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melisa1 [442]
1 year ago
10

two distint lines l and m are each perpendicular to the same line n . explain why l and m are parallel lines

Mathematics
1 answer:
Angelina_Jolie [31]1 year ago
6 0

A diagrammatic illustration of two distinct lines l and m perpendicular to the same line n is shown below

As seen above, l and m are opposite each other, and will never intersect. Therefore, the lines l and m are parallel to each other.

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exis [7]

Answer:

>

Step-by-step explanation:

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3 years ago
Cual es la utilidad de la representacion a escala de diferentes distancias reales
svp [43]

Answer:

Scales are used to represent real distances and proportions into maps and planes, that way we can have a bigger perspective about something just having in paper.

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6 0
3 years ago
If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price
Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

P = 170 - Q

The Marginal cost is given by

MC = 52

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2

The Marginal revenue is the derivative of the Total revenue,

MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\

Assuming that the monopolist maximizes profits,

MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59

Therefore, the quantity is 59 units.

The price of each good is

P = 170 - Q \\\\P = 170 - 59 \\\\P = 111

Therefore, the price is $111.

3 0
3 years ago
Find the solutions of the quadratic equation 3x^2 + 9x + 17 = 0
kirill115 [55]

Answer:

x=  

6

9−  

285

​  

 

​  

=  

2

3

​  

−  

6

1

​  

 

285

​  

=−1.314

x=  

6

9+  

285

​  

 

​  

=  

2

3

​  

+  

6

1

​  

 

285

​  

=4.314

Step-by-step explanation:

8 0
3 years ago
2.
Jet001 [13]

Answer:

119.2

Step-by-step explanation:

Given the following :

Mean (m) = 100 years

Standard deviation (sd) = 15 years

closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the

distribution?

Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28

Zscore = (X - mean) / standard deviation

1.28 = (X - 100) / 15

1.28 × 15 = X - 100

19.2 = X - 100

19.2 + 100 = X

X = 119.2

3 0
3 years ago
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