im stuck on this question i need help

A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.

A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.

Given that,

There is a triangle ΔDEF.

The centroid of the given triangle is G.

The medians of the triangle are DC, EB and FA.

CG = (x + 5)

DG = (3x - 2)

Here, CG and DG are parts of the median DC.

Since, centroid of a triangle divides its each medians into the ratio of 2 : 1

in the direction from the vertex to the midpoint of the opposite side.

The following expression can be written for the given problem,

DG/CG = 1/2

=> (3x - 2)/ (x + 5) = 1/2

=> 2(3x - 2) = x + 5

=> 6x - x = 5 + 4

=> x = 9/5

=> x = 1.8

Thus, DG = (3x - 2)

                = 3 × 1.8 - 2

                = 2.4

Hence, the length of DG is given as 2.4 unit.

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Answer:

34 units

Step-by-step explanation:

The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.

Answer:

Approximately 45%.

Step-by-step explanation:

We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.

So, as a fraction of the total won over the total games, we can write:

[tex]\displaystyle\frac{15}{33}[/tex]

So, by dividing, the percent the team won is:

[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]

The team won approximately 45% of its games.

Answer:

Step-by-step explanation:

1,2,4

Answer:

3 cm and 1.75 cm

Step-by-step explanation:

the numbers have to coincide with the ones being compared in the same amount. like 3×2=6 and its the same with 1.75×2=3.50

Answer:

225 I just checked tell me if you're right

Answer:

15*15 = 225

15*15 is the same as [tex]15^{2}[/tex]

if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.

no matter how ya do it, 15 *15 is 225

Step-by-step explanation:

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

he can use the information to put stuff on sale so more people will come and he can make more money

Step-by-step explanation:

Step-by-step explanation:

Answer: 19, because all you´re doing for mark is dividing his actual height from the profile picture.

Marks sister: 66.5, because you will take her height (3.5) and you will put x over 3.5 in fraction form. Then you will take marks profile picture height, and put it in fraction form (76 over 4) then you will cross multiply 3.5 and 76 which will give you 266. Then you´ll divide 266 by 4 which would give you 66.5

Answer:

Step-by-step explanation:

the sum of supplementary angles equal to 180

let x=angle

180-x= the other angle

180-x=x-100

2x=280

x=140

the other angle is 40

Answer:

x^2+8x+15 this is it simplified

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

Answer:

the answer is 1/3

Step-by-step explanation:

Answer:

14

reeaADADSDDSSA

Step-by-step explanation:

[answer 1 11/12 or 2.917]

1. 9 5/6 + 1 1/4 =  11 1/12

2. 14 - 11 1/12 = 35/12 then you smiplfy to get  1 11/12 or 2.917

Answer:

[tex]A=0.0192[/tex]

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]

[tex]A=R*H[/tex]

Therefore

[tex]A=\frac{0.12}{2} *0.32[/tex]

[tex]A=0.06 *0.32[/tex]

[tex]A=0.0192[/tex]

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

Answer:

Acceleration equals zero because of constant velocity

[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

Answer:

i think its 13/45

Step-by-step explanation:

Answer:

A real solution in algebra is simply a solution to an equation that is a real number.

for example

If y>0, then x2 = y has two real solution or roots. x = ±√y

If y=0, then x2 = y has one real solution.

Answer:

Step-by-step explanation:

SEARCH IT UP!!!!!!!

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

Answer:

f=gx−3/x−5

Step-by-step explanation:

Step 1: Flip the equation.

fx−5f+3=gx

Step 2: Add -3 to both sides.

fx−5f+3+−3=gx+−3

fx−5f=gx−3

Step 3: Factor out variable f.

f(x−5)=gx−3

Step 4: Divide both sides by x-5.

f(x−5)/x−5=gx−3/x−5

Answer:

$1711.5

Step-by-step explanation:

Step one

given data

Principal = $1500

interest rate= 4.5% = 0.045

time = 3 years

Step two:

The compound interest expression is

[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

Answer:

m<1 = 79°

Step-by-step explanation:

12x + 19 + 22x - 9 = 180

add the numbers

34x + 10 =180

minus 10

34x = 170

divide by 34

x = 5

plug 5 into the equation of angle 1

12(5) + 19 =

79

Answer:

192cm²

Step-by-step explanation:

The diagonal of the rectangle is expressed using the formula:

d = √l²+w²

l is the length

w is the width

Given d = 20

20 = √l²+w²

400 = l²+w² .... 1

Since the difference between the length and the width is 4cm, then;

l - w = 4 ... 2

l = 4 + w

Substitute equation 2 into 1;

400 = (4+w)²+w²

400 = 16 +8w + w² +w²

400 = 16 + 8w + 2w²

2w²+8w - 384 = 0

w²+4w - 192 = 0

w = -4±√4²-4(-192)/2

w = -4±√16+768/2

w = -4±28/2

w = -4+28/2

w = 24/2

w = 12

Since l = w+4

l = 12+4

l = 16

Area of the rectangle = 16 * 12

Area of the rectangle = 192cm²

Answer:

rytytyf

Step-by-step explanation:

yiyiuyiuy

Answer:

I'm not honestly for sure but i'm guessing the side G, J because it is the longest!

Hope this helps,

0Drink0Milk0

it is Gj your welcome it has to be

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]