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sergeinik [125]
3 years ago
14

LMNO is a parallelogram. Determine the length of side LM

Mathematics
1 answer:
kherson [118]3 years ago
8 0

Answer:

  LM = 23

Step-by-step explanation:

Opposite sides of a parallelogram are the same length, so you can use sides LO and MN to find the value of x:

  21 = 4x -7

  28 = 4x

  7 = x

Then use that value in the expression for the side length NO:

  NO = 3x +2 = 3·7 +2 = 23

Since LM is the same length as NO, LM = 23.

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The length of a rectangular picture frame is 2 inches shorter than its width. If the perimeter of
jok3333 [9.3K]

Answer:

Length = 12 inches

Width = 14 inches

Step-by-step explanation:

Formula for perimeter of a rectangle is;

P = 2(L + W)

Where;

L is length

W is width

We are told that the length is 2 inches shorter than its width. Thus;

L = (W - 2)

Thus,perimeter is now;

P = 2(W - 2 + W)

P = 2(2W - 2)

P = 4W - 4

We are told that the perimeter is 52. Thus;

4W - 4 = 52

4W = 52 + 4

4W = 56

W = 56/4

W = 14 inches

From L = (W - 2) ;

L = 14 - 2

L = 12 inches

3 0
3 years ago
What is the diameter of a sphere with a volume of 15276 cm", to the nearest tenth
poizon [28]

Answer:

15.4

Step-by-step explanation:

15276 = 4/3 πr³

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3646.88 = r³

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5 0
3 years ago
Read 2 more answers
Solve the equation<br> 5x+6=2(2x - 3)<br> X=
Serga [27]

Answer:

x =  - 12

Step-by-step explanation:

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7 0
2 years ago
An element with mass 330 grams decays by 25. 5% per minute. How much of the element is remaining after 5 minutes, to the nearest
yaroslaw [1]

The amount of mass after 5 minutes is 75.74 grams.

It is given that

The amount initially = 330grams

After every minute mass decays by 25.5%

<h3>What is the percentage?</h3>

The percentage is the value per hundred.

Amount after 1 min = 330-330*25.5/100 = 245.85grams

Amount after 2 min = 245.85-245.85*25.5/100 = 183.16grams

Amount after 3min = 183.16-183.16*25.5/100 = 136.45grams

Amount after 4 min = 136.45-136.45*25.5/100= 101.66grams

Amount after 5 min =101.66-101.66*25.5/100 = 75.74grams

Therefore, the amount of mass after 5 minutes is 75.74 grams.

To get more about percentage visit:

brainly.com/question/24304697

7 0
2 years ago
5 + 8n = 7(-7 + 4n) -6
Luba_88 [7]

Answer:

n = 3

Step-by-step explanation:

Given

5 + 8n = 7(- 7 + 4n) - 6 ← distribute parenthesis on right side

5 + 8n = - 49 + 28n - 6 ( subtract 28n from both sides )

5 - 20n = - 55 ( subtract 5 from both sides )

- 20n = - 60 ( divide both sides by - 20 )

n = \frac{-60}{-20} = 3

6 0
3 years ago
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