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2 years ago

In ∆ GHK point M is the midpoint of GH. Which term describes KM?

Mathematics

2 answers:

guajiro [1.7K]2 years ago

6 0

Answer:

The correct option is B.

Step-by-step explanation:

Given information: In ∆ GHK point M is the midpoint of GH.

If a line perpendicular from a vertex to the opposite side of the triangle, then it is called altitude of a triangle.

If a line segment joint a vertex of the triangle to the midpoint of the opposite side, then it is called median.

If a line segment bisect one of the vertex angles of a triangle, then it is called angled bisector.

If a line from a vertex perpendicular to the opposite side and passing through its midpoint, then it is called perpendicular bisector.

Since side GH is opposite to the vertex K and M is the midpoint of GH, therefore the line segment KM is median of the ∆GHK.

Therefore the correct option is B.

SpyIntel [72]2 years ago

5 0

C is the cortect answer

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Answer:

A.) 1508 ; 1870

B.) 2083

C.) 3972

Step-by-step explanation:

General form of an exponential model :

A = A0e^rt

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A = final population

r = growth rate ; t = time

Using the year 1750 and 1800

Time, t = 1800 - 1750 = 50 years

Initial population = 790

Final population = 980

Let's obtain the growth rate :

980 = 790e^50r

980/790 = e^50r

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In(980/790) = 50r

0.2155196 = 50r

r = 0.2155196/50

r = 0.0043103

Using this rate, let predict the population in 1900

t = 1900 - 1750 = 150 years

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2.)

Exponential model. For 1800 and 1850

Initial, 1800 = 980

Final, 1850 = 1260

t = 1850 - 1800 = 50

Using the exponential format ; we can obtain the rate :

1260 = 980e^50r

1260/980 = e^50r

Take the In of both sides

In(1260/980) = 50r

0.2513144 = 50r

r = 0.2513144/50

r = 0.0050262

Using the model ; The predicted population in 1950;

In 1950;

t = 1950 - 1800 = 150

A = 980e^150*0.0050262

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3.)

1900 1650

1950 2560

t = 1900 - 1950 = 50

Using the exponential format ; we can obtain the rate :

2560 = 1650e^50r

2560/1650 = e^50r

Take the In of both sides

In(2560/1650) = 50r

0.4392319 = 50r

r = 0.4392319/50

r = 0.0087846

Using the model ; The predicted population in 2000;

In 2000;

t = 2000 - 1900 = 100

A = 1650e^100*0.0087846

A = 1650e^0.8784639

A = 3971.8787 ; 3972 million people

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