The medians of ADEF are DK, EL, and FJ. They meet at a single point M.
(In other words, M is the centroid of ADEF.)
Suppose ML = 9, MJ=8, and DK = 24.
Find the following lengths.
Note that the figure is not drawn to scale.

Answer:

FJ = 24

DM = 16

EM = 18

Step-by-step explanation:

I remember that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side. Therefore the median is split into two parts where one side is always twice as long as the other. So given that segment ML is 8, the other part of the segment (DM) must be 16 as 16 is 2/3 of 24 and 8 is 1/3 of 24 and 1/3 + 2/3 = 1.

Therefore, since MJ is 8, FM must be twice as long so it is 16. Add them up to get FJ, and 8 + 16 is 24.

Finally for EM, since the longer part of the median is twice the length of the smaller part EM must be 18 since 9 × 2 = 18, and 2/3 of 18 is 27, 9 + 18 = 27.

Bob baked 175 brownies to give seven of his friends if he splits the brownies evenly and keeps none for himself how many brownies will each friend get

Brennan studies the relationship shown in the table. Which expression describes a method Brennan could use to determine the y-value when x equals 7?

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP ME I BEGGING YOU PLZZZZZZZZZZZZZZZ HELP!!!! (55 POINTS)


1. Evaluate 8a - b if a = 10 and b = 6

74

38

1000

9000

2. Evaluate expression if a=3 and b=4 . 4b-5a

2

1

-8

8

3. Evaluate Expressions a=3 b=4, 7a + 8b x 2

110

100

80

85

4.Strawberries are $1.95 a pound. Write an expression for p pounds of strawberries.

$1.95+p

$1.95-p

$1.95/p

$1.95p

5. Kenneth has g gumballs. Maggie has 29 fewer gumballs than Kenneth. Choose the expression that shows how many gumballs Maggie has.

g+29

29g

g-29

g ÷ 29

6) 5 + 36 ÷ 2 x 3 - 4

7

55

12

78

7)18 + (6 – 2) × 2

26

29

40

44

8.Expand -3( 2r + 5s).

-6r - 15s

-6r + 15s

-6r - 15

-6r + 2s

9. Expand and simplify 5(2 - 3y)

10 - 15y

10 + 15y

10 - 2y

10 - 3y

10.Factor: 7x + 49y

7(x + 7y)

7(x + y)

can't be factored

7(x + 48y)


11. Factor 6p − 36

6(p − 6)

2(3p − 36)

3(2p − 6)

can't be factored

12. Which expression contains exactly 3 terms?

A. 5 + 6xy

B. 8 + 2y - 5x

C. 9 + 4t

D. 24xy

13. What is the coefficient of x?8 + 5x - y

A. 8

B. 0

C. 5

D. -5

14. Identify the "like terms" in the expression: 2x + 4y - 3x + y - x

A. 2x and 4y and -3x

B. 2x and -3x and x; 4y and y

C. they are all like terms

D. there are no like terms


15. Factor 5x − 25

Which could be the first step in solving the equation represented by the model below?

A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

It also detects if you are right or wrong

Brainlest-Pls help me pls thank you sm In advance

Find the length of the unknown side. Round your answer to the nearest whole number. (4 points)

Image of a right triangle with legs labeled 12 meters and 8 meters. Hypotenuse is
unknown.
13 meters
14 meters
200 meters
208 meters

Roll a number cube. If the number cube comes up odd, you win the same number of points as the
number on the cube. If the number comes up even, you lose 4 points.
What is the expected number of points per roll?
-0.25
-0.5
0
Oo oo
0.25
0.5

9. FLUENCY: ONLY USE A CALCULATOR TO CHECK!
1500 + (6 + 4*) 37
Your answer

.
HELPPP
The equation of the line in slope Intercept form is

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

Please help me find the area of this!!! 15 points!!

A camera can take 3/4 of a picture per second. How many pictures can it take in 16
seconds?

2x+7=3x+4
step by step

You roll an eight-sided die. What is the chance that it will land on either a 2 or a 5? Write your answer as a fraction.​

please help i don’t know how to do this

Find the slope and y-intercept of the following equation (Encuentra la pendiente y la
intersección con el eje y de la siguiente seuación)
(2 Points)
y = - 3r +9
slope = -3; y-intercept = 9
slope = 9; y - intercept - 3
slope = 3; y - intercept = 3
slope = 9; y - Intercept =
- 27

A house costs $18,000, which is 9/10 the cost of a car. A motorcycle costs 1/5 the cost of the car, or 4/5 the cost of 100 cards. How much is the cost of 30 cards?
PLZ PLZ PLZ PLZ PLZ HELP!!!!!!!!!!!!!

Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?

The point (-3, -5) is on the graph of a function. Which equation must be true regarding the function?
SAAB
Of(-3) = -5
f(-3,-5) = 8
f(-5) = -3
O f(-5, -3) = -2

I WILL MAKE YOU BRAINIELIST.
what is 37829192976277×2283838328282

​

Describe a strategy for finding the difference of two temperatures/Answer in complete sentences.


Hello this is my question if you answer correctly you will receive 30 points plus branliest please be mindful and help me solve this question ASP

The temperature one cold morning is -5 °C. By noon, the temperature had increased by 3 degrees and at 4 PM the temperature was zero. The increase from noon to 4 PM was

What is the value of x in the equation One-third x minus two-thirds = negative 18? –56 –52 52 56 Need answer ASAP!!!! Being Timed

6th grade math
34/51 = x/3
solve pls

A science teacher ordered S2278 worth of microscopes and dissection kits for the new science lab. A total of
26 microscopes and 56 dissection kits were ordered. A microscope costs three times as much as a dissection
kit. Write a system of linear equations that represents this situation. What is the cost of each item?

what is slope intercept form?​

discriminate of 2x2 – 9x + 2 = –1

WILL MARK BRAINLIEST PLEASE HELP

Choose the correct Triangle Congruence Theorem