In ∆ABC below, AD, BE, and CF are medians that intersect at G. If CG=8x and CF=9x+6, what is the value of x?

In ABC Below, AD, BE, And CF Are Medians That Intersect At G. If CG=8x And CF=9x+6, What Is The Value

Answers

Answer 1

Answer:

Step-by-step explanation:

CG = [tex]\frac{2}{3}[/tex] CF

8x = [tex]\frac{2}{3}[/tex] (9x + 6)

8x = 6x + 4

2x = 4

x = 2


Related Questions

Question: 1/10 what is the equivalent percent and decimal?

Answers

Answer:

Decimal: 0.1

Percent: 10%

Step-by-step explanation:

Answer:

0.1 as decimal or 10% as percentage

help!!! please I will mark you as brainliest

Answers

Answer:

66 is it

Step-by-step explanation:

easy just say 66

please answer as fast as possible see the image below

Answers

Answer:

204.2 units

Step-by-step explanation:

Area of semicircle: 1/2(πr^2)

r = 5

1/2(π(5)^2)

94.2477796

Area of Rectangle: w * l

l = 11

w = 5(2)

11 * 5(2) = 11 * 10 = 110

Total:

110 + 94.2 = 204.2 units

Answer:

149.3

Step-by-step explanation:

total area = rectangle + semicircle

                = (11 x 10) + (1/2 x π 5²)

                = 110 + 39.27

                = 149.3

7/16 x -4/3 please help me out!

Answers

Answer:

-7/12

Step-by-step explanation:

7/16 ×-4/3

7×-4=-28

16×3=48

-28÷48÷ -0.58333333 or -7/12

Happy to help

These are your mathematical forms of simplifying:  7/16 x -4/3

-7/12 and -0.583 (repeated 3).

                       

I really need help with this math problems

Answers

Answer:

what do you help with???

graphing it or....

Step-by-step explanation:

How many significant digits are there in the measurement 84,000 kg

Answers

Answer:

[tex]\boxed {\boxed {\sf 2 \ significant \ figures}}[/tex]

Step-by-step explanation:

According to the "rules" of significant figures, all the zeroes to the right of the final non-zero number are not significant, unless there is a decimal point.

We are given the measurement:

84,000 kg

If there was a decimal point (84,000.0 kg), then there would be 5 significant figures.

Since there isn't a decimal point, all 3 zeroes to the right of the number 4 aren't significant. The 8 and 4 are significant, so there are 2 significant figures.

It costs a baker $13 to make a small cake. He sells 7 small cakes for $280.How much more is the selling price of each cake than the cost?

Answers

Answer:

$27 more

Step-by-step explanation:

280 ÷ 7 = 40

40 - 13 = 27

Answer:

$189 baker cakes will be sold

p2 + m

key :
m = -2/3
p = -3

(the 2 is an exponent)

Answers

Answer:

the correct answer is 8 1/3

what is the value of x in x/2 =10

Answers

Answer:

x=20

Step-by-step explanation:

multiply both sides of the equation by 2

x=20

Answer:

20

Step-by-step explanation:

20 divided by 2 is equal to 10

Just multiply 2 by 10 to get the answer

Which of the following is the slope of the line passing through the points A(-6, 10) and B(-2, 7)

Answers

Answer:

[tex]m=\frac{-3}{4}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define Points

A (-6, 10)

B (-2, 7)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{7-10}{-2+6}[/tex]Subtract/Add:               [tex]m=\frac{-3}{4}[/tex]

And we have our final answer!

Answer:

[tex]-\frac{3}{4}[/tex]

Step-by-step explanation:

To find the slope of the line, we use the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when we are given the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].

When we plug the points A(-6,10) and B(-2,7) into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], we get the equation [tex]\frac{7-10}{-2-(-6)}[/tex].

[tex]\frac{7-10}{-2-(-6)}\\= \frac{-3}{4}[/tex]

Therefore, the slope of the line is [tex]-\frac{3}{4}[/tex].

I hope this helps!

Jse the zero product property to find the solutions to the equation x2 - X-6 = 0.
O x=-3 or x=-2
O x= -3 or x= 2
O x=-2 or x= 3
O x=2 or x= 3

Answers

D is the best option your welcome

if m<4=105 what is m<5

Answers

Answer:

m<5=131.25

Step-by-step explanation:

Divide 105 by 4.

Multiply 26.25 by 5.

Work out the area of a rectangle with base, b = 5.5mm and
height, h = 2mm.

Answers

Answer:

area is 11 mm squared

Step-by-step explanation:

A=bh

A=5.5*2

A=11 mm squared

more help pls im so dumb

Answers

Same g we can be dumb together :)

What's e=mc²? I need it for my math class

Answers

Answer:

E = mc^2. It's the world's most famous equation, but what does it really mean? "Energy equals mass times the speed of light squared." On the most basic level, the equation says that energy and mass (matter) are interchangeable; they are different forms of the same thing.

Step-by-step explanation:

E = energy

m = mass

c = the speed of light

Answer:

E represents units of energy, m represents units of mass, and c2 is the speed of light squared,

Step-by-step explanation:

So energy = mass times speed squared

A baseball is thrown in a parabolic arc. It's position above the ground at a given
point in time can be represented by the quadratic function
p(t) = {gt2 + vot + Po, where t > 0. g is -32 ft/sec/sec, vo is initial
velocity, and Po is its initial position above the ground. If the ball was thrown
straight up at 40 ft/sec when it was 5 ft above the ground, how high did it go?
(Type the number, do not include units in your answer)

Answers

Answer:

P(t) = 17.5 feet

Step-by-step explanation:

The position above the ground at a given  point in time can be represented by the quadratic function as follows:

[tex]P(t)=gt^2 + vot + Po[/tex]

Where,

Po is the initial position above the ground

If the ball was thrown  straight up at 40 ft/sec when it was 5 ft above the ground.

We need to find the height reached by the ball.

The equation will become :

[tex]P(t)=-32t^2 + 40t+ 5[/tex]

Firstly we find the time taken to reach its maximum height

Put, dP(t)/dt = 0

[tex]\dfrac{d(-32t^2+40t+5)}{dt}=0\\\\-64t+40=0\\\\t=0.625\ s[/tex]

Now put t = 0.625 in equation (1) as follows :

[tex]P(0.625)=-32(0.625)^2 + 40(0.625)+ 5\\\\=17.5\ \text{feet}[/tex]

So, it will go at a height of 17.5 feet.

question is the picture
it’s triangles congruent please help me if ur a nice person

Answers

Answer: The answer is the first choice, <L = <P

Step-by-step explanation:

There are two triangles.

Triangle LMN

         and

Triangle PQR

If both of these triangles are congruent then that must mean that:

<L = <P

<M = <Q

<N - <R

Hope this helps!!

Suppose the income tax rate is 5%. Determine the amount of money
remaining after paying income tax on $85,000?

Answers

Answer:

$80750

Step-by-step explanation:

85k is what you have. Tax rate is 5%

85000*5/100=tax income

which equals to 4250

the remaining money is only 85000-4250=80750

Of a box of paper clips, 2/3 are red and the rest are green. If there are 120 red paper clips, how many green paper clips are there.

Answers

Answer:

There are 60 green paper clips.

Step-by-step explanation:

if 2/3 of the box = 120 clips, then you can determine that 1/3 is 60, since 1/3 is half of 2/3. If 1/3 is 60, Since you already know that 2/3 is 120 clips, you add 60 to get 180 total clips, and 60 of them are green.

Answer:

60 Green Paper Clips

Step-by-step explanation:

120/2 = 60 (which would be 1/3)

Consider the following IP problem:

Maximum Z= 5x1+x2

subject to
-x1+2x2 <=4
x1-x2 <=4
4x1+ x2 <=12

and
x1 >=0, x2>=0
x1, x2 are integers

a. Solve this problem graphically.
b. Solve the LP relaxation graphically. Round this solution to the nearest integer solution and check whether it is feasible. Then enumerate all the rounded solutions by rounding the solution for the LP relaxation in all possible ways (i.e., by rounding each noninteger value both up and down). For each rounded solution, check for feasibility and, if feasible, calculate Z. Are any of these feasible rounded solutions optimal for the IP problem?

Answers

Answer:

[tex](3,0)[/tex]

Step-by-step explanation:

The integer points which fall in the common region bounded by the lines are

[tex](0,2),(2,3),(3,0)[/tex]

Since, one of the points is [tex](2.22...,3.11....)[/tex] we round it to [tex](2,3)[/tex]

If we round up then the point will be [tex](3,4)[/tex] which does not fall in the bounded region.

Also [tex]x_1\geq 0[/tex] and [tex]x_2\geq 0[/tex] no negative values are considered.

Applying in the values in the LP problem [tex]Z=5x_1+x_2[/tex]

[tex]Z=5\times 0+2\\\Rightarrow Z=2[/tex]

[tex]Z=5\times 2+3\\\Rightarrow Z=13[/tex]

[tex]Z=5\times 3+0\\\Rightarrow Z=15[/tex]

So, the LP problem is maximum at point [tex](3,0)[/tex].

Q16. Find the area of the shaded region (4 corners) with each side = 12 in.
1 3.14
12 in
Use
12 in

Answers

Answer:

D. 30.96 in²

Step-by-step explanation:

The area of the shaded region = area of the the square - area of the circle

= (s²) - (πr²)

s = 12 in

r = radius of circle = ½ of 12 in = 6 in

π = 3.14

Plug in the values into the equation

Area of the shaded region = (12²) - (3.14*6²)

= 144 - 113.04

= 30.96 in²

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day.

Answers

Answer:

you can eat candy for 25 days

Step-by-step explanation:

Does △ABC appear to be the same size and shape as △XYZ? Explain.

Right triangles A B C and X Y Z. A B C has shorter leg equal to 5 and hypotenuse equal to 13. Longer leg B C is horizontal. X Y Z has shorter leg equal to 5 and hypotenuse equal to 13. Hypotenuse X Y is horizontal.
A. Yes; △ABC maps onto △XYZ with a translation and a rotation.
B. Yes; △ABC maps onto △XYZ with a translation and a reflection.
C. Yes; △ABC maps onto △XYZ with a rotation and a reflection.
D. No; the triangles are different sizes.

Answers

Answer:

yes

Step-by-step explanation:

Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct.

What is triangle?

Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.

Given:

Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,

The triangles ABC and XYZ are similar by SAS similarity, as,

AC = XZ = 5,

AB = YZ = 13

∠ ACB = ∠ XZY

When you translate and then rotate triangle ABC, you will get triangle XYZ.

To know more about Triangles:

https://brainly.com/question/16886469

#SPJ2

(Who ever helps me gets brainliest!! :) )


What is 4 x 3/8 ?


write at least two sentences to support your answer :)

Answers

Answer: 1.5

Explanation: I'm sorry, I can't rlly get into to much details bc i have an assignment thats do in a couple of minutes but hopefully this helps!

Answer:

4/3, or 1 1/3

Step-by-step explanation:

For a whole number, 1 is always the denominator. It would look like 4/1 x 3/8. Then you would multiply both the numerators and denominators. That would get you 12/8. Simplify it, to get 4/3. If you want to simplify it even more, you would get 1 1/3.

PLS HELP NOW !!!!!!!!!!!!!!!!!!!!!!!!! sorry please help asap

Answers

The answer is c, please tell me if you need an explanation! :)

Answer:

B

Step-by-step explanation:

A and C would not be it, since it is taking away.

and by this it leave us with B and D. Since D does not look so great , it B

Convert the following measurements. Round your answers to two decimal places.
a. 14,974 pounds to tons
b. 8,047 ounces to pounds
c. 64 ounces to pounds
d. .27 ton to pounds

Answers

A) 7.49 tons
B)502.94 pounds
C) 4 pounds
D) 540 pounds

There are 35 beverages on the table if the ratio of beverages is 3:2 coffee to tea how many cups of coffee are there in total

Answers

Answer:

21 cups of coffee

Step-by-step explanation:

So the coffee:tea is 3:2. We can put it as 3x+2x=35 as we know there are 35 drinks, do not know the exact number of coffee and tea, but know the ratio.

3x+2x=353x+2x=35 Combine like terms, 5x=35Divide by 5 to isolate variable, x=7

Now, x=7. So coffee is 3(7)=21 and tea is 2(7)=14.

This is algebra one or two please mark me brainlist please

Aaron mowed 7 lawns in 4 hours. At that rate, how long will it take him to mow 21 lawns?

Answers

Answer:

12 hours

Step-by-step explanation:

So, 7 times 3 is 21. This means he have to multiply 4 by 3 to get 12.

5/12 divided by 2 pls help asap

Answers

Answer:

I am pretty sure it's 0.2

Answer:

5/24

Step-by-step explanation:

To find 5/12 divided by 2, we do keep change and flip

Therefore we keep 5/12 change the division sign and flip the 2

We will get

5/12 * 1/2, this would give us 5/24

help and get brainiest

Answers

C

the coins worth should be times the number of coins (dimes/quarters)

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