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Svetlanka [38]
3 years ago
12

Line t intersects line u as shown below What is the value of x

Mathematics
1 answer:
Rudiy273 years ago
5 0

Answer:

x = 117 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the angle at the top left on line t is equal to theta of the top left on line u and is equal to 117 degrees (corresponding angle)

Also the angle angle on the top left on line u will be equal to x (vertically opposite angle)

Hence the value of x = 117 degrees (vertically opposite to each other on line u)

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NEED HELP ASAP THANKS.
Anna007 [38]

Answer:

your anwser would be C

Step-by-step explanation:

5 0
3 years ago
As Sales Manager for ISeeYou Productions, you are planning to review the prices you charge clients for television advertisement
aksik [14]

The development fee p can be modeled by the equation p=-400q+9600 where p is the price the company charges and q is the number of contracts they get. The total revenue R ISeeYou obtains by signing q contracts is found by using the function: R(q)=-400q^{2}+9600q. The cost ISeeYou Productions can be found by using the following function: C(q)=800q+16000. The monthlhy profit of Express ISeeYou Productions if found with the next function: P(q)=-400p^{2}+8800q-16000. ISeeYou should sign 2 or 20 contracts to break even.

a) In order to solve part a of the problem, we will suppose the price will have a linear relation with the amount of contracts they signed, so we need to find two points to build this function.

We know that when signing 6 contracts, the company charges $7,200, so our first point will be:

(6, 7200)

we also know that the company signs 14 contracts when they charge $4,000. So our second point is:

(14, 4000)

so we can use these points to find the slope of the line by using the

slope formula:

m=\frac{p_{2}-p_{1}}{q_{2}-q_{1}}

m=\frac{4000-7200}{14-6}

so the slope is:

m=-400

We can now use one of those points and the slope to find the function for the price, so we get:

y-y_{1}=m(x-x_{1})

p-p_{1}=m(q-q_{1})

if we used the point: (6, 7200) we get:

p-7200=-400(q-6)

which can now be simplified:

p=-400q+2400+7200

so the price function is:

p=-400q+9600

b) In order to find the revenue equation we need to multiply the price equation by the amount of contracts they signed in a month, so we get:

R(q)=pq

R(q)=(-400q+9600)q

R(q)=-400q^{2}+9600q

c) The cost can be found by adding the fixed cost and the variable cost, so we get:

C(q)=800q+16000

d) The profit is found by subtracting the montly cost from the monthly revenue, so we get:

P(q)=R(q)-C(q)

so

P(q)=-400q^{2}+9600q-(800q+16000)

so we can now simplify our function to get:

P(q)=-400q^{2}+9600q-800q-16000

P(q)=-400q^{2}+8800q-16000

e) In order to find the number of contracts for the company to break even, we need to find the q contracts that will give a profit of $0 so we set the function of the previous part of the problem equal to zero so we get:

P(q)=-400q^{2}+8800q-16000

-400q^{2}+8800q-16000=0

we can start by factoring a -400 from the left side so we get:

-400(q^{2}-22q+40)=0

we can divide both sides of the equation into -400 to simplify the equation so we get:

q^{2}-22q+40=0

and now we can factor the left side of the equation to get:

(q-20)(q-2)=0

we can now split this into two equations to get:

q-2=0    and   q-20=0

so our two answers are:

q=2 and q=20

the company will break even when signing 2 and 20 contracts.

In the attached picture you will be able to see the break even points on the graph of revenue and cost.

For more information on how to solve this type of problems, you can go to the next link.

brainly.com/question/23407629?referrer=searchResults

6 0
2 years ago
Find the product of (2x-3) and (x+3)​
miss Akunina [59]

Answer:

(2x - 3) * (x + 3)

=> (2x * x) + (-3 * 3)

=> 2x - 9

=> 2x -9

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

3 0
3 years ago
Solve the following proportion problem for x: 14/3x=20/x-5
Butoxors [25]

14        20

----  =  -----  cross multiply

3x       x-5


14(x-5) = 3x (20)

14x - 70 = 60x

-14x          -14x

-70 = 36x

/36    /36

-70/36  = x

or

-35/18 = x

5 0
3 years ago
Read 2 more answers
You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean i
notsponge [240]

The question given is incomplete, I googled and got the complete question as below:

You are a waterman daily plying the waters of Chesapeake Bay for blue crabs (Callinectes sapidus), the best-tasting crustacean in the world. Crab populations and commercial catch rates are highly variable, but the fishery is under constant pressure from over-fishing, habitat destruction, and pollution. These days, you tend to pull crab pots containing an average of 2.4 crabs per pot. Given that you are economically challenged as most commercial fishermen are, and have an expensive boat to pay off, you’re always interested in projecting your income for the day. At the end of one day, you calculate that you’ll need 7 legal-sized crabs in your last pot in order to break even for the day. Use these data to address the following questions. Show your work.

a. What is the probability that your last pot will have the necessary 7 crabs?

b. What is the probability that your last pot will be empty?

Answer:

a. Probability = 0.0083

b. Probability = 0.0907

Step-by-step explanation:

This is Poisson distribution with parameter λ=2.4

a)

The probability that your last pot will have the necessary 7 crabs is calculated below:

P(X=7)=  {e-2.4*2.47/7!} = 0.0083

b)

The probability that your last pot will be empty is calculated as:

P(X=0)=  {e-2.4*2.40/0!} = 0.0907

8 0
3 years ago
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