Given the triangle below with centroid G, determine the following values.

If EG=3.5, then GB= and BE= If AD=15, then AG= and DG= If CG=6x, then FG- and CF=

Given The Triangle Below With Centroid G, Determine The Following Values. If EG=3.5, Then GB= And BE=

Answers

Answer 1

Answer:

GB = 7

BE = 10.5

AG = 10

DG = 5

FG = 3·x

CF = 9·x

Step-by-step explanation:

The given parameters are;

The centroid of the ΔABC = G

Segments CF, BE, and AD are median lines

EG = 3.5 Given

∴ EG = 1/3 × BE by definition of the properties of median line

∴ BE = 3 × EG = 3 × 3.5 = 10.5

BE = 10.5

GB = 2/3 × BE = 2/3 × 10.5 = 7 by definition of the properties of median line BE

GB = 7

Similarly;

Given that AD = 15, AG = 2/3 × AD = 2/3 × 15 = 10 by definition of the properties of median line AD

AD = 10

DG = 1/3 × AD = 1/3 × 15 = 5 by definition of the properties of median line AD

DG = 5

Similarly;

Given  CG = 6·x

FG = 1/3 × CF

CF = 3 × FG

CG = 2/3 × CF = 2/3 × 3 × FG

∴ CG = 2 × FG

FG = CG/2 = 6·x/

2 = 3·x

FG = 3·x

CF = 3 × FG = CF = 3 × 3 × x = 9·x

CF = 9·x


Related Questions

If $140.06 is charge for 47 kilowatt-hours of electricity, the rate is _________ centavos per kilowatt-hours

Answers

Answer:

2.98 centavos

Step-by-step explanation:

Divide 140.06 by 47

please help will give brainliest! :)

Answers

The answer is 13 square units :)

Answer:

it's 13 square units hope this helps

One Step Equations
solve for x

2.4+x=9.8

Answers

Answer:

x=7.4

Step-by-step explanation:

2.4+x=9.8

(x=9.8-2.4)

x=7.4

Answer:

7.4

Step-by-step explanation:

2.4+x=9.8

subtract 2.4 from both sides to get:

x=7.4

that's your answer :)

2x - 5y + 3z = 27
4x + 3y - 7z=-37
x - 2y + 5z = 30
I need help solving this with cramers rule

Answers

Step-by-step explanation: answer {x,y,z} = {1,-2,5}

/ Solve equation [3] for the variable x

[3] x = 2y - 5z + 30

// Plug this in for variable x in equation [1]

[1] 2•(2y-5z+30) - 5y + 3z = 27

[1] - y - 7z = -33

// Plug this in for variable x in equation [2]

[2] 4•(2y-5z+30) + 3y - 7z = -37

[2] 11y - 27z = -157

// Solve equation [1] for the variable y

[1] y = -7z + 33

// Plug this in for variable y in equation [2]

[2] 11•(-7z+33) - 27z = -157

[2] - 104z = -520

// Solve equation [2] for the variable z

[2] 104z = 520

[2] z = 5

// By now we know this much :

x = 2y-5z+30

y = -7z+33

z = 5

// Use the z value to solve for y

y = -7(5)+33 = -2

// Use the y and z values to solve for x

x = 2(-2)-5(5)+30 = 1

Is this a function (1,17),(0,16),(0,15),(-2.17)

Answers

Answer:

no

Step-by-step explanation:

because there is two 0

Geometry - Unit 2 Readiness Assessment
This assessment is to identify your current math knowledge. Do not worry if you do not know all of the
answers. Please try to answer every question.
1.
Which best describes the relationship between polygon GHJK and polygon G'H'J'K?
A. They are similar because polygon G'H'J'K' can
be obtained from polygon GHJK by a sequence
of transformations.
B. They are similar because the area of polygon
G'H'J'K' is the same as the area of polygon
GHJK.
C. They are NOT similar because polygon
G'H'J'K' cannot be obtained from polygon
GHJK in a single transformation.
KA
D. They are NOT similar because the orientation of
polygon G'H'J'K' is not the same as the
orientation of polyon GHIK

Answers

Answer:

1. A. They are similar because polygon G'H'J'K' can be obtained from polygon GHJK by a sequence of transformation

2. B. Reflection across the y-axis

Step-by-step explanation:

1) The coordinates of the sides of the polygon are;

G(-6, 8), H(-2, 4), J(-4, 2), and K(-8, 2)

G'(3, -1), H'(1, -3), J'(2, -4), K'(4, -4)

The length, l, of the sides are;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Length of GH = √((8 - 4)² + ((-6) - (-2))²)  = 4·√2

Length of HJ = √((2 - 4)² + ((-4) - (-2))²)  = 2·√2

Length of JK = √((2 - 2)² + ((-4) - (-8))²)  = 4

Length of KG = √((2 - 8)² + ((-8) - (-6))²)  = 2·√10

Similarly, we have;

Length of G'H' = √(((-3) - (-1))² + (1 - 3)²)  = 2·√2

Length of H'J' = √(((-3) - (-4))² + (1 - 2)²)  = √2

Length of J'K' = √(((-4) - (-4))² + ((4)- 2)²)  = 2  

Length of K'G' = √(((-4) - (-1))² + ((4) - 3)²)  = √10  

Therefore, the polygon G'H'J'K' can be obtained from the polygon GHJK by scaling down by a factor of 2, and the two polygons are similar

2) Given that the coordinates of figure 2 are (-2, 3) (-3, 5), (-4, 1), and (-6, 1), while the corresponding coordinates of figure 3 are (2, 3), (3, 5), (4, 1), and (6, 1) which is equivalent to a transformation from (x, y) to (-x, y) which is the  transformation involved in a reflection across the y-axis

Both the polygons are similar because polygon G'H'J'K' can  be obtained from polygon GHJK by a sequence  of transformations.

Given :

Polygon GHJK and polygon G'H'J'K'.Coordinates  -- G(-6,8), H(-2,4), J(-4,2), K(-8,2), G'(3,-1), H'(1,-3), J'(2,-4), and K'(4,-4).

The distance formula can be used in order to determine the length of segments of the given polygon.

[tex]\rm GH=\sqrt{(-2+6)^2+(4-8)^2} =\sqrt{32}[/tex]

[tex]\rm HJ=\sqrt{(-4+2)^2+(2-4)^2} =\sqrt{8}[/tex]

[tex]\rm JK=\sqrt{(-8+4)^2+(2-2)^2} =\sqrt{16}=4[/tex]

[tex]\rm GK=\sqrt{(-8+6)^2+(2-8)^2} =\sqrt{40}[/tex]

[tex]\rm G'H'=\sqrt{(1-3)^2+(-3+1)^2} =\sqrt{8}[/tex]

[tex]\rm H'J'=\sqrt{(2-1)^2+(-4+3)^2} =\sqrt{2}[/tex]

[tex]\rm J'K'=\sqrt{(4-2)^2+(-4+4)^2} =\sqrt{4}=2[/tex]

[tex]\rm G'K'=\sqrt{(-4+1)^2+(4-3)^2} =\sqrt{10}[/tex]

Therefore, the correct option is A) They are similar because polygon G'H'J'K' can  be obtained from polygon GHJK by a sequence  of transformations.

For more information, refer to the link given below:

https://brainly.com/question/17756657

PLSSS HELP PLSSSS IM SUFFERING IM NOT A LAZY NOR BAD STUDENT BIT THIS IS HARD FOR MEEE PLSSS HELPPP

Answers

Answer:

OOP

Step-by-step explanation:

oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop oop!

i need help with #4
anyone pls?

Answers

Answer:

C. 0 6 10

Step-by-Step-Explanation:

the number on the left of the indicated operation is the original set

the number '2' next to R shows that you need to multiply certain numbers by 2

the subscript on the R's shows which row the multiplication needs to be done on...

so in this case, leave the second row alone: 1  3  4

but multiply the first row by 2: 0  6  10

I have an unanswered question for 50 points right now it's pretty hard but my brother needs help he is almost in tears please I feel so bad for him

Answers

where is the question

Answer:

hi

Step-by-step explanation:

hi

ABC = EDC, AB = 7 A=40° E = ?

Answers

Answer:

This equation is unsolvable, You may have inputted it wrong. revise and try again.

Step-by-step explanation:

What is the value of 2.4 -(-3.6)?

Answers

Answer:

6 positive

Step-by-step explanation:

if u subtract a negative you are really just adding a positive. ok? ok.

Answer:

6

Step-by-step explanation:

2.4 - (-3.6) is as if it's addition. You're subtracting a negative number, so it becomes like addition.

It's as if someone had 10 apples and left and you got the apples, so the act of removing them got you more apples.

Linear equation: -1
2
(6x + 10) = 13
Step 1: –3x – 5 = 13
Step 2: –3x = 18
Step 3: x = –6
Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation?
the addition property of equality and then the division property of equality
the addition property of equality and then the multiplication property of equality
the subtraction property of equality and then the division property of equality
the subtraction property of equality and then the multiplication property of equality

Answers

Answer:

The right answer is:

the addition property of equality and then the division property of equality

Step-by-step explanation:

Given equation and steps to solve it are:

Step 1: –3x – 5 = 13

Step 2: –3x = 18

Step 3: x = –6

In step two, -5 has to be removed from left hand side of the equation so additional property of equality will be used i.e. adding 5 on both sides

Similarly in the third step, to remove -3 with x , division property of equality will be used i.e. dividing both sides by -3

Hence,

The right answer is:

the addition property of equality and then the division property of equality

Answer:

A) the addition property of equality and then the division property of equality

Step-by-step explanation:

What is the value of x in the equation -2/3x9=-3

Answers

Answer:

your equation is false

PLEASE ANSWER QUICKLY
Explain the steps to solve for g in the equation −1/3g+5=2 .

Answers

Answer:

g = 9. I hope that I help my buddy out :)

Answer:

g=9

Step-by-step explanation:

Step 1: Subtract 5 from both sides.

-1/3g=5-5=2-5

-1/3g=-3

Step 2: Multiply both sides by 3/(-1).

(3/-1) x (-1/3g)=(3/-1) x (-3)

ANSWER g=9

If the complex number x = 3 + bi and |x|² = 13, which is a possible value of b?
A) 2
B) 4
C) 9
D) 10

Answers

Answer: the answer is A my guy

Step-by-step explanation: took the test

Can I have the answer to these pls

Answers

Answer:

6) 4n+w+4h-b-16

Terms: 4n, w, 4h, -b, -16

Variable: n, w, h, b

Constant: -16

Coefficients: 4, 1, 4, -1

Step-by-step explanation:

Terms:

just substitute the '+' and '-' with comma.

For example: b+4x+54+6y+22 becomes b, 4x, 54, 6y, 22

Variables:

just list the letters (only)

For example: 8y-7+2y becomes x, y

Constants:

it is the number by themselves, no letter

For example: 5-4x-8y becomes just 5

Coefficients:

the number in front of letter (dont forget the sign, also if no number such as 'b', the coefficient is 1 because we dont typically write 1, it is assumed it goes there)

For example: 6m-2n+7 becomes 6 and -2

Please help me!
The basketball team of Martin Luther King High School won 12 of its first 15 games. Then it won its next 3 games. The percent of winning games was:
(A) 80% (B) 75% (C) 60% (D) 83 1/3 % (E) 78%

Answers

Answer:

D

Step-by-step explanation:

15/18 is 83 1/3

BTW do you go to RSM?

Answer:

D: 83 1/3%

Step-by-step explanation:

They won 15/18 games. 15/18 is 0.83333333333... Therefore, 83 1/3%.

what is the slope of the line that passes through the points A(-2,-1) and D (3,5)?​

Answers

Answer:

6/5

Step-by-step explanation:

m=(y2-y1) /(x2-x1)

m=(5-(-1)) / (3-(-2))

m=(5+1) /(3+2)

m=6/5

If p→q is true and p is true, then we know q is true.

True
False

Answers

Answer:

false

Step-by-step explanation:

Can anyone help please? I just need the Y-intercept is all, Thank you!

Answers

Answer:

4.95

Step-by-step explanation:


What is the final answer?

Answers

4 bc I’m smart and I passed
It’s 4 I did it too :)

It took 45 minutes to jog 5 miles. At this rate, how long did it take to jog 1
mile? *

Answers

Answer:

9 minutes

Step-by-step explanation:

45 ÷ 5 = 9

Therefore, it was 9 mins / mile

Hopefully this helped! :D

-LavenderVye

Answer:

9 minutes to jog 1 mile

Step-by-step explanation:

Time = 45

Distance = 5

Speed = [tex]\frac{Distance}{Time}[/tex]

           = [tex]\frac{45}{5}[/tex]

           =  9

Mrs. Sung gave a test in her trignonmetry class. The scores were normally distributed with a mean of 85 and a standard deviation of 3.

What percent would you expect to score between 88 and 91? Round answer to the nearest tenth.

Answers

Answer and explanation:

67% as it's +/- one standard deviation from the mean

PLS ANSWER I NEED HELP ASAP RUNNING OUT OF TIME ANSWER ONLY IF U KNOW I WILL MAKE YOU THE BRANILEST.
Identify the set of ordered pairs that represents y as a function of x.


A. {(0, 0), (1, 0), (2, 4), (2, 3)}
B. {(0, 0), (1, 1), (2, 2), (3, 3)}
C. {(−1, 0), (−1, 1), (−2, 2), (0, 3)}
D. {(−1, 1), (−2, 0), (−3, 4), (−3, 3)}

Answers

Answer:

It is B

Step-by-step explanation:

the x and y are the same

Suppose the average lifetime of a certain type of car battery is known to be 60 months. Consider conducting a two-sided test on it based on a sample of size 25 from a normal distribution with a population standard deviation of 4 months.a) If the true average lifetime is 62 months and ďˇ =0.01, what is the probability of a type II error

Answers

Answer:

0.53187998

Step-by-step explanation:

We are given;

Population mean; μ = 60

Sample size; n = 25

Population standard deviation; σ = 4

Significance level; α = 0.01

Let's define the hypothesis;

Null hypothesis;H0: μ = 60

Alternative hypothesis;Ha: μ ≠ 60

Z-score for a significance level of 0.01 from tables is z = 2.575

Since it's a 2 sided test, then;

Z-score at lower limit = -2.575

Z-score at upper limit = 2.575

We know that z-score formula is;

z = (x¯ - μ)/(σ/√n)

At lower limit;

-2.575 = (x¯ - 60)/(4/√25)

-2.575 × 0.8 = x¯ - 60

-2.06 = x¯ - 60

x¯ = 60 - 2.06

x¯ = 57.94

At upper-limit;

2.575 = (x¯ - 60)/(4/√25)

2.575 × 0.8 = x¯ - 60

2.06 = x¯ - 60

x¯ = 60 + 2.06

x¯ = 62.06

the probability of a type II error is expressed as:

β = P(57.94 < x¯ < 62.06)

If the true average lifetime is 62 months, then;

β = P((57.94 - 62)/(4/√25)) < z < (62.06 - 62)/(4/√25)

β = P(-5.08 < z < 0.08)

β = P(Z < 0.08) - P(Z < -5.08)

From z-distribution table attached, we have; P(Z < 0.08) = 0.53188

Also, from z-distribution calculator online, we have;

P(Z < -5.08) = 0.0000000189

Thus;

β = 0.53188 - 0.0000000189

β ≈ 0.53187998

WILL GIVE EXTRA POINTS
assignment name: transformations​

Answers

Answer:

K(1,0), L(2, 3), M(-1, 4), N(-2,1)

Step-by-step explanation:

Because the points are being flipped over the x-axis the y values remain the same, but the x values are multiplied by -1. Multiplying the values by -1 will switch a negative value positive and a positive value negative. This will correctly flip the points to the opposite side of the graph.

If x and y are positive integers such that the greatest common factor of x^2y^2 and xy^3 is 27, then which of the following could y equal?
A 81
B. 27
C. 18
D. 9
E 3

Answers

I believe the answer is 9

Wayne walked from the car dealership to the post office and then from the post office to the garbage dump. How far did Wayne walk in all? garbage dump car dealer .

Answers

Answer:

I want to say seven units  

Step-by-step explanation:

I believe he went 4 units up and 3 units left if he went to just the car dealership , post office and Garbage dump .

Hope I could help -

Sleepy~

the answer is 7.

explanation: count

In triangle BCD overline BC cong overline BD ,m angle B=13x-35 , m angle C=5r-19 and m angle D=2r+14 , find x and the measure of each angle.

Answers

Answer:

136

Step-by-step explanation:

Answer:

The measure of m<B, m<C and m<D are 108, 36 and 46

Step-by-step explanation:

What are triangles?

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

m<C = 5x-19

m<D = 2x + 14

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Which expression is equivalent to -6(-2/3+2x)?

Answers

Answer:

4+(-12x)

Step-by-step explanation: Hope this helped!

Other Questions
A book is at rest on a table. Identify the correct free-body diagram for this situation. Brian was thinking of a number. Brian adds 3 then divides by 2 to get an answer of 2.what was the original answer Sort the words into the correct categoriesInjuries-Medical-Numbers-Time-Transportation-Miscellaneous- You must use 2 eggs to make 6 dozen cookies. How many eggs are needed to make 42 dozencookies? Use a proportion to solve. Write the equation of a line that goes through the point (-1,3) and has a slope of 5 On a coordinate plane, point A is at (negative 1, 3), point B is at (negative 1, negative 3), point C is at (3, negative 3), and point D is at (3, 3). What is the name of the polygon? hexagon octagon quadrilateral triangle England in the SoutheastA.England began to colonize the Southeast in the .B.English settlers built a fort in this area to gain control of the .C.Fort King George became present-day . Pb+feSO4 - pbSO4 + fe Find the missing angles Consider this animal cell.The organelles in an animal cell are labeled. Part E represents small dots on the nucleolus.What is the function of the small, dark organelles labeled E?They contain enzymes for the digestion of old cell parts.They regulate what enters and leaves the cell.They produce proteins for the cell.They store water and other materials. What are carbon-12, carbon-13, and carbon-14? Question 11 what is the naswer please fast Tom was measuring a piece of wood to build a shelf for his daughter. The shelf is 36 inches long. He tells his daughter, Hadlee that the shelf is 3 ft. long. Hadlee argue with her father and says, No, the shelf is 36 inches long, not 3 ft. Who is correct? Justify your thinking. find the pay earned: 33 hours at 5:15 per hour a school committee consists of 2 teachers and 4 students. the number of different committees that can be formed from 5 teachers and 10 students is What is the slope of this function. f(x)=-3x+5 The thanksgiving turkey directions say you need to cook the turkey for 60 minutes for every 4 pounds of turkey. Your mom bought a 25 pound turkey. How many minutes should she cook it for? After reading A Smart Cookie, what is the most likely reason a reader might conclude that Esperanza will listen to her mother and study hard? Esperanza lists her mothers achievements. Esperanza listens to her mother singing opera. Esperanza admires her mothers sewing skills. Esperanza wants to know which train to take downtown. The slope of a line that passes through (-2, 5) and (1, -7) in simplest form is At a park, it costs $9.75 an hour to rent a bicycle. It costs $7.25 an hour to rent a scooter. Aaron has a couponfor $10 off the rental of a bicycle. He wants to know after how many hours it will cost more to rent the bicyclethan the scooter.Should he write an equation or an inequality to help him solve this situation?Why?Define the variable:Write the equation or inequality: