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1 year ago

Which lines are parallel if m4 = m5? Justify your answer.

Mathematics

1 answer:

Andre45 [30]1 year ago

4 0

Ok to start with the answer,
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4.
That means angle 1 = angle 5 as well. 

When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s.
Angle
1 = Angle 5,
Angle 2 = Angle 6, and so forth.
Since we know
angle 1 = angle 5,
we can conclude that r and s are parallel.

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A firm has a revenue function that can be represented by r (x)=700x-0.35x^2, where r (x) is the total revenue (in dollars) and x

Fudgin [204]

Answer:

How many units need to be sold to produce the maximum revenue? 1000 units

How many in dollars is the maximum revenue when the maximum of units are sold? $350,000

Step-by-step explanation:

We get max value of a function if we differentiate it and set it equal to 0.

We need to differentiate r(x) and set it equal to 0 and solve for x.

That would be number of units sold to get max revenue.

Then we take that "x" value and substitute into r(x) to get the max revenue amount.

Before differentiating, we see the rules shown below:

$f(x)=ax^n\\f'(x)=n*ax^{n-1}$

Where

f'(x) is the differentiated function

Now, let's do the process:

$r (x)=700x-0.35x^2\\r(x)=700-2*0.35x\\r(x)=700-0.7x\\0=700-0.7x\\0.7x=700\\x=1000$

So, 1000 units need to be sold for max revenue

Now, substituting, we get:

$r (x)=700x-0.35x^2\\r(1000)=700(1000)-0.35(1000)^2\\r(1000)=350,000$

The max revenue amount is $350,000

5 0

1 year ago

Candice bought 2 dozen eggs 9 of the eggs were bad . what percentage of the eggs were good

Dominik [7]

Answer:

63%

Step-by-step explanation:

2 dozen eggs is 24

24-9=15

15/24=.625 but when you rounded .63

4 0

1 year ago

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend

stich3 [128]

Answer:

4-x/2

Step-by-step explanation:

i took the test

4 0

1 year ago

Read 2 more answers

Rusty is training for a triathlon. He runs 4miles for every 9 miles he bikes. At the end of his training, he has run o total of

Neporo4naja [7]

Answer:

Rusty bikes for 207 miles

Step-by-step explanation:

Because 23 times 4 gives you 92 so you have to also multipy 9 by 23 gives you 207 miles. So Rusty biked for 207 miles. Hoped this helped.

8 0

2 years ago

The speed of sound is approximately 340 m / s. How long will it take for the sound to travel from the batter to a spectator who

iris [78.8K]

The first answer is 3/34 sec and the second answer is 15/34 sec.

Set up a proportion for these problems. For the first question,
340/1 = 30/x

Cross multiply:
340*x = 1*30
340x = 30

Divide both sides by 340:
340x/340=30/340
x = 30/340 = 3/34

For the second question,
340/1 = 150/x

Cross multiply:
340*x = 150*1
340x=150

Divide both sides by 340:
340x/340 = 150/340
x = 150/340 = 15/34

4 0

2 years ago