Solve for x and find AB
Solve for y and find BX

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:

true

Step-by-step explanation:

the second 7 is in the tenth place and the first 7 is in the hundredth place, which is 1/10 the tenth place

I agree...................

Answer:

4 + 6m = 70

Step-by-step explanation:

4 is the basket

6m is the total weight of mandarins

70 is total weight

Answer
A is the answer

Answer:

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

Step-by-step explanation:

Given points are:

(-5,3) and (3,7)

The perpendicular bisector of line segment formed by given points will pass through the mid-point of the line segment.

First of all we have to find the slope and mid-point of given line

Here

(x1,y1) = (-5,3)

(x2,y2) = (3,7)

The slope will be:

[tex]m = \frac{y_2-y_1}{x_2-x_1}\\m = \frac{7-3}{3+5}\\m = \frac{4}{8}\\m = \frac{1}{2}[/tex]

The mid-point will be:

[tex](x,y) = (\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2})\\ = (\frac{-5+3}{2},\frac{3+7}{2})\\= (\frac{-2}{2},\frac{10}{2})\\=(-1,5)[/tex]

Let m1 be the slope of the perpendicular bisector

Then using, "Product of slopes of perpendicular lines is -1"

[tex]m.m_1 = -1\\\frac{1}{2}.m_1 = -1\\m_1 = -1*2\\m_1 = -2[/tex]

We have to find the equation of a line with slope -2 and passing through (-1,5)

The slope-intercept form is given by:

[tex]y = mx+b\\y = -2x+b[/tex]

Putting the point (-1,5) in the equation

[tex]5 = -2(-1)+b\\5 = 2+b\\b = 5-2\\b = 3[/tex]

The final equation is:

[tex]y = -2x+3[/tex]

Hence,

The equation of perpendicular bisector of the line segment passing through  (-5,3) and (3,7) is: [tex]y = -2x+3[/tex]

If kiersten is 6ft tall. She is standing in front of a tree and notices her shadow and her shadow is 9 feet away from her. The height of the tree is 56 feet.

Given data:

kiersten height = 6ft tall

Shadow = 9 feet away

Shadow of tree = 84 feet

The equation that will be use to find the height is 6/9= x/84

Let x represent the tree's height

So, let solve for x

6/9= x/84

Cross multiply:

9x = 6(84)

9x = 504

Divide both side by 9x

x= 504/9

x = 56 feet

Therefore we can conclude that the height of the tree is 56 feet.

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Answer:

2.5 Teaspoons of vanilla are needed.

Step-by-step explanation:

If 3 cups of flour is 1.5 teaspoons of vanilla. 1.5 /3=.5 Meaning there is .5 teaspoons of vanilla per cup of flour.

If you have 5 cups of flour   5 x .5= 2.5 (teaspoons)

nico shot 42 basket in 6 minutes

per minute =42÷6

7

nico shot 7 basket per minute

.

Answer:

2

Step-by-step explanation:

Molly 60.4=240 20:4=5

Nico 60.6=360 42:6=7

7-5=2

Answer:

10 cm

Step-by-step explanation:

Diameter= 2X radius

20/ 2 = radius

20/2 = 10 cm

Answer:

i think its 13/45

Step-by-step explanation:

Given:

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ=3a+4[/tex]

[tex]XY=5a-12[/tex]

To find:

The value of a and PQ.

Solution:

We have,

[tex]\Delta PQR\cong \Delta XYZ[/tex]

[tex]PQ\cong XY[/tex]                            (CPCTC)

So,

[tex]PQ=XY[/tex]

[tex]3a+4=5a-12[/tex]

Isolating variable terms, we get

[tex]3a-5a=-4-12[/tex]

[tex]-2a=-16[/tex]

Divide both sides by -2.

[tex]a=\dfrac{-16}{-2}[/tex]

[tex]a=8[/tex]

Now,

[tex]PQ=3a+4[/tex]

[tex]PQ=3(8)+4[/tex]

[tex]PQ=24+4[/tex]

[tex]PQ=28[/tex]

Therefore, the value of a is 8 and the value of PQ is 28.

What u need help with?

Answer: where do you need assistance

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hello! The answer is linear and increasing !

Step-by-step explanation:

As you see on the graph it’s increasing ! And it’s linear !

Answer:

30% increase

Step-by-step explanation:

First, find the difference between the prices:

156,000 - 120,000

= 36,000

Then, find what percent this is of the original price:

36,000/120,000

= 0.3

So, the percent increase is 30%

Answer:

4

Step-by-step explanation:

4 is the answer

Answer:

4

Step-by-step explanation:

2/9=x/18

9x=36

x=4

Answer:

I would think that 2x+3y+4 would be the answer.

Step-by-step explanation:

Answer:

y = [tex]-\frac{1}{6}[/tex] x - 2

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocals.

If AB ⊥ CD , then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1

y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])

~~~~~~~~~~~

6x - y = 7 ⇔ y = 6x - 7

Slope of given line is 6

Slope of a perpendicular line is [tex]-\frac{1}{6}[/tex]

( - 6, - 1 )

y + 1 = [tex]-\frac{1}{6}[/tex] (x + 6)

y = [tex]-\frac{1}{6}[/tex] x - 2

Answer:

11 ft 3 in

Step-by-step explanation:

The bed of a pickup truck measures 4 feet by 8 feet. To the nearest inch, what is the length of the longest thin metal bar that will lie flat in the bed? 11 ft 3 in.

Answer:

Step-by-step explanation:

the diagonal is the longest so use Pythagoras

c^2 =a^2 + b^2

c^2=4^2+8^2

c^2=16+64

c =[tex]\sqrt{80}[/tex]

c = 8.944 ft

Answer:

E is the correct choice

Step-by-step explanation:

i hope this helps

Answer:

9?

Step-by-step explanation:

9 + 7 is `16, and 16 is a multiple of 4

Answer:

False.

Step-by-step explanation:

A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

Answer:

A

Step-by-step explanation:

11 3/4 - 8 1/2 = 3 1/4

Answer:

30,000​

Step-by-step explanation:

3,000 times 10 is 30,000, therefore 30,000/10=3,000

Answer:

Step-by-step explanation:

3000 of 1/10

3000*0.1=300

Answer:

C or B

Step-by-step explanation:

Answer: i believe it would be B

Step-by-step explanation: Basically the graph points keep moving up.

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

The measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.

"It states that the sum of any two sides must be greater than the third side."

For given question,

we have been given the measures 3.1, 4.8, and 10.2  

We need to check whether given measures can be the side lengths of a triangle.

First we check whether the given measures obey triangle inequality or not.

3.1 + 4.8 = 7.9

7.9 < 10.2

This means, the measures 3.1, 4.8, and 10.2 do not obey triangle inequality

Therefore,  the measures 3.1, 4.8, and 10.2 cannot be the side lengths of a triangle.

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