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Lena [83]
3 years ago
7

Find the value of x and measure of each labeled angle.

Mathematics
2 answers:
BigorU [14]3 years ago
8 0

Answer:

x=25

6x-45=6×25-45=105

4x+5=4×25+5=105

Step-by-step explanation:

6x-45=4x+5(Reason:- vertically opposite angle)

or, 6x-4x=45+5

or,2x=50

or,x=25

nikklg [1K]3 years ago
6 0

Answer:

6x-45°=4x+5°(vertically opposite angles are equal)

6x-4x=5+45

2x=50

x=50/2

x=25

hope it helps you!

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If a water tank already contains 55 gallons of water when baxter begins to fill it and water is flowing in at a rate of 8 gallon
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Answer:

I think it would be 55+8x. I hope this helps. :)

Step-by-step explanation:

55 gallons of water

8 gallons per minute

It would be 55 gallons (the original amount in the tank) plus 8 gallons per minute. (8x)

x = how many minutes the tank is being filled up more.

so if you were to fill up the tank another 5 minutes, the equation would be 55+8(5)

55+40

95 would be the answer.

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3 years ago
n the figure below, A, B, and C represent the areas of the squares with side lengths a, b, and c, respectively. If B = 441 squar
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Answer:

hello 765

Step-by-step explanation:

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4 years ago
In the ordered pair (2, 3), 3 is the
LuckyWell [14K]
3=y and 2=x



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3 years ago
The Hudson Bay tides vary between 3 feet and 9 feet. The tide is at its lowest point when time (t) is 0 and completes a full cyc
BaLLatris [955]

Answer:

y(t)= 6-3cos(\dfrac{2\pi}{14}t )

Step-by-step explanation:

The function that could model this periodic phenomenon will be of the form

y(t) = y_0+Acos(wt)

The tide varies between 3ft and 9ft, which means its amplitude A is

A =\dfrac{(9-3)ft}{2} \\\\\boxed{A = 3ft}

and its midline y_0 is

y_o=3+3 \\\\\boxed{y_o= 6ft}.

Furthermore, since at t=0 the tide is at its lowest ( 3 feet ), we know that the trigonometric function we must use is -cos(\omega t).

The period of the full cycle is 14 hours, which means

\omega t =2\pi

\omega (t+14)= 4\pi

giving us

\boxed{\omega = \dfrac{2\pi}{14}.}

With all of the values of the variables in place, the function modeling the situation now becomes

\boxed{y(t)= 6-3cos(\dfrac{2\pi}{14}t ).}

8 0
4 years ago
The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make
Bad White [126]

Answer:

a) There is a probability of 42% that the person will feel guilty for only one of those things.

b)There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

-Set A, for those people that will feel guilty about wasting food.

-Set B, for those people that will feel guilty about leaving lights on when not in a room.

The most important information is that there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. It means that P(A \cap B) = .12.

The problem also states that there is a .39 probability that a randomly selected person will feel guilty about wasting food. It means that P(A) = 0.39. The probability of a person feeling guilty for only wasting food is PO(A) = .39-.12 = .27.

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b) What is the probability that a randomly selected person will not feel guilty for either of these reasons

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- The person will not feel guilty for either of these reasons: P

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- The person will feel guilty for both reasons: PB = 0.12

So

`P + 0.42 + 0.12 = 1

P = 1-0.54

P = 0.46

There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

4 0
3 years ago
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