Consider the figure below.

Line segment AD, Line segment BE, and line segment CF are medians concurrent at G.
Which of the following statements is true?

A FG=1/2 GC
B ED=2/3 AB
C BG=1/2 BE
D GD=2/3 AD

Consider The Figure Below.Line Segment AD, Line Segment BE, And Line Segment CF Are Medians Concurrent

Answers

Answer 1

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.


Related Questions

Identity the slope and y intercept

Answers

Answer:

3,-2

Step-by-step explanation:

From the attached graph we need to find the slope and the y Intercept . The data that can beextracted from the graph is ,

The line passes through (0,3) and (1.5,0) .

Hence the y Intercept here is 3 , since the graph cuts y axis at 3 units above the x axis.

Slope :-

→ m = 3 - 0 / 0 - 1.5

→ m = 3/-1.5

m = -2

Hence the y Intercept is 3 and the slope is (-2) .

The order of numbers is not important in ____________ of rational numbers.​

Answers

Answer:

addition?

Step-by-step explanation:

5) The coordinates of A are (1, 0) and the coordinates of B are (2, 6), what are the coordinates of the midpoint of AB?

Answers

Answer:

The coordinate of the midpoint of AB is (1.5, 3).

Step-by-step explanation:

The midpoint of AB is the point that is the same distance between both points A and B. In order to find the midpoint, add the x and y values of points A and B respectively, and divide the sum by 2 to find the midpoint of AB. [tex]\frac{1+2}{2} = 1.5[/tex], so the x value of the midpoint is 1.5. [tex]\frac{0+6}{2} = 3[/tex], so the y value of the midpoint is 3. You'll get that the coordinate of the midpoint of AB is (1.5, 3).

your resturaunt bill is 42$ you want to leave a 15% tip, what should the tip be

Answers

Answer:

$6.30

Step-by-step explanation:

Answer:

The tip should be $6.30

Step-by-step explanation:

We can find 15 percent of 42$ by multiplying 42 by 0.15 (this is another way of writing down 15%) and so we get...

(42)(0.15) = 6.3

Therefore the tip should be $6.30

I need some help finding the volume of a sphere with a diameter of 18.6cm. The website says the answer I got from my calculator was wrong! Help would be greatly appreciated!

Answers

Answer:

V = 3,367.6 cm³

Step-by-step explanation:

Diameter of sphere (D) = 18.6 cm

radius (r) = ½(18.6) = 9.3

π = 3.14

Formula for volume of a sphere = ⁴/3πr³

Plug in the values

V = ⁴/3 × 3.14 × 9.3³

V = ⁴/3 × 3.14 × 804.357

V = (4*3.14*804.357)/3

V = 3,367.57463

V = 3,367.6 cm³ (nearest tenth)

need help on math please

Answers

The length of missing leg is √40 = 6..32

Answer:

This one should match according to the pythagoras theorem

Closest to the shaded area

Answers

Answer:

B) 30.9

Step-by-step explanation:

So, because the radius is 6, we know the diameter is 12, meaning we know each side is 12, so the total area of the square is 144.

To find the area of a square we should use pi(r) ^2 which is pi(6) ^2 which is 113.09. to find the area of the shaded are we would subtract these. 144- 113.09 this gets us 30.91, this is closest to B) 30.9

Ferris wheel diameter was 250 feet. Calculate it’s radius. If 40 steel rods were joined at the centre find the total steel required?

Answers

Answer:

785.5ft

Step-by-step explanation:

Given data

Diameter= 250ft

Radius= D/2= 250/2= 125ft

The total steel required can be found from the Circumference

C= 2πr

C= 2*3.142*125

C= 785.5ft

Hence the total steel required is 785.5ft    

Pleaseeee help #10 Which table below describes a linear function?
7 points
y
o
o
o
O
A
1
1
1
2
4
16
4
8
9
81
9
18
у
y
0
0
0
B
1
3
D
1
2
W
4
9
4
4
9
20
9
Ο Α
OB
Ос
Oo

Answers

Answer:a

Step-by-step explanation:

There is a photo. No explanation needed just answer thank you

Answers

It’s 125 because 5 over 3 is 5 (3) times so 5x5x5= 125 hoped this helped.

A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?

Answers

Answer:

ım not speak english because i'm turkish

The angle of the depression is equal to the angle of elevation for the same place.

The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

What is angle of elevation?

The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.

What is angle of depression?

The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.

Given information-

The distance between the ship and dock is 7 ft.

The one sailor is standing 10 ft above the dock level.

The another sailor is standing on the dock.

The angle of depression and elevation is shown in the image.

Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,

[tex]\tan \theta=\dfrac{10}{7}[/tex]

Find the value of angle as,

[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]

Hence the angle of depression is 55 degree.

As the angle of the depression is equal to the angle of depression for the same place.

Thus the angle of elevation is 55 degrees.

Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.

Learn more about the angle of depression here;

https://brainly.com/question/10217662

Please help as soon as possible​

Answers

Answer:

d, b + b + 3c and 2b + 3c

Step-by-step explanation:

the diameter is a circle is 16in. Find it’s circumference in terms of π.

C= ________in

Answers

S O L U T I O N :

According to the question,

Diameter of circle = 16 in

We are asked to calculate it’s circumference in terms of π.

Circumference of circle = 2πr

___________________________________

Let us first calculate the radius of the circle.

→ Diameter = 2 × Radius

→ 16 in = 2r

→ r = 16 in ÷ 2

→ r = 8 in

___________________________________

Substituting values in the formula of circumference,

→ C = 2πr

→ C = (2 × π × 8) in

C = 16π in

Therefore, 16π inches is the required answer.

Please help!!! DUE SOON!!
YOU WILL GET 25 POINTS!

Answers

Answer:

9. 105

10. 50

11. 55

Step-by-step explanation:

9. 180-75=m<EFB

10. 90-40=m<EGB

11. 75+50+m<FBG=180

⚠️10 points⚠️
⚠️no links ir i will report ⚠️

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answers

Answer:

8.9

Step-by-step explanation:

The distance between each point is 8.9, hope this helps!

Can someone help me out my grads are bad

Answers

Answer:

5/10 + 1/10 = 6/10 or if you simplify it 3/5

Step-by-step explanation:

1/2 = 5/10

1/10 = 1/10

5/10 + 1/10 = 6/10

6/10 = 3/5

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

1/2 + 1/10 = 5/10+ 1/10 = 3/5

Step-by-step explanation:

Find the LCD of 2 and 10 (10)

Add the two together (6/10)

Reduce (3/5)

Have a good day :)

Triangle FGH is similar to triangle IJK. Find the measure of side KI. Round your
answer to the nearest tenth if necessary.
43
8
H Η
G
K
J
31
F

Answers

Answer:

[tex]5.8[/tex]

Step-by-step explanation:

Similar shapes also maintain a constant proportion of sides. Therefore, we can set up the following equation:

[tex]\frac{31}{43}=\frac{\text{KI}}{8}[/tex]

Solving, we get:

[tex]\text{KI}=\frac{8\cdot 31}{43}\approx \boxed{5.8}[/tex]

help please help help help

Answers

Answer:

area = 32

perimeter = 30

Step-by-step explanation:

Formulas:

Area of a parallelogram: A = bh

Perimeter of a parallelogram: P = 2 ( b + s )

Where h = height s = slant height and b = base length

Define:

b = 8

h = 4

s = 7

Plug in given values into formulas and calculate

A = (8)(4)

8 * 4 = 32

A = 32

P = 2 ( 8 + 7 )

8 + 7 = 15

2(15) = 30

P = 30

A bag contains 5 green marbles, 7 yellow marbles, 4 blue marbles, 6 pink marbles, and 3 purple marbles. If two marbles are chosen without replacement, find the probability of choosing a yellow marble, then another yellow marble. Give your answer as a fraction in simplest form.

Answers

Answer:

The probability of choosing a yellow marble then choosing another one without replacement is 1/30.

Step-by-step explanation:

First, get the total amount of marbles.

5 + 7 + 4 + 6 + 3 = 25 total marbles.

Now find the probability of finding a yellow marble.

P = 5 yellow marbles / 25 total marbles.

Now find the probability of finding a yellow marble after pulling one without replacement.

P = 4 yellow marbles / 24 total marbles.

To find the probability of both events happening, multiply the probabilities together.

(5/25) * (4/24)

Multiply the numerators and denominators.

20/600

Simplify.

1/30.

HELP ASAP PLEASE 3 extra points if you get it right

Answers

It would be the origin

Answer:

origin

Step-by-step explanation:

because the arrow is pointing at zero so it is the origin

30 POINTS!!!!

HELP PLEASE!!!

Answers

Answer:

Step-by-step explanation:

Answer:

First Position: √22

Second Position: √19

Third Position: √21

Fourth Position: √18

What is the probability of flipping a coin 85 times and getting tails 50 times or
fewer? Round your answer to the nearest tenth of a percent.
A. 33.2%
B. 0.4%
C. 95.9%
D. 99.8%

Answers

Answer:

C: 95.9%

Step-by-step explanation:

To find this, we shall be using the cumulative binomial probability calculator

As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5

So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails

So we have the parameters as follows;

P( x ≤ 50)

n = number of trials = 85

p = probability of success = 0.5

r = number of success = 50

Using the parameters in the cumulative binomial probability calculator, we have the value as ;

0.9589 = 95.9%

Answer:

answering so the guy above gets brainliest

Evaluate:
26 (2n + 5) = [?]
Can someone please help me ASAP !

Answers

Answer:

it's 823 problem solved

Dylan wants to buy both the tablet and
the camcorder. How much will he pay
if he buys them during the sale?

Answers

Answer:

108$

Step-by-step explanation:

If 3 meters of a pinya cloth cost P200, how much will 9 meters of the same cloth cost? *

Answers

9 meters cost P600

Step-by-step explanation:

3×3 = 9

p200×3 =P600

Maya invests $3,500 into an ETF which earns 7% per year. In
30 years, how much will Maya's investment be worth if
interest is compounded semiannually (twice a year)? Round to
the nearest dollar.

Answers

i have no clue i just need points

Which of the following can cause market failure?
too much mobility
too much competition
not enough information
too much information

Answers

Answer: C

Step-by-step explanation: not enough information

Answer this question to get marked as brainliest!!!!

Answers

Answer:

7

Step-by-step explanation:

HELP DUE IN 10 MINS!

Circle R is defined by the equation ( x - 3)2 + ( y - 5)2 = 4. Select all of the points that lie on circle R.

A. (3,5)


B. (5,5)


C. (3,3)


D. (1,5)


E. (-1,5)


F. (3,7)

Answers

Answer:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

Step-by-step explanation:

The equation of a circle with radius [tex]r[/tex] and center [tex](h, k)[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

From this, we can find that the radius of the circle is [tex]\sqrt{4}=2[/tex] and the center of the circle is at [tex](3, 5)[/tex]. Therefore, the coordinates of all points exactly 2 units away from this center point will lie on the circle.

Out of all options given, the desired answers are:

B. (5,5)

C. (3,3)

D. (1,5)

F. (3,7)

solve 3x by 4 - 2x+5 by 3 = 5 by 2​

Answers

Answer:

50

Step-by-step explanation:

The given equation is,

→ 3x/4 - (2x + 5)/3 = 5/2

→ 3x × 3 - 4(2x +5)/12 = 5/2

→ 9x - 8x -20/12 = 5/2

→ (x - 20)/12 = 5/2

→ x - 20 / 6 = 5

→ x - 20 = 30

→ x = 20 + 30

x = 50

Hence the value of x is 50 .

Answer:

x=50

Step-by-step explanation:

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