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2 years ago

Which of the following is the equation of a line that is perpendicular to the graph of y=2/5x-1

Mathematics

1 answer:

monitta2 years ago

8 0

Where is the line...................

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2 years ago

∠A and ∠B are vertical angles. If ∠A=8x+14 and ∠B=2x+50, what is m∠B?

Maslowich

Answer:

∠B = 62°

Step-by-step explanation:

Because ∠A and ∠B are vertical angles they are equal hence we can write

∠A = ∠B

8x + 14 = 2x + 50

Now we have to solve for x

To do so, subtract 2x on both sides of the equation:

6x + 14 = 50

Now, subtract 14 on both sides of the equation

6x = 36

Now, divide 6 on both sides of the equation

x = 6

To find m∠B you have to you have to plug in x = 6 back into the ∠B equation

∠B = 2(6) + 50

∠B = 62°

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2 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