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3 years ago

A line parallel to one side of a triangle, and intersects the other two sides, divides the other two sides proportionally.

Mathematics

2 answers:

vesna_86 [32]3 years ago

6 0

The answer would be a

Ugo [173]3 years ago

4 0

Answer: The answer is (A). always.

Step-by-step explanation: The given statement is -

"A line parallel to one side of a triangle, and intersects the other two sides, divides the other two sides proportionally."

We are to check whether the given statement is always true, sometimes true or never true.

Triangle Proportionality Theorem states that if a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally.

Thus, considering the above theorem, we can conclude that the given statement is always true.

Thus, (A) is the correct option.

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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

4 years ago

Add. Write your answer as a fraction in simplest form. 6+(−4 3/4)+(−2 1/8)=

zhuklara [117]

The ANWSER is 15 I did the math

6 0

3 years ago

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Tema [17]

Your answer would be -17 I think

7 0

4 years ago

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Can someone please help me.understand how to solve this. 78 points if you solve.

galina1969 [7]

Answer: 65

Step-by-step explanation:

Angles of a quadrilateral add up to 360 so,

360 - 47 - 115 - 133 = 65

4 0

3 years ago

What do they call a number that goes on forever?

Art [367]

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4 years ago

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