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Mademuasel [1]
3 years ago
14

For the figure​ shown, find m<1.

Mathematics
1 answer:
sdas [7]3 years ago
8 0

Answer:

Step-by-step explanation:

Sum of angles of a triangle = 180

So, 56 + 58 + x = 180

      114 + x = 180

         x = 116

Now ∠ 1 + ∠x = 180      [ straight line angles]

       ∠ 1 + 66 = 180

        ∠1 = 180 - 66 = 114°

OR

You can use the rule : Exterior angle = sum of 2  interior opposite angles.

56 + 58 = ∠1

114 = ∠1

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Hey there!
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Hope this helps:) Let me know if you have any questions.
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Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.
Travka [436]

Answer:

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Step-by-step explanation:

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Which of the following situations could be modeled by an exponential function?
Sauron [17]

Answer: Option D.

Step-by-step explanation:

An exponential function is something like:

f(x) = A*(r)^x

Where:

A = initial amount.

r = rate of growth

x = variable.

This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"

or:

"There is a population of A animals, and it doubles each year"

Let's analyze briefly all the given options and see which one is an exponential function.

A) The water level of a tank decreases by 5 gallons every day.

This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:

y = W - 5 gal*x

B) The amount of money collected by a charity increases by $5,000 each year.

The amount collected increases $5000 each year.

Then if in year 1 they collected A.

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in year 3 they collected A + 2*$5000

We already can see the pattern, this is a linear relation:

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C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.

if y is the height of the tree, and x is the number of years, this can be written as:

y = 10ft + x*2ft

Again, a linear relation.

D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.

Let's define x as each "lapse" of 10 minutes that passes.

If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55

After another 10 minutes, the population decreases again.

N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2

We can see the pattern here, this can be written as

People(x) = N*(0.55)^x

This is an exponential function.

3 0
2 years ago
Jenny tweets 33 times a day. antonio posts 5 tweets per day. let d represent the number of given days. use an algebraic expressi
algol13
Jenny's algebraic expression:

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Antonio's expression:

y = 5d

total tweets in 5 days

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Altogether they have posted:

165 + 25 tweets = 190 tweets in five days
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