In the​ diagram, FH​2FG, GH​HI, and FIIK. Which of the following statements must be​ true?

Answers

Answer 1

Question:

In the diagram, FH = 2FG, GH = HI, and  FI = IK. Which of the following statements must  be true? Select all that apply.

(a) FG = HI

(b) HI = IJ

(c) IK = 3FG

(d) FH = GI  

(e) HJ = JK

(f) HK = 2GI

Answer:

(a) FG = HI

(c) IK = 3FG

(d) FH = GI  

(f) HK = 2GI

Explanation:

The diagram to this question has been attached to this response.

From the question:

=> FH = 2FG

Let FG be x units

Then FH = 2x units                 -----------------------(*)

=> FH = FG + GH         [Remember: FG = x units, FH = 2x units]

2x = x + GH

GH = x units

Also

=> GH = HI                    [Remember: GH = x units]

x = HI

HI = x units

=> FG = GH = HI = x units                --------------------(i)

=> FI = FH + HI              [Remember: FH = 2x units, HI = x units]

FI = 2x + x

FI = 3x units

=> FI = IK                        [Remember: FI = 3x units ]

IK = 3x units                                 -----------------------------(ii)

Now lets go to the question

(a) Check if FG = HI

FG = HI = x units        [from equation (i)]

∴ FG = HI

(b) Check if HI = IJ

HI = x units                 [from equation (i)]

IJ = y units        [Not enough information to find the IJ]

∴ HI = x units may not be equal to IJ

(c) Check if IK = 3FG

IK = 3x units               [from equation (ii)]

FG = x units               [from equation (i)]

∴ IK = 3FG

(d) Check if FH = GI  

FH = 2x units            [from equation (*)]

GI = GH + HI             [GH = x units, HI = x units from equation (i)]

GI = x + x = 2x units

∴ FH = GI

(e) Check if HJ = JK

HJ = HI + IJ

HJ = (x + y) units

JK = IK - IJ

JK = 3x - y

∴ HJ may not be equal to JK

(f) Check if HK = 2GI

HK = HI + IJ + JK                    [JK = (3x - y) as calculated in (e) above]

HK = x + y + (3x - y)

HK = 4x

2GI = GI + GI               [GI = 2x units as calculated in (d) above]

2GI = 2x + 2x = 4x

∴ HK = 2GI

In The Diagram, FH2FG, GHHI, And FIIK. Which Of The Following Statements Must Be True?

Related Questions

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Answer: donald duck

Explanation: QUAKTY quak quauk quak hot dog hot dog hot diggity dog

Which of the words below describe mud, sand, and tiny bits of rocks that cement together to form a type of rock?
1. Stalactites
2. Magmas
3. Metamorphs
4. Sediments

Answers

Answer:

Sediments because it is sedimentary rocks

Out of the choices of words given above, it can be concluded to state that sediments describe mud, sand, and tiny bits of rocks that cement together to form a type of rock. Therefore, the option 4 holds true.

What is the significance of sediments?

Sediments can be referred to or considered as the particles that form together and get cemented with each other to lead to a formation of the sedimentary rocks. The sedimentary rocks are naturally occurring rocks that take place due to a process of deposition.

The rate of deposition in some sediments is slow in some cases, and fast in some. The composition of the sediments can be given with the descriptions of the contents, such as mud, sand, and tiny rocks.

Therefore, the option 4 holds true and states regarding the significance of sediments.

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List the 3 function of the atmosphere

Answers

Answer:

the atmosphere protects life on earth by shelding it from economic ultraviolet UV radiation keeping the planet warm through installation and prevent the extremes between they and night temperature

Which region of that nation would
best describe Georgia's location?

Answers

Answer:

Regions

Explanation:

If you're talking about Georgia the country, then its in the region called the caucuses mountains. If you're talking about the U.S state of Georgia then its region is the Southeastern United States

Which statements accurately compare the tectonic activity of the planets? Check all that apply
The terrestrial planets experience quakes, the gas giants do not.
The gas giants have multiple plates, the terrestrial planets do not.
The gas giants have no true surfaces, so they experience tectonic activity.
Terrestrial planets experience (or experienced) tectonic activity, gas giants do (or did) not.
Mountains and volcanoes are found on the gas giants, not on terrestrial planets.
Activity in the molten interior of the terrestrial planets results (or resulted) in tectonic activity

Answers

Answer:

Choice 1,4,and 6

Explanation:

The statements accurately compare the tectonic activity of the planets are:

The terrestrial planets experience quakes, the gas giants do not.Terrestrial planets experience (or experienced) tectonic activity, gas giants do (or did) not.Activity in the molten interior of the terrestrial planets results (or resulted) in tectonic activity. Thus, option (a), (d), and (f) is correct.

What is planets?

The term “planet” refers to a large celestial body that orbits around the sun, but the sun is a fixed point in place. The planets are different sizes, as smaller planets are Earth, Mercury, Mars, and Venus. The larger gas giant planets are Jupiter, Uranus, Neptune, and Saturn.

Heat loss is what drives tectonic activity. Earthquakes occur on terrestrial planets, but not on gas giants. Terrestrial planets have tectonic activity, while gas giants do not (or did not previously). Tectonic activity is caused (or derived from) activity in the molten interiors of the terrestrial planets.

Therefore, option (a), (d), and (f) is correct.

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what is the largest lake in the western United States?​

Answers

Answer:

The largest lake in the western us is the great salt lake.

Explanation:

Answer:

Lake Superior

Explanation:

In which essential aspect of geography would you learn about the creation of mountains?
A.
human systems
B.
physical systems
C.
places and regions
D.
uses of geography

Answers

You will learn about the creation of mountains in physical systems.
In the study of physical geography you learn about:
1. General aspects related to the Earth and other planets
2. How were formed the continents and the oceans ?
3. Essential aspects of the Earth’s geology

Answer:

its c

Explanation:

2. What does the term geography literally translate to? *
World studying
Globe learning
Earth writing
Planet exploring

Answers

the study of the land

which is smallest country​

Answers

Answer:

Vatican City is the smallest country.

Answer:

Vatican City

Vatican City is the smallest country.

A geographer who studies the locations of things that are happening in cities most often uses which of the six essential elements of geography? A. the world in spatial terms B. environment and society C. places and regions D. the uses of geography ​

Answers

Answer: the uses of geography

Answer:

A. the world in spatial terms

Explanation:

Name the thermal zones of the earth


Answers

Answer:

hi there

There are 5 thermal zones on the globe. Going from north/south pole to equator they are:

1) Polar zone.

2) Sub polar zone.

3) Temperate zone.

4) Sub tropical zone.

5) Tropical zone.

Hope this helps :)

How do Federal, State and Local Governments differ?

Answers

Answer: Federal government is for the whole country. Includes presidents, vice presidents, etc. State government is for a particular state it includes governors, secretaries of state, etc. Local government is for provinces, parishes, cities, etc. It consists of mayors and council members.

Hope this helps and if you want please give me brainliest!! :)

How does relative geographic scale differ from scale of data?

Answers

Geography Scales
We have maps showing entire continents and maps showing all the houses in a small town. We have maps telling us information about the people living there, how land is used, or even the concentration of an endangered species. An important part of a map is the scale it uses, but that depends on the type of data we want to know. There are two types of scales used in geography: map scales and relative scales. Each has a very different function, yet both also can work together.

Map Scales
The scales used in mapping, usually noted in a lower corner of the page, employ relative distance. You couldn't expect a map to be an exact match to the landscape or you would need to unfold miles of paper. By creating a smaller image of the actual landscape, the map becomes a useful tool. However, the relationships between places on the map must remain consistent with reality. This is where the map scale comes in, to tell us what a certain distance on a map represents in real space.

A map can inform us of the scale it uses in three different ways.

A verbal scale can tell us in words, like ''one inch equals one mile.''
A fraction or ratio can compare the distances with the relationship of the map's distance to the actual distance, such as 1 inch:10 miles; 1:10; 1 inch:10 miles; or 1:10.
A graphic scale is one in which the scale is written as a graph with the representation of the distance marked at consistent intervals on the line. This means that each line segment equals a certain distance. These scales are great if you don't have a ruler or tape measure handy to measure the map. You can mark the scale on the edge of some scrap paper and hold it up to the map to figure out how far apart two points are.
Relative Scale
Don't let the term ''relative'' confuse you into thinking this type of scale deals with relative distance like with a map scale. Relative scales, also called scales of analysis, refer to the amount of detail included in the map and the size of the units at which we are looking. This is called the level of aggregation, or many details get lumped together on the map based on the unit size we are analyzing. It's basically details about a place one might use in a research project instead of distance.

The lower the level of aggregation, the more specific we get with the detail. It's like zooming in and out from a satellite image. If we zoom in, we are at a low elevation and see very specific details. We can see the roof of a house and individual cars.

The difference is the values on the map as compared to ground.

The main difference between geographic scale and scale of data is that geographic scale is a type of scale which can be used to show the geographical region. This type of scale is used in our daily life in various activities e.g. USGS topographic maps have a scale of 1:24,000. In this map, one inch on the map represents 24,000 inches in the real world while on the other hand, scale of data or Map scale refers to the relation between distance on a map with the distance on the ground e.g. 1:100000 scale map, where 1cm on the map equals 1 km on the ground.

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Where are iron and aluminum often found?

Answers

mostly found in earths crust as silicate ores which are a type of clay

Which of the following statements is most accurate? 1.) Human activities may affect the physical environment, and the physical environment may affect human activities. 2.) Human activities have no effect on the physical environment, and the physical environment has no effect on human activities. 3.) Human activities may affect the physical environment, but the physical environment has no effect on human activities. 4.) Human activities have no effect on the physical environment, but the physical environment may affect human activities.

Answers

Answer:

Statement 1

Explanation:

Humans activities, to a certain extent, can affect the physical environment. Likewise, things such as the whether affect human activity.

Which of the following is not an example of an element of culture? A. Reading the Bible B. Speaking Spanish C. Having blonde hair and blue eyes D. Eating Italian food, such as spaghetti

Answers

Answer:

C. Having blonde hair and blue eyes

what major factors contribute to some countries being rich and others being poor? (3factors)

Answers

Answer:

poverty ratehow many jobs there arepopulation count

Explanation:

Find the midpoint of the line segment joining the points ​R(1​,​4) and ​S(-4​,7​)

Answers

using mid point formula

(x1+x2/2) , (y1+y2/2)

so x =

[tex] \frac{1 + ( - 4)}{2} = - 1.5[/tex]

so y =

[tex] \frac{4 + 7}{2} = 5.5[/tex]

so the final answer is

(1.5 , 5.5)

sorry if im wrong

A spacecraft orbiting Earth relies on solar panels that have an efficiency of 26% (percent of incoming energy the panels can convert) for power. The spacecraft has a battery to store energy for the half of isorbi the spacecraft is on the night side of the planet and incoming solar irradiance is 1367 W/m2. How big do the panels have to be at minimum if the spacecraft require 1000 W of power? Show your work.

Answers

Answer:

The solar panel should have a surface area with a size of 2.8 m^2

Explanation:

efficiency of solar panel = 26% = 0.26

solar irradiance  = 1367 W/m^2

required power = 1000 W

area of panel = ?

The power that need to fall on the panel = 1000/0.26 = 3846.15 W

This power is gotten from the solar irridiance incident on the plate

The minimum area the plate must have to absorb this power must be

From

A = E/I

where

A is the area of the solar panel

E is the energy needed by the panel

I is the irridiance from the sun

substituting values, we have

A = 3846.15/1367 = 2.8 m^2

When is a flood considerd as a natural disaster?

Answers

Floods are the most frequent type of NATURAL DISASTER and occur when an overflow of water submerges land that is usually dry. Floods are often caused by heavy rainfall, rapid snowmelt or a storm surge from a tropical cyclone or tsunami in coastal areas.

Floods can cause widespread devastation, resulting in loss of life and damages to personal property and critical public health infrastructure. Between 1998-2017, floods affected more than 2 billion people worldwide. People who live in floodplains or non-resistant buildings, or lack warning systems and awareness of flooding hazard, are most vulnerable to floods.

Answer: a flood is considered a natural disastor when destruction of huge masses are caused such as thousands of homes being washed away and millions of people bieng rendered homless

 

Explanation: flood in essence is called a flood only when its a natural disastor

Which is not a problem for the Polish economy?
A difficulty attracting foreign investors
B continued Russian domination
C price increases
D unemployment

Answers

Answer:

B. continued Russian domination

Credit goes to: unknown Quizlet user

The question what’s me to calculate how many miles it is from east to west across Colorado..I don’t know how to do that and we don’t have a ruler or anything just this map and scale bar.

Answers

It is in fact 2,381 miles from the West coast to Colorado

Which one of the following rivers forms the Northern plains?

Ganga

Yamuna

Brahmaputra

All of these

Answers

i know for sure the ganga and brahmaputra rivers do make up the northern plains, not sure about the yamuna. but since two do, then i would answer all of these

What happened to Mongolia in the late 1980s?

began a process of becoming free
became part of China
became part of the Soviet Union
began a process of becoming a democracy​

Answers

Answer:

began a process of becoming a democracy.

Who provide information that helps us plan our daily activities

Answers

Answer:

ANSWER: Routine provides information that helps us plan our daily activities.

In New England you can find marble, slate and gneiss. What TWO interpretations can you make about the geologic history of the area

Answers

Answer:

Plate tectonics moving high with heat and pressure and there was water there. A flood has a recurrence interval of four years.

Explanation:

Imagine you are flying from Boston to San Francisco. You leave Boston at 8:00 am.
What time is it in San Francisco?

Answers

Answer:

4 a.m . in the morning San Fran time at the time you depart Boston at 8: am. If for example, this is a 4 hour flight, you will arrive at San Fran at 8:00 a.m

Explanation:

Answer: 5 AM

Explanation:

California is in the Pacific Time Zone, which is three time zones behind Boston. Every time zone is one hour. So, It is 5 AM in san Francisco if it is 8 AM in Boston. Here to help!

Strong winds produce waves in the ocean. This is an example of interaction between the ocean and the

biosphere
cryosphere
atmosphere
hydrosphere

Answers

Answer:

Strong winds produce waves in the ocean. This is an example of interaction between the ocean and the atmosphere.

Answer:

atmosphere

Explanation:

Because wind is part of the atmosphere. Water (hydrosphere) plus wind (atmosphere) equals waves.

Have a good day.

Refer to Animation: Greenhouse Effect. Which of the answer choices is false? Approximately 50% of the sun's light energy does not reach the surface of the Earth. The Earth radiates heat energy back to the atmosphere. The greenhouse gases in the atmosphere have all come from human activity. Much of the heat that is lost from the Earth's surfaces is re-radiated back into the atmosphere by greenhouse gases. Light energy from the sun warms the surface of the Earth's continents and the ocean.

Answers

Answer:

The correct answer is :

The greenhouse gases in the atmosphere have all come from human activity.

Explanation:

The gases that are able to absorb and re radiate infra red radiation and heat and due to absorbing heat capacity trap and hold the infrared radiation and its heat known as green house gases. These groun house gases include methane, water vapor, CFC, carbon dioxide, ozone and nitrous oxide.

If the green house gases are not present naturally on earth there wouldn't be enough radiation or heat to prevent earth from freezing. The gaseous are form and use through various cycles.

However, a huge amount of carbon dioxide, CFC and methane are added by the human activity into the atmosphere, which is leading to trap heat more than required and cause green house effect.

Thus, the correct answer would be : The greenhouse gases in the atmosphere have all come from human activity.

Describe the Mediterranean climate zone. Where is it found, what is the weather like, and why is this climate zone important to the economics of the US and Canada?

Answers

Answer:

The west coast of Canada, Washington, Oregon, and northern

California all of Mediterranean west coast climate zones.  

Winters months are cold and rainy, while Summer months are generally clear and cool.  Steady amounts of precipitation throughout the entire year.  The precipitation provides rain for lower regions and lots and lots of snow for the mountains.  

The mountains are significant for the climate because they keep the moist ocean air from moving away from the coast.  

Coniferous forests thrive in this zone.

Both the USA and Canada have arable land.  This means that they can use this land to farm, and in turn, their economies are benefited.  The Mediterranean west coast provides things for the economy of the USA and Canada that other climate zones can't.

Other:

I know this was long, but I hope I'll be able to help you with this question!

Answer:

The Mediterranean weather is found on the Western coasts of continents, mostly between 30 and 43 degrees north and south of the equator. This type of weather is characterized by rainy winters and dry summer months. Areas that have this weather have traditionally been ideal for the cultivation of wheat, vine and olive. Cities in the United States that have this weather include San Francisco and Los Angeles, and California is therefore a large producer of these crops.

Explanation:

got 100% on edgen

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