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3 years ago

the figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to BF.

Mathematics

1 answer:

spayn [35]3 years ago

3 0

Answer:

EF, FG, AB and BC are perpendicular to BF.

Step-by-step explanation:

In the figure attached, a rectangular prism has been given.

Line BF is contained in the face BCGF of the prism.

Therefore, all the faces perpendicular to the face given are,

ABFE, EFGH, ABCD and CGHD.

But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.

Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.

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The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state. The size of the

Ann [662]

The smallest county is 129 square miles large.

Step-by-step explanation:

Let,

Smallest county = x

Largest county = y

According to given statement;

The largest county in the state of Texas is 6064 square miles larger than the smallest county in the same state.

y = x+6064 Eqn 1

The size of the largest county is 48 times the size of the smallest county plus one square mile.

y = 48x+1 Eqn 2

As Eqn 1 and Eqn 2 are both equal to y, therefore,

Eqn 1 = Eqn 2

$x+6064=48x+1\\6064-1=48x-x\\6063=47x\\47x=6063$

Dividing both sides by 47

$\frac{47x}{47}=\frac{6063}{47}\\x=129\ square \ miles$

The smallest county is 129 square miles large.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

7 0

3 years ago

Hey please help this is due today

Aleksandr [31]

Answer:

100

Step-by-step explanation:

Write in an equation:

4=4%x, then divide 4% from both sides, and then you get 100.

7 0

2 years ago

Read 2 more answers

What is 18/42 in simpist form?

Artemon [7]

Answer:

3/7

Step-by-step explanation:

18/42=9/21=3/7 answer

5 0

2 years ago

Read 2 more answers

A shopper paid $2.52 for 4.5 pounds of potatoes and $7.75 for 2.5 pounds of broccoli. What is the unit price of each item she bo

Maurinko [17]

<h3>Unit price is $ 0.56 per pound of potatoes</h3><h3>Unit price is $ 3.1 per pound of broccoli</h3>

<em><u>Solution:</u></em>

Given that,

Unit price is the price of 1 unit

$\textrm{Unit Price} = \frac{\textrm{Total cost on n products}}{\textrm{n}}$

<h3><u>Find unit price of potatoes</u></h3>

A shopper paid $2.52 for 4.5 pounds of potatoes

$Unit\ Price = \frac{2.52}{4.5}\\\\Unit\ Price = 0.56$

Thus unit price is $ 0.56 per pound of potatoes

<h3><u>Find unit price of broccoli</u></h3>

$7.75 for 2.5 pounds of broccoli

$Unit\ Price = \frac{7.75}{2.5}\\\\Unit\ Price = 3.1$

Thus unit price is $ 3.1 per pound of broccoli

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3 years ago

Out of every 40 pens, 5 pens are discarded. What percent of the pens are not discarded?

Gwar [14]

87.5 percent

Reason: 40/40-5/40 is 35/40. Divide 35/40 and you get 0.875. Multiply by a hundred and you get 87.5%

3 0

2 years ago