SAT High School

In triangle def, cg = (x + 5) units and dg = (3x - 2) units. [figure may not be drawn to sacle] what is dg? 12 units 17 units 34 units 51 units.

Answers

Answer 1

The length of the segment DG is 34 units

How to determine the length DG?

The attached figure represents the missing information in the question

The point G is the centroid of the triangle.

This means that:

CG : DG = 1 : 2

Express as fraction

CG/DG = 1/2

Multiply both sides by 2

DG = 2 * CG

Substitute the given parameters:

3x - 2 = 2 *(x + 5)

Expand

3x - 2 = 2x + 10

Evaluate the like terms

x = 12

Recall that:

DG = 3x - 2

So, we have:

DG = 3 * 12 - 2

Evaluate

DG = 34

Hence, the length DG is 34 units

Related Questions

Financial institutions charge a fee for an overdrawn account because _____.

Answers

Overdraft fees are the fees an individual incurred when they spend more money than they have available in their bank account. Financial institutions charge a fee for an overdrawn account because the individual do not have enough cash in the account to cover a payment made.

Therefore, As part of an overdraft protection service, the bank covers the difference for you and banks usually charge about $35 per instance, showing that one can be charged multiple overdraft fees in a single day.

A bank charges an overdraft fee if a purchase by a customer will overdraw their account. The bank tend to cover the overdraft so the transaction goes through.

This transaction only takes place if there is a transaction against your account that takes the balance of your account below zero.

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What is the factored form of the polynomial? x2 – 16x 48 (x − 4)(x − 12) (x − 6)(x − 8) (x 4)(x 12) (x 6)(x 8).

Answers

Answer:

(x-4)(x-12)

Explanation:

Break the expression into groups

[tex](x^2 - 4x) + (-12x+48)\\[/tex]

Factor out x from x^2 - 4x : [tex]x(x-4)\\[/tex]

Factor out -12 from -12x + 48: [tex]-12(x-4)[/tex]

= x(x-4)-12(x-4)

Factor out common term x-4

= (x-4)(x-12)

Raven can walk 2. 4 miles in 36 minutes. At this rate, how far can she walk in 1 hour?.

Answers

Answer:

Explanation:

2.4/36 to find how many miles in one minute

0.0666666667×60= 4 miles

Answer:

4 miles

Explanation:

1 hour = 60 minutes

in 36 minutes = 2.4/36

in 1 hour = 2.4/36 × 60 = 4

so the answer is 4 miles

Which group is made up of organisms that are all members of the same kingdom?.

Answers

Answer:

cat , frog , mushroom , graas , worm , shark , mold , bacteria , apple tree , fern , rose bush , corn plant

The group that is made up of organisms that are all members of the same kingdom is fern, rose bush, and corn plant. The correct option is D.

What is taxonomic rank?

Taxonomic rank is the relative level of a group of organisms in an ancestral or hereditary hierarchy in biological classification.

A common system consists of the following elements: species, genus, family, order, class, phylum, kingdom, and domain. Cladistics is another term for the study of taxonomy.

When it comes to taxonomic rank, the kingdom is the second highest, with smaller groups known as phyla.

Plantae is divided into four evolutionary related groups: bryophytes (mosses), seedless vascular plants, gymnosperms (cone bearing seed plants), and angiosperms (flowering seed plants).

Kingdom Plantae consists of autotrophic, multicellular, photosynthetic eukaryotes. These are mostly non-motile, embryo-forming organisms that serve primarily as producers in the ecosystem by converting solar energy into chemical energy via photosynthesis.

Thus, the correct option is D.

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Your question seems incomplete, the missing options are:

cat, frog, and mushroom

grass, worm, and shark

mold, bacteria, and apple tree

fern, rose bush, and corn plant

The office supply superstore sells pens for 60 cents.

Answers

Is there suppose to be a picture or more to the question?

It is also known as jingju lianpu that is done with different colors in accordance with the performing characters, personality and historical assessment.

Answers

The traditional form of make-up worn in other to draw resemblance or attain a certain type of effect related to the personality of the character portrayed in an opera is called the Peking Opera.

In other to conform with the nature or attribute of a certain character which is mimicked in an opera, the use of face - paints which signals different historical effects are used.

The Peking opera is very common in the Chinese traditional culture, the gold color symbolizes being god fearing and other color symbols.

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How biology can be studied from a microscopic approach to a global approach.

Answers

Biology can study from the smallest cell and its organelles to the largest community's ecosystems.

Please give brainliest!

Which of the following is a viral infection that most adults contract 2 to 4 times a year? A. Bacterial pneumonia B. Strep throat C. Influenza D. The common cold.

Answers

Answer:

D.the common cold

Explanation:

Answer:

The answer is indeed D ;)

Explanation:

What does daisy reveal when the group is at the plaza hotel.

Answers

Answer:

She knows why she and Tom had to leave Chicago.

Explanation:

Answer:

She knows why she and Tom had to leave Chicago.

Explanation:

What does ms. Willow mean by the note she wrote in jerome's card?.

Answers

Answer:

can you elaborate???

Explanation:

Answer:

If you would please attach the note too so we can answer I'd love to help.

Explanation:

In your answer sheet write the letter of the correct answer which is a polynomial function.

Answers

Answer:

link

Explanation:

https//Andrea//com. ph

Decide whether the sentence is correct or incorrect as written. El hospital está en el centro de la ciudad. Correct incorrect.

Answers

Answer:

CORRECT.

Explanation:

If a minor is caught driving with a bac between. 01% and. 08%, he or she will _____.

Answers

Based on the rules and regulations guiding DUI, if a minor is caught driving with a BAC between. 01% and. 08%, they will be "fined up to $2000 and can be sent to jail for 180 days."

Who is a Minor?

A Minor is an individual under the law who is yet to reach a certain determined age for specific action.

Usually, individuals stop being minors when they reach age 18 and above.

What does BAC mean?

BAC is an acronym for Blood Alcohol Concentration.

Therefore, given the existing rules and regulations, when a minor is caught driving with a BAC of 0.01% and 0.08%, they will be "fined up to $2000 and can be sent to jail for 180 days."

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Albert einstein (1)______ born in germany in 1879. In 1895, he (2)______to school in switzerland. After college, he (3)______ in switzerland for 28 years, and then he (4)______ to the us in 1933. He (5)______ in 1955 in the us.

Answers

Answer:

1) was

2) went

3) move to the

4) will be

5) is

Explanation:

I hope it will help u

Albert Einstein WAS born in Germany in 1879. In 1895, he WENT to school in Switzerland. After college, he LIVED in Switzerland for 28 years, and then he MOVED to the US in 1933. He DIED in 1955 in the US.

Albert Einstein was a German physicist who developed the theory of relativity.

Albert Einstein is popularly known due to his huge intelligence, and he won the Nobel Prize (1921).

Einstein's work is today very important to understand the origin of the Universe.

In conclusion, Albert Einstein WAS born in Germany in 1879. In 1895, he WENT to school in Switzerland. After college, he LIVED in Switzerland for 28 years, and then he MOVED to the US in 1933. He DIED in 1955 in the US.

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What topics would you discuss.

Answers

Answer:

I think this is a self question on the test, I can't make your decisions.

What is the 'stute fish’s motivation? to keep the whale full and happy to teach the whale a life lesson to escape being eaten by the whale to ask the whale for protection.

Answers

Answer:

C - to escape being eaten by the whale

I'm taking the test :)

Based on the excerpt from “How the Whale Got His Throat,” the 'Stute Fish’s motivation is: C. to escape being eaten by the Whale.

How the Whale Got His Throat?

This is a short fictional story that is written by a Whale and a small fish referred to as 'Stute Fish. The Whale had eaten all the other fishes in the sea except for the 'Stute Fish, which swam a little behind the Whale's right ear, so as to avoid being harmed.

Based on the excerpt from “How the Whale Got His Throat,” we can infer and logically conclude that the 'Stute Fish’s motivation is to escape being eaten by the Whale, when it asked "Noble and generous Cetacean, have you ever tasted Man?"

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Use stokes' theorem to evaluate s curl f · ds. F(x, y, z) = x2 sin(z)i + y2j + xyk, s is the part of the paraboloid z = 1 − x2 − y2 that lies above the xy-plane, oriented upward.

Answers

The boundary of S is the unit circle C in the (x, y) plane with equation x² + y² = 1, which we can parameterize by

r(t) = x(t) i + y(t) j + z(t) k

with 0 ≤ t ≤ 2π, where

x(t) = cos(t)

y(t) = sin(t)

z(t) = 0

so that

dr = (dx/dt i + dy/dt j + dz/dt k) dt = (sin(t) i - cos(t) j) dt

By Stokes' theorem, the surface integral of the curl of F across S is equal to the line integral of F along C :

[tex]\displaystyle \iint_S \mathrm{curl} F \cdot d\vec s = \int_C \vec F \cdot d\vec r[/tex]

We have

[tex]\vec F(x(t), y(t), z(t)) = \sin^2(t) \, \vec\jmath + \sin(t) \cos(t) \, \vec k[/tex]

[tex]\implies \vec F \cdot d\vec r = -\sin^2(t)\cos(t) \, dt[/tex]

so the line integral is

[tex]\displaystyle \int_C \vec F \cdot d\vec r = - \int_0^{2\pi} \sin^2(t) \cos(t) \, dt[/tex]

Substitute u = sin(t) and du = cos(t) dt :

[tex]\displaystyle \int_C \vec F \cdot d\vec r = - \int_0^0 u^2 \, du = \boxed{0}[/tex]

How many aluminum atoms are there in 3. 50 grams of al2o3?.

Answers

Hope it helps()()()()*)())*)*)*;*)*;)

Stretching before and after a workout allows for __________. A. Minimal soreness B. Maintained flexibility C. Notation of increased flexibility D. All of the above Please select the best answer from the choices provided. A B C D.

Answers

Answer:

D on edge, brainliest plz?

Explanation:

hope this helps

The benefits of stretching before and after a workout are; All the given options A B C and D

What is the importance of Stretching?

There are different means of doing exercises such as skipping, running, push ups, sit ups, planks, stretching, jogging e.t.c

Now, exercises have different benefits and stretching is no exception because it has a lot of benefits such as ensuring you have minimal soreness, maintained flexibility and notation of increased flexibility.

Thus, we can conlcude that the benefits of stretching include all the given options.

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What are some ways each person could reduce air pollution and energy consumption? a. Adjust the temperature settings - hotter in winter and cooler in summer b. Adjust the temperature settings - cooler in winter and hotter in summer c. Cut down trees near the house d. Replace plumbing fixtures that leak.

Answers

Answer:

Ionic bonds form when a nonmetal and a metal exchange electrons, while covalent bonds form when electrons are shared between two nonmetals. An ionic bond is a type of chemical bond formed through an electrostatic attraction between two oppositely charged ions.

Explanation:

Answer:

Explanation:

e2020

List and describe four ways in which colleges use ACT scores.
if its correct u get brainly

Answers

Colleges use ACT scores as a key factor in the admission process, scholarship, placement and eligibility

Describing the ways to use ACT scores

Admission: Colleges use ACT scores as a key factor in the admission process. Many colleges have a minimum ACT score requirement for admission, and students who score below the minimum may not be accepted. The score also helps admissions officers evaluate applicants and determine their academic preparedness for college.

Scholarship awards: Many colleges offer scholarships based on ACT scores. Students who score high on the ACT may be eligible for more scholarship money, which can help offset the cost of tuition.

Placement: Colleges use ACT scores to place students in appropriate courses. Students who score well on the ACT may be able to bypass introductory courses and enroll in higher-level courses, while students who score lower may need to take remedial courses to build foundational knowledge.

Program eligibility: Some programs at colleges have specific ACT score requirements for admission. For example, students who want to enter a pre-med or engineering program may need a minimum ACT score to be considered for admission. The score also helps determine eligibility for honors programs or other specialized programs within the college.

Answers

Answer:

earthquakes

Explanation:

Did the quiz

Hope this helps

Enjoy your day!

There is a diverging boundary formed when two tectonic plates separate. Earthquakes regularly happen at these boundaries when magma (molten rock, for San Andreas Fault Zone.

What is transform plate movement?

Rises from the Earth's mantle to the surface and solidifies to build a new oceanic crust. The Mid-Atlantic Ridge, for instance, has divergent plate boundaries.

When the motion is largely horizontal, a fault at a plate boundary is referred to as a transform fault or transform boundary.

When it merges with another plate boundary, which might be a spreading ridge, a subduction zone, or another transform, it ends abruptly.

Therefore, San Andreas Fault Zone has to transform plate movement due to earthquakes.

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Predict the missing component of each reaction. 2Na Cl2 mc001-1. Jpg ? 2NaCl 2NaCl2 Na2Cl 2NaO Cl2 2MgO mc002-1. Jpg ? 2Mg H2O 2Mg O2 MgOH O2 MgO O2.

Answers

Answer:

2Na + Cl2 → 2NaCl

2MgO → 2Mg + O2

Explanation:

Edge Answer :)

Answer:

2NaCl and 2Mg + O2

Explanation:

A and B got it right on edg :)

How many ways can we award first and second place to 5 competitors.

Answers

Answer:

There are 5 choices of prize for the first person, 4 choices for the second, and so on. The number of ways the prizes can be distributed will be 5! = 5 · 4 · 3 · 2 · 1 = 120 ways.

Explanation:

We should appreciate that the telephone here have been working as efficient as in the past.

Answers

I agree thats is very true

Which statement best defines the term civil liberties? Equal rights that every person has or should have. Freedoms that the government protects with laws. Rights related to criminal justice in the United States. Rights that are not explained or listed in the Constitution.

Answers

The statement which best defines the term civil liberties is: B. Freedoms that the government protects with laws.

Civil liberties can be defined as the freedoms and guarantees that the government of a particular country commit to protect with laws.

Hence, the government of a country commits not to abridge civil liberties either by legislation, Constitution (laws), or judicial interpretation, without recourse to due process.

In conclusion, civil liberties are freedoms that the government protects with laws.

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Answer:

B. Freedoms that the government protects with laws.

Explanation:

Why did Alf Landon and conservative leaders oppose the New Deal? Check all of the boxes that apply. They thought that the New Deal didn’t introduce enough regulation in business. They thought that the New Deal raised taxes too much. They thought that the New Deal kept states from regulating their own affairs. They thought that the New Deal interfered with business and labor practices. They thought that the New Deal gave Roosevelt too much power and influence.

Answers

Answer:

B C D E

They thought that the New Deal raised taxes too much.

They thought that the New Deal kept states from regulating their own affairs.

They thought that the New Deal interferes with business and labor practices.

They thought that the New Deal gave Roosevelt too much power and influence.

Explanation:

I got it right on edge 2021

Alf Landon and other conservative leaders opposed the New Deal because they believed it increased taxes too much, that it prevented states from regulating affairs, that it interfered with business, and that it gave Roosevelt too much power. Thus, options B, C, D, and E are correct.

Who was the Alf Landon?

Alfred Mossman Landon was an American businessman and politician who served as Kansas' 26th governor from 1933 to 1937. He was the Republican Party's nominee in the 1936 presidential election, but he was soundly defeated by incumbent President Franklin D. Roosevelt.

Alf Landon and other conservative leaders opposed the New Deal because they believed it increased taxes too much, restricted states' ability to regulate their own affairs, interfered with business and labour practises, and gave Roosevelt too much power and influence.

Therefore, option B, C, D, and E are correct.

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Choose the best Spanish word to complete the sentence. ________ las dos y veinte. Es Son Está Están.

Answers

Answer:son

Explanation:

Answer: I think it's "son"

Explanation: I just do

If f(x) = 3x2 1 and g(x) = 1 – x, what is the value of (f – g)(2)?.

Answers

Answer:

14 is the answer

Explanation:

Ms. Johnson uses a statistics program to analyze all the data collected by her students during a lab experiment about acceleration due to gravity. The program reports =31. 5 and. What is the variance of the data? Round to the nearest tenth. 1. 6 2. 5 5. 6 6. 3.

Answers

99990 Explanation:

20-00

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