Point D is the centroid of △ABC. Use the given information to find the value of x.
BD=4x+5 and BF=9x

x=

Point D Is The Centroid Of ABC. Use The Given Information To Find The Value Of X.BD=4x+5 And BF=9xx=

Answers

Answer 1

Based on the centroid theorem, the value of x is: 2.5.

What is the Centroid Theorem?

The centroid theorem states that, the centroid of a triangle equals two-third of the distance from each midpoint of a triangle to each vertex.

Given:

BD = 4x + 5

BF = 9x

Thus:

BD = 2/3(BF)

Substitute

4x + 5 = 2/3(9x)

4x + 5 = 6x

4x - 6x = -5

-2x = -5

x = 5/2

x = 2.5

Therefore, based on the centroid theorem, the value of x is: 2.5.

Learn more about centroid theorem on:

https://brainly.com/question/20627009


Related Questions

2 1/6 divided by 3/4

Answers

Answer:

Exact form = 26/9

Decimal form = 2.8

Mixed number form = 2 8/9

Step-by-step explanation:

Hope this helps

I suck at math help ill give brainliest ​

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Answer:

3

Step-by-step explanation:

5x + 40 = 55

5x = 55 - 40

5x = 15

x = 15 / 5

x = 3

If car number plates have 3 English alphabet letters followed by 3 digits, how many of these start with ABC?​

Answers

Answer:

351520000

Step-by-step explanation:

351520000

Explanation:

There are 10 possible digits for the numbers (0,1,2,...,9), and 26 possible letters (A,B,C,.....,Z).

Since repetitions are allowed, we have that for each letter used, 26 still remain for the next choice, and for each digit used, 10 still remain for the next choice.

Hence, by the multiplication principle, the total different number of letter permutations is  

26

×

26

×

26

=

17576

and the total number of digit permutations is  

10

×

10

×

10

=

1000

But now since they can be in any order, we basically require in how many different ways can 3 be chosen from 6 which is the combination

6

C

3

=

6

!

(

6

3

)

!

3

!

=

20

So for each of the original permutations of numbers and letters, we must consider the 20 different combinations of positions they can be in.

Therefore by the multiplication principle, the total possible different number plates is

17576

×

1000

×

20

=

351520000

What is the soultion to the following system of equations
{x+4y=-22
{3x-7y=29

Answers

Answer:

y= -1/4x - 11/2

y= 3/7x - 29/7

what is 15/4 as a whole number i've never been good at this and could us help

Answers

Answer:

3

Step-by-step explanation:

15/4=3 with a remainder of 3 . You take the 3 from your answer and it becomes the whole number.

a^1/2 x a^3/2 divide (a^3)^4

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Answer:

3x

Step-by-step explanation:

Candy is sold out in 4 pound bags. How many full

Answers

Full what exactly it is not specified what you need

Select all ratios equivalent to 3:5

Answers

6:10 , 9:15, 12:20 , and 15:25
3/5 6/10 9/15 12/20
15/25 18/30 21/35 24/40
27/45 30/50 33/55 36/60
39/65 42/70 45/75 48/80
51/85 54/90 57/95 60/100
63/105 66/110 69/115 72/120
75/125 78/130 81/135 84/140
87/145 90/150 93/155 96/160
99/165 102/170 105/175 108/180
111/185 114/190 117/195 120/200
123/205 126/210 129/215 132/220
135/225 138/230 141/235 144/240
147/245 150/250 153/255 156/260 159/265 162/270 165/275 168/280
171/285 174/290 177/295 180/300
183/305 186/310 189/315 192/320
195/325 198/330 201/335 204/340
207/345 210/350 213/355 216/360
219/365 222/370 225/375 228/380
231/385 234/390 237/395 240/400
243/405 246/410 249/415 252/420
255/425 258/430 261/435 264/440
267/445 270/450 273/455 276/460 279/465 282/470 285/475 288/480
291/485 294/490 297/495 300/500


Ratios can also be written in fraction form

Find the commission,
Earning Commission
Sales Commision Rate Commission
$710
6%
?

Answers

Answer:

$42.60

Step-by-step explanation:

(6/100)×710

= $42.60

The cost of a pizza varies directly as the square of its radius. If a pizza with a 6 inch radius costs $8.00, how much should a pizza with an 11 inch radius cost? Round to the nearest hundredth.

Answers

Answer:

Step-by-step explanation:

14.7$

Complete the given ordered pairs for the equation.
y= 2x + 7
(7, )
(0, )
(-5, )

Answers

* means multiply

y = 2 * 7 + 7 = 14 + 7 = 21 -> (7,21)

y = 2 * 0 + 7 = 0 + 7 = 7 -> (0,7)

y = 2 * -5 + 7 = -10 + 7 = -3 -> (-5,-3)

3m^2 + 5n; if m = -4 and n = -13

Answers

Answer:

3m^2 + 5n = 3

Step-by-step explanation:

3(16) + 5(-13) =

48 - 45 =

3

Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?

Answers

Answer:

Gummy bears $3.20/lbs

Jelly beans $7.50/lbs

Step-by-step explanation:

For this we will substitute gummy bear price for "x" and jelly bean price for "y" which creates this system (also assuming there is no sales tax involved):

1.8x + 0.6y = 10.26

1.2x + 1.5y = 15.09

Then once solved, answers come out to be (x,y) = (16/5,15/2) which is (3.2,7.5)

Jessica has £600.
She gives 50% to her mother.
Jessica gives 10% to her brother.
She keeps the rest.
How much money does Jessica keep?

Answers

Answer:

she keeps 270

Step-by-step explanation:

have of 600 is 300 10 percent of 300 is 30

300-30 is 270

what is the perimeter, in grid units, of a regular octagon that has one side with endpoints (-4, -3) and (-4, 8)

Answers

Answer:

88

Step-by-step explanation:

Let's find the length of one side. The perimeter will be 8 times that since it's a regular octagon.

[tex]d= \sqrt{(-4+(-4))^2+(8-(-3))^2} = \sqrt{0^2+(11)^2}= 11[/tex]

Perimeter has to be [tex]8\times 11 = 88[/tex]

Can someone help?? Sooo hard

Answers

Answer:

Step-by-step explanation:

Easy pie bro

Name: Kakashi Sensei

loraine walked 4 miles up, riana walked 3 miles right, the distance between them wil be the hypotenusa which is probably 5, yes? It forms a right triangle:

dist² = 3² + 4²

dist² = 9 + 16

dist² = 25

dist = [tex]\sqrt{25}[/tex]

dist = 5

now draw that triangle on the grid and there you go

Find the slope of the line that passes through (1, 13) and (10, 6).

Answers

Answer:

-7/9

Step-by-step explanation:

Using the slope formula

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

   = ( 6-13)/(10-1)

    = -7/9

Find a trinomial for the area of the rectangular rug shown on the right whose sides are x+2 feet and 3x-1 feet.

Answers

The trinomial for the rectangular rug is 3x² + 5x - 2

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

A trinomial is a polynomial with three terms.

The area of a rectangle = length * width

Area of rectangle = (x + 2) * (3x - 1) = 3x² + 6x - x - 2

Area of rectangle = 3x² + 5x - 2

The trinomial for the rectangular rug is 3x² + 5x - 2

Find out more at: https://brainly.com/question/18563587

y+4=-7(x-3)
can someone pls explain I'm so confused? In needs to be in slope int form

Answers

Answer:

so slop int form is y=mx+b

so start off by distributing the -7 to the x and -3

so that leave you with y+4=-7x+21

get it all on the same side

y-7x-17

Step-by-step explanation:

Answer:

y =  m x  +  b .

y  =  − 7 x  +  17

Step-by-step explanation:

Hope this helps!!! :))

If the start Time is 8:00 and the end time is 11:00.a.m,what is the elaped time? ?​

Answers

Answer:

3 hours

Step-by-step explanation:

5% of ______ is 10
_____ % of 100 is 12

Answers

Step-by-step explanation:

let the number represent X

5/100xx=10

5x/100=10

then you cross multiply

5x=100x10

5x=1000

divide both sides by 5

X=1000/5 =200

what is 84 divided by -12

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step expla

-7 times -12 is 84

25 points and brainliest for correct answer pls

Answers

A = lw

A = 9

9 = lw

9 = (x + 2)(x + 3)

9 = x² + 3x + 2x + 6

9 = x² + 5x + 6

x² + 5x = 3

Answer:

A = lw

A = 9

9 = lw

9 = (x + 2)(x + 3)

9 = x² + 3x + 2x + 6

9 = x² + 5x + 6

x² + 5x = 3

Step-by-step explanation:

Show all work

which of the following lines is parallel to 2y=3x-1?

a. y = 1/2x - 1
b. 2y = x - 3
c. 4y = 6x + 8
d. y = 3x + 4
e. 3y = 2x - 3

Answers

Answer:

c. 4y=6x+8

Step-by-step explanation:

For lines to be parallel, they must have the same slope. To solve this problem, we need to isolate the y on one side of the equation (putting the equation into slope intercept form).

The equation itself must be divided by 2 to do that. We end up with y=1.5x-0.5. We need to find another equation that has 1.5 as the slope.

b. y=0.5x-1.5

c. y=1.5x+2

d. y=3x+4

e. y=2/3x-1

As we can see, the only other equation with a slope of 1.5 is C. Therefore, C is our answer.

1. It takes you 2 hours to travel 110 miles. How far can you travel in 5 hours?

Answers

Answer:

275 miles

Step-by-step explanation:

110/2 = 55 miles

you travel 55 miles an hour

multiply that by 5 to get your answer

equals 275 miles

Hope this is helpful.

Answer:

275 miles in 5 hours

Step-by-step explanation:

110/2 is 55. 55 is 1hour so multiply 55 times 5 and thats your answer.

Use the graph to answer the following…

Answers

Answer:

slope = 2 because it goes up by 2 and across 1

10 = 2(1)+b

10=2+b

-2   -2

b = 8

y intercept = 8

equation: y = 2x+8

yes it is proportional because it has a constant rate of change or slope

How do you solve the equation 4a+b=12

Answers

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*a+b-(12)=0

Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 4a+b-12 = 0 and calculate its properties

Notice that when a = 0 the value of b is 12/1 so this line "cuts" the b axis at b=12.00000

b-intercept = 12/1 = 12.00000

When b = 0 the value of a is 3/1 Our line therefore "cuts" the a axis at a= 3.00000

a-intercept = 12/4 = 3

Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 12.000 and for a=2.000, the value of b is 4.000. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 4.000 - 12.000 = -8.000 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -8.000/2.000 = -4.000

Geometric figure: Straight Line

Slope = -8.000/2.000 = -4.000 a-intercept = 12/4 = 3 b-intercept = 12/1 = 12.00000

Answer:

Step-by-step explanation:

Without having a numerical value for a (or b), you can't "solve this equation."

You can, however, solve it for either a or b, but not both.

For a:  Subtract b from both sides.  This results in 4a = 12 - b.  Dividing both sides by 4 isolates a:  

        12 - b

a = --------------

            4

For b:  Subtract 4a from both sides.  Then:   b = 12 - 4a

     

-
How many solutions does the equation 2 + 6(x - 4) = 3x - 18 + 3x have?

A)0
B)1
C)2
D) Infinite

Answers

Answer:

C because it's a quadratic equation and it can be solved by factorization and completing the square method and also general formula

Last year, the school's electric bill
was $1.740. If the bill was the same
price each month, how much did
the school spend on electricity each
month? ASAP!

Answers

Answer:

AINT NOBODY CARES ABOUT SCHOOL

but the amount they spent each month was 145$

What is the answer to 30a + 15b + 14b =

Answers

Answer:

30a + 29b

....................

Answer:

30a + 29b is the answer

We just need to add

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