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3 years ago

What is the value of x in the diagram?

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

7 0

Answer:

Step-by-step explanation:

They are vertical angles; so angles are congruent

*<em>Vertical angles are always congruent*</em>

<em>Congruent means equal or same.</em>

1) Since they are congruent, you form an equation.

2) Solve by subtracting 15 from both sides.

3) Solve by dividing 2 from both sides

4) Simplify

x = 65

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In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at

Rudiy27

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

<u>The output level where a purely monopolistic market will maximize profit</u>

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

7 0

2 years ago

Answer as soon as possible

alexandr1967 [171]

Answer:

C −2a^3+9a^2+45a+6ab^2+18b^2

Step-by-step explanation:

(a+3) ( −2a^2+15a+6b^2)

Distribute the a to the large term in parentheses and the 3 to the large term in parentheses

a ( −2a^2+15a+6b^2)+3 ( −2a^2+15a+6b^2)

−2a^3+15a^2+6ab^2 −6a^2+45a+18b^2

Combine like terms

−2a^3+15a^2−6a^2+6ab^2 +45a+18b^2

-2 a^3 + 9 a^2 + 6 a b^2 + 45 a + 18 b^2

3 0

3 years ago

Read 2 more answers

According to an almanac, 60% of adult smokers started smoking before turning 18 years old. (a) compute the mean and standard

larisa [96]

The given problem describes a binomial distribution with p = 60% = 0.6. Given that there are 400 trials, i.e. n = 400.

a.) The mean is given by:

$\mu=np=400\times0.6=240$

The standard deviation is given by:

$\sigma=\sqrt{npq} \\ \\ =\sqrt{np(1-p)} \\ \\ =\sqrt{400(0.6)(0.4)} \\ \\ =\sqrt{96}=9.80$

b.) The mean means that in an experiment of 400 adult smokers, we expect on the average to get about 240 smokers who started smoking before turning 18 years.

c.) It would be unusual to observe <span>340 smokers who started smoking before turning 18 years old in a random sample of 400 adult smokers because 340 is far greater than the mean of the distribution.
340 is greater than 3 standard deviations from the mean of the distribution.</span>

5 0

2 years ago

Jack got the expression 7x+1 and then wrote his answer as 1+7x . is his answer an equivalent expression? how do you know?

Solnce55 [7]

True. According to the Commutative Property <span>of addition, the numbers could be put in any order and still result in the same answer. </span>

3 0

3 years ago

Determine a series of transformations that would map polygon ABCD onto polygon A’B’C’D’?

Natalija [7]

refection and translation i think

hdjdjsjsj I hope I got it right

I'm not sure if its a dilation if its getting smaller not bigger

7 0

2 years ago