In BCD, H is the centroid. If DE=51 find HE.

In BCD, H Is The Centroid. If DE=51 Find HE.

Answers

Answer 1

Answer:

[tex]HE=17[/tex] units.

Step-by-step explanation:

In a triangle, centroid is the intersecting point of the medians.

Centroid divides each of the medians in ratio [tex]2:1[/tex]

So,

[tex]\frac{DH}{HE}=\frac{2}{1} \\\\\frac{DH}{HE}+1=\frac{2}{1}+1\\\\ \frac{DH+HE}{HE} =3\\\\\frac{DE}{HE}=3[/tex]

Put [tex]DE=51[/tex] units

[tex]\frac{51}{HE}=3\\\\HE=\frac{51}{3}[/tex]

[tex]HE=17[/tex] units.


Related Questions

URGENT pls help will mark brainliest, 40 points

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Answer:

14answer 3

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I’m stuck with this question plz help

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Answer:

40 in i think if i am wrong sorry

Step-by-step explanation:

5in + 5in = 10 10 * 4 = 40

246.49

All you have to do to find the Circumference is use this formula

pi (3.14) R (radius) squared.

-Ɽ3₮Ɽ0 Ⱬ3Ɽ0

what is the amount of 839k in thousands​

Answers

839000 is equal to 839000000/1000

The volume of a cube is 8 in^3 What is the length of one side?
2.7in3
2 in3
2.7 in
2 in

Answers

Answer:

2 in

Step-by-step explanation:

Use the cube volume formula, V = s³, where s is the side length

Plug in 8 as V and solve for s:

V = s³

8 = s³

Take the cube root of both sides:

2 = s

So, the length of one side is 2 inches.

The length of one side of cube will be 2 in i.e. option D.

What is volume ?

Volume is the amount of space that something contains or fills.

Volume of the cube = side³ = a³

We have,

Volume of the cube = 8 in³

And,

Side of cube = a

So,

Volume of the cube = side³ = a³

i.e.

8 = a³

⇒ a³ = 8

a = ∛8

On solving we get,

a = 2

i.e.

Side of cube = 2 in

Hence, we can say that the length of one side of cube will be 2 in i.e. option D.

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consider the system composed of the functions f(x), which is graphed below, and g(x)=cube root of x-2. what is the solution of this system? answer is an ordered pair

Answers

Hdkdhzgzhsveyebbrdbejke

When a moving object collides with an object that isn’t moving, what happens to the kinetic energy of each object?

Answers

the kinetic energy transfers from the moving ball to the non-moving ball.

If a varies directly with b, write the constant of proportionality equation.
b = 2 and a = 10
options:
1. a=5b
2. k=5
3. a= 1/5b
4. b=5a

Answers

1. 10=5(2)
2.k=5
3. 10=1/5(2)
4.2=5(10)

HELPP!!
due tomorrow!!!

Answers

Answer:

[tex]\frac{5}{24}(11x+28)[/tex]

How can I help you?
2
1
8
x
+
3
4
x
+
1
6
Answer



5
(
11
x
+
28
)
24

A 4-foot-long sandwich is cut into servings that are each foot long. How many
servings will there be after the sandwich is cut?
3
12

Answers

Answer: 4

Step-by-step explanation:

If the foot-long sandwhich is 4 feet long, and is cut into parts that are each 1 foot long, then we need to divide 4 by 1.

4 ÷ 1 = 4, so there will be 4 servings after the sandwich is cut.

A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?

Answers

Answer:

132 miles

Step-by-step explanation:

Given data

scale 1cm:40mi.

this means that

1 cm on the map is equal to 40 miles on

Hence if 1cm rep 40 miles

              3.3cm will rep x

cross multiply

x= 3.3*40

x=132 miles

can someone solve this?

Answers

47z²−25

Step-by-step explanation:

3627272727822881818181

Answer:

130z-3

Step-by-step explanation:

Break down the equation:

(9[tex]z^{2}[/tex]-4)=

9z * 9z= 81z

You can't subtract 4, so I left it at (81z- 4)

(7[tex]z^{2}[/tex]+ 1)=

7z * 7z= 49z

You can't add 1, so I left it at (49z+ 1)

Then Solve:

You can add 81z and 49z.

81z+49z= 130z

-4+1= -3

Hope this helps!

what equation contains the given point ( -3,5)

Answers

Answer:

y = x + 8

Step-by-step explanation:

Answer:

To determine if a point is on a line you can simply subsitute the x and y coordinates into the equation. Another way to solve the problem would be to graph the line and see if it falls on the line. Plugging in will give which is a true statement, so it is on the line.

Step-by-step explanation:

Off the inter net... sorry

GUYS AM I CORRECT?? I WILL MARK U BRAINLEST IF I GET IT RIGHT

Answers

Answer:

Yes you are correct.

Answer:

None of the above

Step-by-step explanation:

Your answer is correct. :)

[tex]9x^2-4[/tex]
please simplify!

Answers

Answer:

(3x+2)(3x−2)

Step-by-step explanation:

is saving money to buy a game. So far he has saved $36, which is three-fourths of the total cost of the game. How much does the game cost?

PLS HELP ME IM GIVING 10 POINTS FOR THIS!

Answers

if $36 is 3/4 of the total cost, then you can divide 36 by 3 to get the answer for what 1/4 of the cost is. 36 divided by 3 is 12. 12 times 4 is 48. the cost is $48.

A solution to a system of equations will always be in what form?"​

Answers

Answer/Step-by-step explanation

set of values that satisfy all equations in the system, and there can be many such answers for any given system. Answers are generally written in the form of an ordered pair: (x,y).

A plumber chargers a fee of $75 plus $30 per hour on the job. Make a table of values for the total charge depending on the number of hours the plumber works. Determine if this can be defined by a linear or an exponential function. What is the function?
a. Linear: T=30+75h
b. Exponential: T=75(30)^h
c. Exponential: T=30(75)^h
d. Linear: T=75+30h

Answers

Answer:

d

Step-by-step explanation:

It is going at a steady rate of 30$ an hour

Total charges of the plumber depending on the number of hours he works is defined by the linear function T = 75 + 30h.

What is linear functions?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable.

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Answers

Ghhikdjdjndkkdkdmddjs hdduuusuid dhshsjjss d

Answer:

5 minutes

Step-by-step explanation:

150-50=100

100/20=5

The picture shows a blue rectangle split into 6
equal parts and an orange rectangle split into 6
equal parts.

Drag figures to each box so that their total area is equal to the number given.

Answers

Answer:

what is the answer?

Step-by-step explanation:

Answer:

Answers are in the pictures.

Step-by-step explanation:

if you spin the spinner 40 times, how many 4'

Answers

Answer:

10

Step-by-step explanation:

Answer:

Your prediction would be eight 4's

Step-by-step explanation: I just solved it!

Can someone PLEASE help with this one question!?

Answers

Answer:

x^2= 25

x = 5

pls mark as brainliest

x= + or - 5
Hope that helped

9. A triangle has an area of 36 yd2 and a base of 3 yd, what is the height of the triangle?

Answers

Answer:

24yards

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 24 \ yards}}[/tex]

Step-by-step explanation:

The formula for a triangle's area is:

[tex]a= \frac{1}{2} bh[/tex]

We know the area is 36 square yards and the base is 3 yards.

[tex]a= 36 \ yd^2 \\b= 3 \ yd[/tex]

Substitute the values into the formula.

[tex]36 \ yd^2 = \frac{1}{2} (3 \ yd )h[/tex]

Divide by 1/2 or multiply both sides by 2.

[tex]2 * 36 \ yd^2 = \frac{1}{2} (3 \ yd )h *2[/tex]

[tex]72 \ yd^2= (3 \ yd)h[/tex]

We are trying to solve for the height, so we must isolate that variable. h is being multiplied by 3. The inverse of multiplication is division, so we must divide both sides by 3 yd.

[tex]\frac {72 \ yd^2}{3 \ yd}= \frac{(3 yd) h}{3 \ yd}[/tex]

[tex]24 \ yd =h[/tex]

The height of the triangle is 24 yards.

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer:

25

Step-by-step explanation:

if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

A perfect square is 25.

What is a perfect square?

In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3

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if the expression is  x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).

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canz someone help me this is very confusing

Answers

Answer:

$48

75 minutes

Step-by-step explanation:

36/75=0.48 so %1 of her money is 0.48 but if you multiply that by 100 then you get $48, im pretty sure there's an easier way to do that but thats how i got it

18/24=0.75

0.75x100=75

A city has 17391 registered Democrats and 20553 registered
Republicans. An organization wishes to survey equal proportions of
each group.

The council decides to survey 13 Republicans
How many Democrats should they survey? Democrats

Answers

Answer: The council should survey 11 Democrats.

Step-by-step explanation:

A proportional relationship is written as:

y = k*x

Where k is the constant of proportionality. y is the number of surveyed members, and x is the total number of registered members.

If we use the same proportion for each case, then we will use the same value of k.

We know that there are 20553 registered Republicans, and the council decides to survey 13 of them, then we will have the relation:

13 = k*20553

Now we can solve this for k:

13/20553 = k

Then the proportional relationship will be:

y = (13/20553)*x

The number of democrats they should survey can be found if we replace x by the number of registered Democrats, then we use x = 17391

this leads to:

y = (13/20553)*17391 = 11

The company should survey 11 Democrats.

In the morning, Christopher puts out
7
3
5
pounds of food for the piglets on his farm.
In the evening, he puts out another
6
4
5
pounds. How much food does Christopher put out in all?

A.
13
pounds

B.
13
2
5
pounds

C.
14
2
5
pounds

D.
14
4
5
pounds

Answers

Answer:

Step-by-step explanation:

The question didn’t display properly. I’m guessing he puts out 7⅗ pounds in the morning and 6⅘ pounds in the evening.

7⅗ + 6⅘ = 38/5 + 34/5 = 72/5 = 14⅖ pounds


A number cube with faces numbered 1 through 6 is rolled 15 times. In theory, how many times would you expect to roll a number less than five?
A: 2.5
B: 5
C: 10
D: 12.5

Answers

Answer:

dude im retaking the test and we have the same teacher,lol

Step-by-step explanation:

Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 5 parts white. How many gallons of red paint should they mix with 1 gallon of white paint? Express your answer as a common fraction

Answers

Answer:

0.8 gallons of red paint or 4/5 gallons of red paint

Step-by-step explanation:

Jan and Jerome are mixing red paint with white paint to make pink paint, in the ratio of 4 parts red to 5 parts white. How many gallons of red paint should they mix with 1 gallon of white paint? Express your answer as a common fraction

How many gallons of red paint should they mix with 1 gallon of white paint?

Let parts be represented as x

Hence:

Red : white

4 : 5

4/5 = x/ 1

We cross Multiply

5x = 4

x = 4/5

x = 0.8 gallons of red paint or 4/5 gallons of red paint

Answer:

4/5

Step-by-step explanation:

I got it correct for mathcounts

The cost, C. of producing coolers, x, is modeled by the equation C = 0.005x2 - 0.3x + 17. How many coolers are

produced when the cost is $19. Round your answers to the nearest whole number

All work must be clearly shown, step by step, to receive full credit. Separate your work. Each new statement or

equation, must be on a new line.

Answers

Answer:

66 coolers

Step-by-step explanation:

C = 0.005x² - 0.3x + 17

When C = $19

19 = 0.005x² - 0.3x + 17

19 - 17 = 0.005x² - 0.3x

2 = 0.005x² - 0.3x

0.005x² - 0.3x - 2 = 0

x = -b ± √b² - 4ac / 2a

= -(-0.3) ± √-0.3² - 4*0.005*-2 / 2*0.005

= 0.3 ± √ 0.09 - (-0.04) / 0.01

= 0.3 ± √ 0.09 + 0.04 / 0.01

= 0.3 ± √ 0.13 / 0.01

= 0.3/0.01 ± √0.13/0.01

= 30 ± 0.36/0.01

x = 30 ± 36

x = 30 + 36 or 30 - 36

x = 66 or -6

Number of coolers can not be negative

Therefore, number of coolers produced when the cost is $19

is 66 coolers

in order to increase the circumference of a circle from 12 pi cm to 18 pi cm by how much must the diameter increase?

Answers

Circumference = diameter x PI

To increase from 12 to 18 subtract:

18-12 = 6

The diaeter needs to increase by 6 cm

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