The points E,F,G and H all lie on the same line segment, in that order, such that the ratio of RF:FG:GH is equal to 4:1:5. If EH = 10, find EG.

Answers

Answer 1

As line segment EG will always equal 10 minus a multiple of RH, we may conclude that it will change depending on the value of RH.

How is length of the line EG determined?

Let's utilize the ratio of RF:FG:GH, which is 4:1:5, to demonstrate what would happen if we set RF equal to 4x while setting FG equal to x and GH equal to 5x.

The distance between E and H is equal to the sum of the distances between E and G and G and H since the locations E, F, G, and H are now known to be collinear. In other words, we can construct the equation shown below:

EG + GH = EH

Adding the values we are familiar with results in:

10 = EG + 5x

By deducting 5x from both sides, we may isolate the variable EG and find it:

10 - 5x = EG

We need to know the value of x in order to solve for EG. The fact that RF:FG:GH has a 4:1:5 ratio allows us to create the following equation:

RF + FG + GH = RH = 4x + x + 5x

If we simplify, we get:

10x = RH

We can't directly solve for x because we don't know the value of RH. Yet given that the ratio of RF:FG:GH is 4:1:5, we can infer that RF + FG is equivalent to 4/5 of RH.

FG + RF = (4/5)RH

Adding the values we are familiar with results in:

4x + x = (4/5)RH

If we simplify, we get:

5x = (4/5)RH

The result of multiplying both sides by 5/4 is:

x = (1/4)RH

Now that we have this value of x, we can enter it into the equation we created earlier:

10 - 5x = EG

Inputting x = (1/4)RH results in:

10 - 5(1/4)RH = EG

If we simplify, we get:

EG = 10 - (5/4)RH

RH may be valuable, but we are not in need of it. The only thing we need to know is that EG = 10 - a multiple of RH. As EG will always equal 10 minus a multiple of RH, we may conclude that it will change depending on the value of RH.

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Related Questions

Geography is the study of areal differentiation." Discuss with examples

Answers

Answer:

Explanation:

Geography is the study of areal differentiation, which refers to the examination of differences and variations between various regions or areas. This involves analyzing the physical, biological, and human factors that contribute to the uniqueness of a place or region.

Physical geography is one of the branches of geography that examines the natural environment, including landforms, climate, vegetation, and water bodies. For example, the Great Rift Valley in Africa is a unique physical feature that has been shaped by tectonic and volcanic activity, resulting in a distinctive landscape with steep cliffs, deep gorges, and flat plains.

Human geography, on the other hand, focuses on the social and cultural aspects of human life, including population, economics, politics, and religion. For example, the cultural differences between different regions in the world can be seen in their language, customs, and beliefs. The Middle East, for instance, is characterized by a strong religious tradition and a long history of conflict, while Southeast Asia is known for its diverse ethnic groups and unique cultural practices.

Geographers also study the interactions between human and natural systems, such as how human activities affect the environment and how the environment influences human activities. For example, the Amazon rainforest in South America is not only a unique natural environment with rich biodiversity, but it is also home to indigenous peoples who have developed sustainable ways of life that are closely linked to the ecosystem.

Overall, the study of areal differentiation in geography provides insight into the complex interactions between physical and human systems and helps us better understand the diversity and uniqueness of different regions around the world.

The community of Estula receives regular shipments of arms to help fight the cartels.
True or False

Answers

It is a false statement that the community of Estula receives regular shipments of arms to help fight the cartels.

What do cartels deal with?

An illicit consortium of independent organizations formed to limit competition and control the production and distribution of illegal drugs is known as a drug cartel. Drug cartels are highly organized, well-financed, effective, and ruthless. They have dominated the international narcotics trade since the 1980s.

The drug war in the United States began during the presidency of Richard Nixon. Nixon declared drug abuse to be "public enemy number one" after winning the presidential election in 1968. Efforts to halt the flow of illegal drugs into the United States—the primary destination for the majority of narcotics—became increasingly focused on limiting foreign production of marijuana and heroin.

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