The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).


What are the coordinates of the centroid of triangle ABC?

Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!

Answers

Answer 1

Answer:

(7 , 5)

Step-by-step explanation:

Add all the x-axis then divide by 3

7 + 3 + 11 = 21

21/3 = 7

Add all the y-axis then divide by 3

9 + 3 + 3 = 15

15/3 = 5

So answer will be (7,5)

Answer 2

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum o

The coordinates of the centroid is (7, 5).

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The vertices of the triangle in the diagram below are:

A(7,9), B(3,3), and C(11,3).

Now,

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum of the y-coordinates of the vertices ÷ 3

Now,

x = 7 + 3 + 11 / 3 = 21/3 = 7

y = 9 + 3 + 3 / 3 = 15/3 = 5

Now,

The coordinates of the centroid is (7, 5).

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Related Questions

If 4x+5=13x+4-x-9 then x= ?

Answers

4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

Answer:

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

4x + 5 = 13x + 4 - x - 9

Step 2: Solve for x

Combine like terms:                    4x + 5 = 12x - 5Subtract 4x on both sides:          5 = 8x - 5Isolate x term:                              10 = 8xIsolate x:                                       5/4 = xRewrite:                                        x = 5/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply:                               5 + 5 = 65/4 + 4 - 5/4 - 9Add:                                     10 = 81/4 - 5/4 - 9Subtract:                              10 = 19 - 9Subtract:                              10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation.

triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?

Answers

Answer:

idek

Step-by-step explanation:

i do not know i’m sorry.

HELLLLLLP’!!!!
Suppose f(x)=2x-3 describe how the graph of g compares with the graph of f G(x)=f(x)+11

Answers

Answer:

Step-by-step explanation:

g(x) = 2x - 3 + 11

= 2x + 8.

The graph of g is parallel to the graph of f but f is translated upwards by 8 units.

Find the percent change from 75 to 24.

Answers

212.5%

The percentage increase from 24 to 75 is 212.5%.

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.

Answers

Answer:

A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

Step-by-step explanation:

Required

Determine which system of equation satisfy (-4,2)

To do this, we simply substitute -4 for x and 2 for y in the given functions.

A.

[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

[tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

[tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

[tex]-24 + 22 = -2[/tex]

[tex]-2 = -2[/tex]

The above shows that the given linear combination has a solution of (-4,2).

Hence, this option answers the question and there is no need to check other options

Answer: the answer is A

Step-by-step explanation:

thank you for your help :) really appreciate! Here’s the new one

Answers

Answer:

8 units

Step-by-step explanation:

The two squares have equal areas.

For each square:

area = 32 units^2

For a square:

area = side^2

side^2 = 32

side = sqrt(32)

For the two squares, the length of the side is sqrt(32).

The sides of the squares are the legs of the right triangle.

a^2 + b^2 = c^2

(sqrt(32))^2 + (sqrt(32))^2 = x^2

32 + 32 = x^2

x^2 = 64

x = 8

Answer: 8 units

Answer

8 units

Explanation

The side of one of the squares is the same length as one of the legs on the triangle.

To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.

So the length of one side is the square root of 32.

Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.

The length of one side of the square is the leg of a right triangle.

To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.

[tex]l^{2} + l^{2} = h^{2}[/tex]

The square root of 32 squared is 32.

[tex]32+32=h^{2}[/tex]

[tex]64=h^{2}[/tex]

To find h, you need to find the square root. The square root of 64 is 8.

Therefore, the length of x is 8 units.

6x + 3y = 33
4x + y = 15

Answers

Here is the resolution

What is the perimeter of the parallelogram?

29 cm
80 cm
58 cm
32 cm 2

Answers

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

Select the correct answer.
What is the simplest form of the ratio 40:16?
ОА.
20:8
OB.
10:4
OC.
5:4
OD
5:2
OE.
10:8

Answers

Answer:

D: 5:2

Step-by-step explanation:

40:16 simplified is 5:2

The simplest form of the ratio 40:16 is 5:2.

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

To find the simplest form of the ratio 40:16, we can divide both terms by their greatest common factor (GCF).

First, let's find the GCF of 40 and 16.

The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.

The factors of 16 are 1, 2, 4, 8, and 16.

The largest number that appears in both lists is 8.

Therefore, the GCF of 40 and 16 is 8.

To simplify the ratio, we divide both terms by 8:

40 ÷ 8 = 5

16 ÷ 8 = 2

Thus,

The simplest form of the ratio 40:16 is 5:2.

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help lol! the explanation is on the bottom!!

Answers

Answer:

1 =80

2 =100

3 =80

4 =100

6 = 100

7 =80

8 =100

Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7

2,4,6,and 8 are 180-80 which equals 100

Answer:

1, 3, 5, 7 = 80°

2, 4, 6, 8 = 100°

Step-by-step explanation:

1, 3, 5, and 7 are congruent to each other

2, 4, 6 and 8 are congruent to each other

1 + 2 + 3 + 4 = 360°

80° + x + 80° + x = 360°

160° + 2x = 360°

2x = 360° - 160°

2x/2 = 200°

x = 100°

b
-
27 =43

I would really appreciate your help

Answers

Answer:

B = 70

Step-by-step explanation:

Answer:70

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

7÷7/11=
Please explain for me

Answers

Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11

Help, please. My assignment is past due so pls hurry.

Answers

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)

Answers

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

Helppppppppp!!

A bird goes from a lower location to a higher location at a
rate of 2 meters per second. Which equation models the change in the bird's position at 90 seconds?

A. 90.2 = 180
B. 90(-2) = -180
C. (-90)(-2) = -180
D. 90(-2) = 180

Answers

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It is proven mathematically

14 POINTS PLEASE HELP !!

The model represents a polynomial of the form ax^2 + box + c
which equation is represented in the model?
- 3x^2 - 4x - 1 = (3x + 1) (x -1)
- 3x^2 - 2x - 1 = (3x - 1 ) ( x - 1 )
- 3x^2 - 4x + 1 = (3x - 1 ) (x - 1 )
- 3x^2 - 2x + 1 = (3x - 1 ) (x - 1 )

Answers

Answer: C

Step-by-step explanation:

i just know

Someone please help me make an equation for the first question! :)

Answers

12y + 1x
part b:
22y + 6x

confused :( please help!!!!

angles are confusing aaaaaa

Answers

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz

Answers

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

What is this??????????

Answers

Answer:

A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question

Please I beg you help me I will mark you brainliest

Answers

Answer:

Best answer would be D

Step-by-step explanation:

For A, the statement is only true with x as 1

For B, other values for x can make the equation wrong

And for C, it's just wrong.

Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?

Answers

The values for x are:

question 15 ⇒x=8

question 16⇒x=19

question 17⇒x=14

Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.

Sum of Interior Angles of Regular Polygon

There is a formula that relates number of sides polygon with its sum of interior angles. See below.

                                 S=(n-2)*180°

S=sum of interior angles of regular polygon.

n=number of sides of regular polygon.

Exercise 15

First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,

                                 S=(n-2)*180°

                                 S=(4-2)*180°

                                 S=2*180°=360°

Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.

Next step, sum of interior angles for finding x

                                  [tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]

                                      x=8

Exercise 16

First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,

                                 S=(n-2)*180°

                                 S=(6-2)*180°

                                 S=4*180°=720°

Next step, sum of interior angles for finding x.

                   [tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]

                   x=19

Exercise 17

First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,

                                 S=(n-2)*180°

                                 S=(5-2)*180°

                                 S=3*180°=540°

The image of the question shows the sides are congruent, consequently, the angles are equal.

Next step, sum of interior angles for finding x.

                    [tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]

                     x=14

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matching math game help!​

Answers

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

Help appreciated, thanks so much!

Answers

Answer:

r= -6

Step-by-step explanation:

Which of the following expressions is equivalent to the expression given below.

12 (-31 + 26) + 45
—————————
4

3.5

-3.75

4.2

-4.5

Answers

Answer:

wuhh

Step-by-step explanation:

The Answer: -15
I hope this helps you out

Help????? Pls?????????

Answers

18 men in the dance recital

Answer:

20 men in the dance recital.

Step-by-step explanation:

tt

Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28

Answers

Answer:

b. 14

Step-by-step explanation:

I need help please!!!!

Answers

The first two is wrong, the last two is one of the right ones, I think it’s c

Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answers

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

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