The perimeter of parallelogram ABCD is 92 cm. AD is 1 cm more than twice AB. Find the lengths of all four sides of ABCD
(1 point)

Answers

Answer 1

Answer:

Step-by-step explanation:

The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = |AD|   (the length of the side AD).

Let y = |AB|   (the length of the adjacent side AB).

Then

2x + 2y = 92   (the perimeter)

x - 2y = 1    ("AD is 1cm more than twice AB.")

Add the two equations (both sides) and get

3x = 92 + 1  --->  3x = 93  --->  x = 93/3--->  x = 31.

Then from the second equation  2y = x - 1 = 30-1 = 30.

Hence, y = 30/2 = 15.

Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.


Related Questions

5/7 + 2/3

Plz Answer

Answers

Answer:

29/21

Step-by-step explanation:

5/7 = 15/21

2/3 = 14/21

Answer:

1.38 or  1 and 1/7

Step-by-step explanation:

5/7 + 2/3

10/21 + 14/21= 24/21

then your have to divide 24 by 21 = 1 and 3/21

then simplify 1 1/7

does this help?

Help me please 9w+4= 2w+32

Answers

Answer:

w=4

Step-by-step explanation:

9w+4=2w+32

-2w     -2w

7w+4=32

     -4   -4

7w=28

w=4

Answer:

w = 4

Step-by-step explanation:

How to solve...

You have your equation 9w + 4 = 2w + 32, now you take 4 and subtract on both sides, so you will subtract it to 4 and 32. You get 28 as your answer. Now leave that alone, next you will take 2w and subtract it on both sides, when you subtract 2w to 9w you will get 7w. Now just do 28 divided by 7, which is 4. So w = 4. Hope this helps!

9w + 4 = 2w + 32

       - 4 =        -   4

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

     9w = 2w + 28

    -2w = -2w + 28

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

     7w = 28

     7w = 7w

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

       w = 4

Please help me please due today

Answers

Answer:

2

Step-by-step explanation:

Use the method [tex]\frac{rise}{run}[/tex].

Both points are 3 across (run), and 6 up (rise).

Plug it in and divide the numbers.

6/3 = 2

Hence, m equals 2.

Plz help I’m in confusion!!!

Answers

324m is the surface area

The ration of child to teen to adult tickets sold at a water park on Saturday was 4:1:2. A total of 294 tickets were sold. How many child tickets were sold?

Answers

Answer:  168 child tickets were sold.

Step-by-step explanation:

Given: The ratio of child to teen to adult tickets sold at a water park on Saturday was 4:1:2.

Let the number of child tickets = 4x , teen tickets = x , adult tickets = 2x

Total tickets = x+4x+2x = 7x =294

[tex]\Rightarrow\ x=\dfrac{294}{7}\\\\\Rightarrow\ x=42[/tex]

Number of child tickets = 4(42) = 168

Hence, 168 child tickets were sold.

100 pts for a few questions Ill give brainliest! (if you answer 5 ?s you get the other 50)

Answers

Answer: ik nothing of basketball sorry

Answer:

11

Step-by-step explanation:

its the most common number

What is 7.4 + ? = 1.

Answers

?= -6.4. The number, negative 6.4 would go where the question mark is.

Write the exponent for the expression.2.78

The exponent for the expression is ___

Answers

Answer:

The exponent for the expression is -8

Step-by-step explanation:

12345689 I just need points

tell me ur white with out saying ur white

Answers

Typing this as an actual answer this time smh:

My house is still decorated for christmas

Answer:

im not black, im the opposite

What is half of 7 5/8 and 5 3/8

Answers

Answer:

6.5

Step-by-step explanation:

7 5/8 + 5 3/8= 13

13/2=6.5

The missing number in the arithmetic sequence 60, 51, ___, 33 is:

Answers

Answer:

42

Step-by-step explanation:

In this question, we have the find the rate of change in the sequence.

To find this, we need to find how much the sequence is changing by.

We know from 60 to 51 is -9, so we know that our sequence is changing by -9.

To find our unknown number, we would subtract 9 from 51.

51 - 9 = 42

Our missing number in the sequence is 42.

We can check our answer by subtracting 9 from 42. This gives us our next number, which is 33.

42 would be your answer.

A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?

Answers

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

Use the distributive property to rewrite each expression. 4(5-2y)

Answers

Answer:

20-8y is your answer

Step-by-step explanation:

Q: A is 8km due north of phone mast B. C is 9.5km due west of phone mast B. Calculate the distance AC

Answers

Answer:

AC = 12.4 km (nearest tenth)

Step-by-step explanation:

AC can be calculated by using Pythagorean Theorem.

Thus:

AC² = AB² + BC²

Plug in the values

AC² = 8² + 9.5²

AC + √{154.25)

AC = 12.4 km (nearest tenth)

Calculate the length of the diagonal, d, of this cylinder

Answers

the answer is 10ft hope this helps!

evaluate 40 divided by 8 plus 3 multiplied by 4 multiplied bye 2

Answers

Answer:

29

Step-by-step explanation:

40/8 + 3*4*2 =

5 + 12*2 =

5 + 24 =

29

Answer: GIVE ME BRAINLIEST! THANKS!

29

Step-by-step explanation:

CHECK FO YO SELF BOIIII!!!!!!!!

Which costs the last per ounce, a 20 ounce soda for $0.60, 68 ounce for $2.38, or 100 ounce for $3.32? Explain how you got your answer.

Answers

9514 1404 393

Answer:

  20 oz for $0.60

Step-by-step explanation:

You can determine the least-cost item by comparing costs at the same size. (This can be done using mental arithmetic.)

68 ounces is between 3 and 4 times the size of 20 ounces. If the costs were the same, 68 ounces would cost between 3·$60 = $1.80 and 4·$60 = $2.40. The cost of 68 ounces is closer to $2.40 than 68 is to 80, so we conclude the 20-ounce soda costs less.

The cost of 100 ounces at the 20-ounce price would be 5·$0.60 = $3.00, which is less than the cost of the 100-ounce soda. Again, the 20-ounce soda is cheaper.

The least cost per ounce is the 20-ounce soda.

__

If you like, you can actually find the cost per ounce by dividing the cost by the ounces. Those results are shown in the attached table. The 20-ounce soda costs the least.

I need help, i don’t understand if

Answers

Answer:

(6,6)

Step-by-step explanation:

Hope this helps!

12. Which of these is an algebraic
expression?
A 3 - 1.4
B 1.4 - 3
C 1.4 - n
D 1.4 + 3

Answers

Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!

Please help me. Wich one is correct.

Answers

Answer:

100(x-3)

Step-by-step explanation:

100x - 300= 100x - 3×100

= 100(x-3)

by the way the third expression is true too

Samantha makes a conjecture that the product of two odd integers is always an odd integer. Which choice is the best proof of her conjecture? CLEAR CHECK Look at these different examples: 7 × 3 = 21, 5 × 9 = 45, 11 × 3 = 33. So the product of two odd numbers must be odd. Every time you multiply two odd numbers, the product is an odd number. Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number. Let a and b both represent odd numbers, and let a × b be an odd number. Therefore, a × b = b × a, which shows that the product of two odd numbers is odd.

Answers

Answer:

Let (2a + 1) be an odd number. Let (2b + 1) be another odd number. The product 2(2ab + a + b) + 1 is a multiple of 2 plus 1, which is an odd number.

Step-by-step explanation:

I NEED THIS PLEASE NOW RIGHT NOW

Answers

Answer:

The answer to the question provided is letter B.

Answer: The answer for this problem would be (B). -_-

Step-by-step explanation:

NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.

Answers

Answer:

Step-by-step explanation:

P= a+b+c

P= 1512+223+314

=2049

Given the following sequence, which other representations below represent the SAME sequence?

Answers

Answer:

...

Step-by-step explanation:

12x=-4y-8 in slope-intercept form

Answers

Answer:

x=-y

Step-by-step explanation:

30 points! See pic attached. Will mark brainliest.

Answers

Answer:

Step-by-step explanation:

i think it a c e i hope this helps :^

answer: D,B,C

Step-by-step explanation:

line A is perpendicular to B and line A and B is parallel to line C

8cm
20cm
What is the volume of this cylinder?

Answers

Answer:

4021.2386 cm ^3

Step-by-step explanation:

V = πr2h = π·82·20 = 4021.2386 cm ^3

someone please help me this is really confusing

Answers

Answer:

Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

Step-by-step explanation:

Image 1:

We need to Find area of trapezoid.

The formula used is: [tex]Area=\frac{1}{2}h(b_1+b_2)[/tex]

where h is height and b₁ and b₂ are parallel sides.

Looking at the figure we get:

h = 2xy

b₁ = 4x²y

b₂ = 7x²y

Putting values and finding area:

[tex]Area=\frac{1}{2}h(b_1+b_2)\\Area=\frac{1}{2}\times 2xy(7x^2y+4x^2y)\\Area=\frac{1}{2}\times 2xy(11x^2y)\\Area=\frac{1}{2}\times 22x^3y^2\\Area=11x^3y^2[/tex]

So, Area of trapezoid is: [tex]\mathbf{11x^3y^2}[/tex]

Image 2:

We need to find area and perimeter of triangle.

First we will find area of triangle.

The formula used is: [tex]Area=\frac{1}{2}\times b \times h[/tex]

where b is base and h is height

Looking at the figure,

b = 3ab

h = 4a²b

Finding area:

[tex]Area=\frac{1}{2}\times b \times h\\Area=\frac{1}{2}\times 3ab \times 4a^2b\\Area=\frac{1}{2}\times 12a^3b^2\\Area=6a^3b^2[/tex]

So, Area of triangle is: [tex]\mathbf{6a^3b^2}[/tex]

Now, finding Perimeter of triangle

The formula used is: [tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle[/tex]

Looking at figure:

Length of side 1 = 3ab

Length of side 2 = 4a²b

Length of side 3 = 10a²b

Finding Perimeter

[tex]Perimeter = Sum\:of\:lengths\:of\:all\:sides\:of\:triangle\\Perimeter = 3ab+10a^2b+4a^2b\\Perimeter=3ab+14a^2b[/tex]

So, Perimeter of triangle is: [tex]\mathbf{3ab+14a^2b}[/tex]

What is -1/8 divided by -1/6

Answers

it’s 3/4 you’re welcome :)

What is the equation of a line that passes through (1,2) and has a slope of 7?
Write your answer in the slope -intercept format, y=mx+b.
Pls help

Answers

ANSWER: y=7x-5 i put it in a graphing calculator
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