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3 years ago

According to the Venn diagram what type of parallelogram is both a rectangle and a rhombus

Mathematics

2 answers:

julia-pushkina [17]3 years ago

7 0

According to the properties of a parallelogram.

Its opposite angles are equal and its opposite sides are also equal.

Now for a parallelogram to be a rectangle,

All its angles must be 90°.

But we also want the parallelogram to be a rhombus, which means all its sides must be equal.

Now any rectangle whose all sides are equal becomes a square.

And so parallelogram which is both a rectangle and a rhombus is a SQUARE.

Brut [27]3 years ago

4 0

A square can be both a rectangle and a rhombus

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Answer:

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Step-by-step explanation:

i think you mean 3^x (and not 3x).

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3^-2 = 1/(3²) = 1/9

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2 years ago

1. Solve the following equation.(MAFS.8.EE.3.7) 5(3x + 7) + 2x = 7x – 5(–2x + 9)

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Answer:

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Step-by-step explanation:

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15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45

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3 Simplify 7x+10x-457x+10x−45 to 17x-4517x−45.

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4 Cancel 17x17x on both sides.

35=-4535=−45

5 Since 35=-4535=−45 is false, there is no solution.

No Solution

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2 years ago

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Step-by-step explanation:

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3 years ago

What was the total production of gasoline and kerosene combined (in Barrels)

Elina [12.6K]

The amount of kerosene and gasoline produced is an illustration of equations.

44.4 million barrels of gasoline and kerosene are produced

Let

$x \to$ Proportion of kerosene

$y \to$ Proportion of Gasoline

So:

$x = 40\%$

$y = 34\%$

$Total = 60\ million$ ---- total barrels produced

The amount of Kerosene produced is:

$Kerosene =x \times Total$

$Kerosene =40\% \times 60\ million$

$Kerosene = 24\ million$

The amount of Gasoline produced is:

$Gasoline =y \times Total$

$Gasoline =34\% \times 60\ million$

$Gasoline =20.4\ million$

So, the total production of both is:

$Total = Kerosene + Gasolene$

$Total = 24\ million + 20.4\ million$

$Total = 44.4 million$

Hence, 44.4 million barrels of gasoline and kerosene are produced