
The angle in the image is a central angle în radians.

Answers

Answer:

  14 cm

Step-by-step explanation:

The applicable formula is ...

  s = rθ

  s = (7 cm)(2) = 14 cm

NEED HELP FAST!!! Determine the momentum: An electron (m= 9.1 x 10-31 kg) moving at 2.18 x 106 m/s (as if it were in a Bohr orbit in the H atom)

Answers

Answer:

p= (9.1 x 10^-31)(2.18 x 10^6)   p = 1.9 x 10^-22kg*m/s

Step-by-step explanation:

for i said so

The momentum of electron is [tex]1.9\times 10^{26}[/tex] kg m per second.

Given, mass of electron is [tex]9.1\times 10^{-31}[/tex] kg.

And its velocity is [tex]2.18 \times 10^6[/tex] m per s.

We have to calculate its momentum.

We know that momentum is numerically equal to the product of mass and velocity of a particle and denoted by p.

So, [tex]p=mv[/tex]

[tex]p= 9.1\times10^{-31}\times2.18\times10^{6}[/tex]

[tex]p=19.838\times10^{25}[/tex]

[tex]p=1.9\times10^{26}[/tex]

Hence the momentum of electron is [tex]1.9\times 10^{26}[/tex] kg m per second.

For more details follow the link:

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Melissa worked to earn $20.00. Alan worked for $12.00 hours. If she earns $2.00 per hour, how many hours did Melissa work?

Answers

Answer: 10 hours

Step-by-step explanation: so if you do 10 times 2.00 it equals 20 dollars or you can divide 20 and 2

??????????????????????????????????????????????????

Answers

1

GIVE ME BRAINLIEST MY GUY PLZ

1 problem

Because there are 13 problem and if she completed 12 of them yesterday .Only 1 will be left for today.

1/2a+6b/7 Verbal Expression?

Answers

Answer:

one half of a plus six times b divided by seven

Step-by-step explanation:

True or False: Segment AB is congruent to segment BC. A B C -2 0 1 3 Select one: True False​

Answers

I believe it’s true not sure tho

A thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit. Write an equation to represent the minimum and maximum actual temperatures when the thermometer states that the temperature is 87.4 degrees Fahrenheit.

Answers

Answer:

The equation is;

T = 87.4 ± 1.5

Maximum value of T = 88.9 °F

Minimum value of T = 85.9 °F

Step-by-step explanation:

We are given the stated temperature as 87.4 °F

Now, we are told that this stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit.

Thus, if the actual temperature is T, it means that T should either be 1.5 more than 87.4 or 1.5 less than 87.4.

Thus the equation is;

87.4 ± 1.5 = T

So maximum value of T = 87.4 + 1.5 = 88.9 °F

While minimum value of T = 87.4 - 1.5 = 85.9 °F

Danny and 4 friend go to the movies. Each person buys a movie ticket for $10, a snack for $2 and a drink for $3. Write an expression which shows how much Danny and his friends spent.

Answers

8000647 dollars

Step-by-step explanation:

broggxtxycycuvuh8y7rtwh4w5iwutettixgdbf

Write 8660 in scientific notation

Answers

Answer:

8.66 x 10^3

Step-by-step explanation:

8.66 * 1000 (10^3) = 8660

8.66 x 10^3
This is the answer

-3(-9v-4)-2(v-2)????

Answers

Answer: 25v+16
Solution: Distribute the -3 to the whole equation in the parenthesis. This will make the equation 27v+12-2(v-2). Do the same thing with the -2 and the other parenthesis. This will make the equation 27v+12-2v+4. Combine like terms. This will make the equation 25v+16.
Hope this helped


A basketball team has 12 members who can play any position. How many different ways can the coach choose 5 starting players

Answers

Dude as a coach man and that’s a tough one but I’d say 7
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