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Ostrovityanka [42]
3 years ago
14

Plz Help!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

line segments j' k' and m' n' do not intersect and are the same distance apart as jk and mn

Step-by-step explanation:

this is because if jk and mn are both moved to the left two units, the space between them does not change

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Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units. What would be the perimeters of the
Dmitriy789 [7]

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

5 0
3 years ago
The expression 10a+6c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
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Yikez that’s really hard
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9. A store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of jeans for $62.50, what
Serga [27]

Answer:

B. 12.50.

Step-by-step explanation:

62.50 x .20 = 12.5

Hope this helps and good luck.

3 0
3 years ago
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14 divided 4 and 7/8 written in simplest form
Elan Coil [88]

Answer:

7 and that is its simplest form

Step-by-step explanation:

thank me later

7 0
2 years ago
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A culture of bacteria has an initial population of 640 bacteria and doubles every 2 hours. Using the formula P_t = P_0\cdot 2^{\
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Answer:

Pt= 7240.7734 ≈ 7241

Step-by-step explanation:

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