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3 years ago

Use the diagram to complete the table by matching the Theorem with the angle relationship.

Mathematics

1 answer:

serious [3.7K]3 years ago

6 0

Answer:

The Table with Correct reasons are as follows.

Step-by-step explanation:

The Table with Correct reasons are as follows

Answer Angle Relationship

c. Corresponding Angles ∠ 1 ≅ ∠ 5

d. Same Side Interior ∠ 4 + ∠ 5 = 180

a. Alternate Exterior Angles ∠ 3 ≅ ∠ 6

b. Alternate Interior Angles ∠ 4 ≅ ∠ 5

c. Corresponding Angles ∠ 2 ≅ ∠ 6

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In 2016 the United States had a population of about 323 million people and was growing at 0.7 %. Use an explicit exponential mod

ElenaW [278]

Answer:

2047

Step-by-step explanation:

We are given that

Growing rate=0.7%

$\frac{dp}{dt}=\frac{0.7}{100}P$

$\int \frac{dP}{P}=0.007\int dt$

$lnP=0.007t+C$

Using the formula

$\int \frac{dx}{x}=ln x+C$

$P=e^{0.007t+C}=e^{0.007t}\cdot e^C=Ae^{0.007t}$

$e^C=A$

Initially when t=0,P=323 million

Substitute the values

$323 million=A$

$P=323e^{0.007t}$

Now, substitute P=400 million

$400=323e^{0.007t}$

$ln\frac{400}{323}=0.007t$

$ln(1.2384)=0.007t$

$t=\frac{ln(1.2384}{0.007}$

$t=30.5\approx 31 Years$

Year=2016+31=2047

Hence,In 2047 the U.S population will reach 400 million people.

5 0

3 years ago

PLEASE HELP PLEASE HELP PLEASE

WARRIOR [948]

f is given as -3

-3 is greater than -4, so use the second equation 3x-5.

replace x with -3 and calculate:

3(-3) - 5 = -9 - 5 = -14

The answer is -14.

6 0

3 years ago

Pls help fast. Will give brainly

Anna71 [15]

Answer:

$\frac{1}{6} \times 18 + \frac{2}{5} \times 35 = 17$

4 0

3 years ago

Read 2 more answers

Can you guys help please!! Due very soon!

natali 33 [55]

the y-intercept is at (0,2) where it's touching the y-axis. That's why it's called y-intercept.

Hope thishelps!

7 0

3 years ago

Read 2 more answers

What is the measurement of theta in degrees?

Olin [163]

Hello from MrBillDoesMath!

Answer: 48.2 degrees

Discussion:

In the diagram, "6" is the x- distance along the side adjacent to theta, and

3 * sqrt(5) is the y-distance along the side opposite angle theta.

By definition of tangent of angle, using "@" for theta, we have

tan (@) = opposite/adjacent = 3 * sqrt(5) / 6 = sqrt(5)/2

So @ = (inverse tangent (sqrt(5)/2) ) = 48.189 degrees (approximately)

Thank you,

MrB

7 0

3 years ago