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2 years ago

In exercises 1 and 2, find m<1 and m<2. Tell which theorem you used in each case.

Mathematics

1 answer:

solniwko [45]2 years ago

8 0

Answer:

m∠2 = 78°

Step-by-step explanation:

From the given picture,

lines 'm' and 'n' are the parallel lines and line 't' is the transverse line.

∠1 and angle with the measure of 78° are corresponding angles.

Therefore, m∠1 = 78°

m∠1 = m∠2 [Vertical angles are equal]

m∠2 = 78°

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2 years ago

in 2010 , a city's population was 55,210 and it was declining at a rate of 1.09% each year. which is the best prediction for whe

Anon25 [30]

Answer: 2023

Step-by-step explanation:

Since, the initial population of the city is 55,210,

And, it is declining at a rate of 1.09%.

Thus, the function that shows the population after x years since 2010 is,

$f(x) = 55210(1-\frac{1.09}{100} )^x$

$f(x) = 55210(1-0.0109)^x$

$f(x) = 55210(0.9891)^x$

If the population of town is 48000 in x years.

⇒ $55210(0.9891)^x= 48000$

⇒ $(0.9891)^x= 0.869407715993$

⇒ $x = 12.769$

Therefore, after 12.769 years the population of town will be equals to 48,000

⇒ After 12.770 years the population will first be below 48,000.

⇒ After approx 13 years the population will first below 48,000.

⇒ Around 2023 the population will be first below 48,000.

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2 years ago

It’s real simple just answer it

sladkih [1.3K]

Answer:

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Step-by-step explanation:

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2 years ago

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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

hodyreva [135]

Answer:

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Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

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Step-by-step explanation:

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2 years ago

A realtor earns a commission of 2% on total sales. If the realtor sells a home for $410,000, find the commission

4vir4ik [10]

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Answer: 8100

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3 years ago

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