G is the centroid of AABC, FC = 35, AG = 42, BF = 57, and DG = 14. Find BG.

G Is The Centroid Of AABC, FC = 35, AG = 42, BF = 57, And DG = 14. Find BG.

Answers

Answer 1

Answer:

[tex] BG = 38 [/tex]

Step-by-step explanation:

Based on centroid theorem of triangles:

[tex] BG = \frac{2}{3} \times BF [/tex]

[tex] BF = 57 [/tex]

Plug in the value into the equation

[tex] BG = \frac{2}{3} \times 57 [/tex]

[tex] BG = \frac{2 \times 57}{3} [/tex]

[tex] BG = \frac{114}{3} [/tex]

[tex] BG = 38 [/tex]


Related Questions

Graph the following equations and determin
y=-2x + 6
6x+3y=18

Answers

Answer:

both equations are the same

Step-by-step explanation:

please look at the images

Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
A)[(6 × 1.50) – 2] ÷ 2
B) 6 × 1.50 – 2 ÷ 2
C) 6 × [1.50 – (2 ÷ 2)]
D) 6 × 1.50 – (2 ÷ 2)

Answers

Answer:

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Step-by-step explanation:

Find the cost of 6 pounds of apples:

1 pound = $1.50

6 pounds = 6 x 1.5

Price after discount:

Discount = $2

Price after discount = (6 x 1.5) - 2

The cost is shared with her friend:

One person = [(6 x 1.5) - 2] ÷ 2

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

The balance owed on your credit card triples from $800 to $2400 in 9 months. If the balance is growing linearly then it would take 34.9 months to reach $7000. If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months? Round your answer to the nearest cent.

Answers

If, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.

Exponential

Using the given exponential to determine what would the balance be after 34.9 months.

f(x)=800(1+0.13)x

Where:

x=number of months

Hence:

f(x)=800(1+0.13)x

f(x)=800(1+0.13)^34.9

f(x)=800(1.13)^34.9

f(x)=800(71.19306287)

f(x)= $56,954.45

Therefore if, on the other hand, the balance is growing exponentially, f(x)=800(1+0.13)x where x represents the number of months, what would the balance be after 34.9 months is: $56,954.45.

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Find the GCF of 9 and 6.

Answers

Answer:3

Step-by-step explanation GCF of 6 and 9 is 3.

Alguien me ayuda en esto

Answers

Answer:

we can't see the words clearly

Step-by-step explanation:

The picture is very blurry i’m so sorry

No work needed to show just answer

Answers

Answer:

1.62 × 10⁸

hope it helps!

Help me out from 25-32 also show work (Geometry)

Answers

Answer:

Step-by-step explanation:

25.

x + 2x -75 = 90

3x = 90+75

3x = 165

x = 55

Measure of A = 55

Measure of B = 2(55) - 75 = 110 - 75 = 35

28.

2x+10-x+55 = 90

x = 90-65

x = 25

measure of A = 2(25) +10 = 60

measure of B = -25+55 = 30

31.

2x+3+3x - 223 = 180

5x -220 = 180

5x = 400

x = 80

measure of A = 163

measure of B = 17

32.

-4x+40+x+50 = 180

-3x +90 = 180

-3x = 90

x= -30

measure of A = -4(-30) +40 = 160

measure of B = -30+50 = 20

How many prime numbers in total are known as of November 2020?
No answer needed, just take the points.

Answers

Answer:

approximately glof glorf hundred

Step-by-step explanation:

if u subtract eighty from gloof glife you get glof glorf hundred

Step-by-step explanation:

There are 11 prime numbers : 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31

what is the value of x?
help would be so appreciated!

Answers

Answer:

x =23

Step-by-step explanation:

ok first, the full degree of a straight line is 180°

subtract 38° out of 180°

180-38= 142

so 6x+4= 142°

subtract 4 from both sides of the equation

6x +4 -4= 142-4

6x=138

divide 6 from 6x and 138

x=23

Simplify: -6x - x please

Answers

Answer:

-7x

Step-by-step explanation:

-6x - x =

-7x

655.4+?
= 65.54

I need help with this equation can you help me understand this?

Answers

Answer:−589.86

Step-by-step explanation:

let unknown number be x

Solve for x

655.4+x=65.54

Subtract 655.4 from both sides.

x=65.54−655.4

Subtract 655.4 from 65.54 to get −589.86.

x=−589.86

Factor the expression 12-8t

Answers

Answer:

factor 4 out of 12-8t

4(3-2t)

The width of a brick is half the​ length, which is 1 inch less than 4 times the height. If the sum of the three dimensions is 14.25 ​inches, find the volume of the brick.

Answers

Answer:

6inch

Step-by-step explanation:

Read the excerpt from The Crisis, Number I by Thomas Paine.

“I once felt all that kind of anger, which a man ought to feel, against the mean principles that are held by the Tories: a noted one, who kept a tavern at Amboy, was standing at his door, with as pretty a child in his hand, about eight or nine years old, as I ever saw, and after speaking his mind as freely as he thought was prudent, finished with this unfatherly expression, ‘Well! give me peace in my day.’ Not a man lives on the continent but fully believes that a separation must some time or other finally take place, and a generous parent should have said, ‘If there must be trouble, let it be in my day, that my child may have peace;’ and this single reflection, well applied, is sufficient to awaken every man to duty.”

Which is a central idea of this excerpt?

Paine feels that everyone should be able to speak freely, which is why he supports independence.

Paine believes that colonists should fight for independence so their children can live in peace.

Paine believes that some people are selfish and place their needs above others.

Paine felt anger for the first time when he saw an interaction between a Tory and a child.

Identify the property of equality that justifies the missing step in solving the equation below

Answers

Answer:

property of equality that justifies the missing step is Division property of equality

Step-by-step explanation:

We need to Identify the property of equality that justifies the missing step

[tex]28=4x-8\\28+8=4x\\36=4x[/tex]

Now, we divide both sides by 4 using division property of equality as it states that [tex]\frac{a}{c}=\frac{b}{c}[/tex]

[tex]\frac{36}{4}=\frac{4x}{4}\\9=x[/tex]

So, The property of equality that justifies the missing step is Division property of equality

Need help will mark Brainliest

Answers

Answer:

SAS Translation

Step-by-step explanation:

The triangle just moved over, it didn't rotate or flip.

Find the next three numbers 1, 0.6, 0.36, 0.216

Answers

Answer: The answer is everytime you mutiply in by 0.6

Step-by-step explanation:

10
11
For questions 6-8, determine the number of solutions.
Type your answers as one, none, or many (no capital letters)
6
4(x + 5) - 2 = 18 + 4x


Answers

the answer to that would be many

Which of the following is a universal quantifier?

A)At least one
B)few
C)some
D)all

Answers

Answer:

c

Step-by-step explanation:

the answer is c) somae

C is going to be your answer

PLS HURRY!!!
Solve the equation. What is the value of x

1/3 (x + 1) + 2x=2

Answers

Answer:

Decimal: -0.5

Fraction: - 1/2

Step-by-step explanation:

need help please!!!!!​

Answers

Answer:

chance of wanted outcome/all possible outcomes

Step-by-step explanation:

Slove each system by graphing
16-+4y+5x=0
-48-12y=-9x

Answers

The system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.

We are given a system of equations as:

16 + 4 y + 5 x = 0    … (1)

- 48 - 12 y = - 9 x

- 16 - 4 y = - 9 x

9 x - 16 = 4 y   … (2)

Substitute the equation (2) in the equation (1), we get that:

16 + 9 x - 16 + 5 x = 0

14 x = 0

x = 0

4 y = 9 ( 0 ) - 16

4 y = - 16

y = - 16 / 4

y = - 4

Therefore, we get that, the system of equations 16 + 4 y + 5 x = 0 and - 48 - 12 y = - 9 x will have the solution as x = 0 and y = - 4.

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Can someone explain these two?

Answers

Answer:

I believe you cancel out values if there are the same ones for the numerator and dominator.

For example:

[tex]\frac{x^4+x^2+x-3}{x^4+x^3-3}[/tex]

Since both the numerator and dominator have [tex]x^4[/tex] and -3, you are able to cancel them out.

This would leave you with [tex]\frac{x^2+x}{x^3}[/tex]

Notes: the exponents have to be the same number in order to cancel out the values.

Answer:

  11.  C) x +1

  12.  B) x -1

Step-by-step explanation:

You want the simplified form of a couple given rational expressions.

Each of the polynomials can be factored by pairs. Common factors can be cancelled.

11.

Factoring numerator and denominator pairwise, we have ...

  [tex]\dfrac{x^3+2x^2-x-2}{x^2+2x-x-2}=\dfrac{x^2(x+2)-1(x+2)}{x(x+2)-1(x+2)}=\dfrac{(x^2-1)(x+2)}{(x-1)(x+2)}\\\\=\dfrac{x^2-1}{x-1}=\dfrac{(x+1)(x-1)}{(x-1)}=\boxed{x+1}[/tex]

12.

Factoring the numerator pairwise,, we have ...

  [tex]\dfrac{x^5-x^4+x^3-x^2+x-1}{x^4+x^2+1}=\dfrac{x^4(x-1)+x^2(x-1)+1(x-1)}{x^4+x^2+1}\\\\=\dfrac{(x^4+x^2+1)(x-1)}{(x^4+x^2+1)}=\boxed{x-1}[/tex]

-12+5x-x=x-7+7
solve linear equation

Answers

Answer:

[tex] \Large{\boxed{\sf x = 4}} [/tex]

[tex] \\ [/tex]

Explanation:

Solving this equation means finding the value of 'x' that makes the equality true.

[tex] \\ [/tex]

Given equation:

[tex] \sf -12 + 5x - x = x - 7 + 7 [/tex]

[tex] \\ [/tex]

Combine like terms:

[tex] \sf -12 + (5x - x) = x + (-7 + 7) \\ \\ \sf -12 + 4x = x [/tex]

[tex] \\ [/tex]

Now, we move the variables to the right side of the equation by subtracting 4x from both sides:

[tex] \sf -12 + 4x - 4x = x - 4x \\ \\ \sf -12 = -3x [/tex]

[tex] \\ [/tex]

Finally, divide both sides of the equation by the coefficient of the variable, -3:

[tex] \sf \dfrac{-12}{-3} = \dfrac{-3x}{-3} \\ \\ \\ \boxed{\boxed{\sf x = 4}} [/tex]

[tex] \\ \\ [/tex]

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Evaluate: 2/3 + 5/8 + 1/4

Answers

Answer: 1.54166666667 Hope that helped

find the missing side and round to the nearest tenth

Answers

Answer:

Do you have any numbers?

Can somebody answer this?

Answers

Answer:

-4x/-2y

Step-by-step explanation:

16x - y - 4x + 1

---------------------

16x - y - 2y - 1

= - 4x/- 2y

Hope this helped!

Last year there were 40 members in the drama club .This year the club has 32 members.By what percentage has the number of members decreased?
F.25%
G.16%
H.20%
J.80%

Answers

Answer: 20%

Step-by-step explanation:

32/40

Divide both by 2

16/20

Multiply by 5

80/100

Subtract 80 by 100

Answer: 20

A flagpole casts a shadow that is 30 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 60 inches long. How tall is the flagpole to the nearest foot?

Answers

Answer:

5 feet and 60 inch

Step-by-step explanation:

5 feet and 60 inches

Step-by-step explanation:

a. 48 square centimeters
b. 19 square centimeters
c. 42 square centimeters
d. 24 square centimeters

Answers

Answer:48

Step-by-step explanation:

plz help me with this??!

Answers

Step-by-step explanation:

–5/6 + 7/5 = –25/30 + 42/30

= 17/30

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