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3 years ago

how can the properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines

Mathematics

1 answer:

iris [78.8K]3 years ago

5 0

A linear pair of angles is a pair of angles that adjacent to each other on a straight line.

Angles on a straight line add up to 180°

A vertical line on the straight line will split 180° into two equal angles of 90° as shown in the diagram below

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WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the

iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

$d=\sqrt{h^2+k^2}$

Distance of P from ( -3, 4 ) :

$d=\sqrt{(h+3)^2+(k-4)^2}$

Now , these distance are equal :

$h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2$

Solving above equation , we get :

$P=(\dfrac{16}{21},\dfrac{23}{7})$

Hence , this is the required solution.

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3 years ago

The land area of a country is about 5.0 million square miles, and the population is about 600 million people. What is the avera

podryga [215]

Answer:

120 people/sq. mile

Step-by-step explanation:

Population Density is the concept of how "crowdy" a place is. The more the population density, the more crowded that place is.

The population density is found by dividing the "number of people" by the "land area" (in sq mile or sq km).

Here, it is given there are 600 million people, so

Number of People = 600,000,000

And, the land area is given as 5 million square miles, so

Land Area = 5,000,000 sq. miles

Hence,

Population Density = 600,000,000/5,000,000 = 120 people/sq. mile

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3 years ago

Yo i need help with 1,000,000 + - 3,000,000

Arada [10]

Answer: -2,000,000

Step-by-step explanation:

Think of it as -3,000,000 + 1,000,000

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PtichkaEL [24]

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