Given that T is the centroid of △DEF and FT=12

Given That T Is The Centroid Of DEF And FT=12

Answers

Answer 1

The centroid of a triangle divides the median of the triangle into 1 : 2

The measure of FQ is 18, while the measure of TQ is 6

Because point T is the centroid, then we have the following ratio

[tex]\mathbf{TQ : FT =1 : 2}[/tex]

Where FT = 12.

Substitute 12 for FT in the above ratio

[tex]\mathbf{TQ : 12 =1 : 2}[/tex]

Express as fraction

[tex]\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}[/tex]

Multiply both sides by 12

[tex]\mathbf{TQ =\frac{1 }{ 2} \times 12}[/tex]

This gives

[tex]\mathbf{TQ =\frac{1 2}{ 2}}[/tex]

Divide 12 by 2

[tex]\mathbf{TQ =6}[/tex]

The measure of FQ is calculated using:

[tex]\mathbf{FQ = FT + TQ}[/tex]

Substitute 12 for FT, and 6 for TQ

[tex]\mathbf{FQ = 12 + 6}[/tex]

Add 12 and 6

[tex]\mathbf{FQ = 18}[/tex]

Hence, the measure of FQ is 18, while the measure of TQ is 6

Read more about centroids at:

https://brainly.com/question/11891965


Related Questions

Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8

Answers

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].

If we were to replace w with 4 and calculate, we will find the answer:

[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]

[tex]10*4+8=40+8=48[/tex]

Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

Help for brainliest plz

Answers

Answer:

oh uhm that is 3,4 <3

Step-by-step explanation:

It will be 3,4 that will be your answer

5/6 divided by 3/4 in simplest form

Answers

Answer: The answer is 1 1/9.

Explanation: Multiply the numerator by the reciprocal of the denominator(5/6 x 4/3). Cancel the common factor of 2, then multiply 5/3 x 2/3. The result is 10/9, which is an improper fraction which should be converted to the mixed fraction 1 1/9.

raplhy jogs at a rate of 4/2 miles in 2/5 of an hour. What is his speed in miles

Answers

Answer:

Ralph's speed is 2 miles in 24 minutes.

(Unit rate, Ralph runs 1 mile in 12 minutes)

Step-by-step explanation:

4 divided by 2 is 2 (miles)

2/5 of an hour is 24 minutes (60/5=12+12=24)

Y'all... Please help I need help with freaking math...

Answers

15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50

The sale price of the laptop is 722.50

please help brainliest if correct and best explanation

Answers

Answer: 120

Step-by-step explanation:

first you distribute 5 to 11 and -17 to get (55 - 85) then you distribute 6 to 14 and -7 to now get (55-85) + (84-42) then you distribute -12 to 2 and 7 to now have (55-85) + (84-42) - ( -24 + -84) to get 120 you multiple when you distruibute for these cause its outside the parenthesis so you multiply the number by everything in the parenthesis

The sum of a number and negative three, multiplied by the number? ​

Answers

Answer:

x² - 3

This expression is not linear

Step-by-step explanation:

Let x = unknown number

The sum of a number and negative 3

Sum = addition

We are adding the unknown number "x" and -3

So we have x + (-3) or just x - 3

The sum of that is multiplied by the unknown number

So we get ( x - 3 ) x

We can then simplify this expression to get  x² - 3x

Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line

A pet store sold 36 Siamese cats. If the ratio of Siamese cats to house cats sold was 4:9, what is the combined amount of cats sold

Answers

 The combined amount of cats sold is 117.

Ratio expresses the relationship between two variables. It shows the frequency of which that one value is contained within another variable.

The ratio of  Siamese cats to house cats = 4 : 9

Number of Siamese cats = 36

Number of combined cats = c

This equation can be formed using the above information:

4/13 x c = 36

4c = 468

c = 468 / 4

c = 117

A similar question was answered here: https://brainly.com/question/411732

What is the slope of (-3, -2) and (-1, -5) ??

Answers

Answer:

-3/2 or -1 1/2

Step-by-step explanation:

The slope, plugging into the equation (y_2-y_1)/(x_2-x_1) would be -5 + 2 / -1 + 3, or -3/2, which can also be - 1 1/2

Answer:

-3/2

Step-by-step explanation:

slope ('m') formula:  (difference of the y-values) ÷ (difference of the x-values)

m = -2-(-5) ÷ -3-(-1)

m = 3 ÷ -2

slope = -3/2

What is the exact value of tan(−π4)?

Enter your answer in the box.

Answers

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

Simplify and leave your answer in index form

Answers

Answer:8a^7

Step-by-step explanation:

Answer:

8a⁷ is the simplified form of 4a² x 2a⁵.

Step-by-step explanation:

4a² x 2a⁵=> 4 x a² x 2 x a⁵=> 8 x a²⁺⁵=> 8 x a⁷=> 8a⁷

Conclusion:

Therefore, 8a⁷ is the simplified form of 4a² x 2a⁵.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

6. Kiara's father is paying for a $40 meal. He has a 20%-off coupon for the meal. After the discount, a 6% sales tax is applied. What does Kiara's father pay for the meal? Explain or show your reasoning.

Answers

Answer:

33.92

Step-by-step explanation:

40 x .2= 8

40-8= 32

32x.06=1.92

32+1.92= 33.92

Please help trigonometry

Answers

Answer:

= 59.36

Step-by-step explanation:

S = 207

so, tan(16) = H/S

tan(16°) = 0.28674539

so H = tan(16) * S = 0.28674539 * 207 = 59.35629573

so the tree high = 59.36 foot

What is the circumference of a circle with a diameter of 14 feet?
A. 14 pi feet
B. 96pi feet
C 196pi feet
D. 7 pi feet

Answers

Solution-
Circumference of circle: 14 pi feet or 43.98.
But here answer is option A.
Answer:A
The answer is A. Hope this help

i need help asap)))))))))))))))))))))

Answers

Answer: a

Step-by-step explanation:

u do 1+1

A small town has two local high schools. High School A currently has 800 students and is projected to grow by 55 students each year. High School B currently has 950 students and is projected to grow by 25 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine the interval of years, t,t, for which High School A will have more students than High School B.

Answers

Answer:

40

Step-by-step explanation:

The time it takes to distribute pamphlets varies inversely with the number of people distributing them. If it takes 40 min for 3 people to distribute the pamphlets, how long would it take if there were 5 people distributing the pamphlets?​

Answers

Using proportions, it is found that it would take 24 minutes if there were 5 people distributing the pamphlets.

This question is solved by proportions, using a rule of three.The more people that are there distributing the pamphlets, the less time it takes, hence the measures are inverse proportional, which means that line multiplication is applied instead of cross multiplication.3 people take 40 minutes. How many minutes 5 people take?

The rule of three is:

3 people - 40 minutes

5 people - x minutes

Applying line multiplication:

[tex]5x = 120[/tex]

[tex]x = \frac{120}{5}[/tex]

[tex]x = 24[/tex]

It would take 24 minutes if there were 5 people distributing the pamphlets.

You can learn more about proportions at https://brainly.com/question/24372153

You want to make sugar cookies and chocolate chip cookies. You have only one dozen eggs and 20 cups of flour. For each batch of sugar cookies you need 1 egg and 2 cups of flour, for chocolate chip cookies you need 2 eggs and 2 cups of flour per batch. You know you need to make at least 3 batches of sugar cookies. How many of each type should they make to get the best profit?​

Answers

Answer:

check online for more information

-3/10 + 4/15
Solve the above problem

Answers

Answer:

-1/30

Step-by-step explanation:

find the lcm of 10 and 15

then solve it

Compare 37,007 and 30,707. Which
is greater?

Answers

Answer: 37,007 is greater

Step-by-step explanation:

Can i get a brainliest

Answer:

37,007 is greater than 30,707

Step-by-step explanation:

Thats because as you can see reading the numbers left to right, the first ones on the far left are both 3s. so so far they're the same. then go to the second number, making sure you're moving left to right. 7 is more than 0 therefor 37,007 is greater than 30,707

Darren got 42 out of 56 correct on a test. What percent of the questions did he get correct?

Answers

Answer: Darren got 75% of the questions correct.

Step-by-step explanation:

To find the percentage of questions Darren got correct, we can divide the questions he got correct by the total number of questions.

42 ÷ 56 = 0.75

0.75 X 100 = 75

So, Darren got 75% of the questions correct.

On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?

Answers

Answer:

They sold 111 Hamburgers

Step-by-step explanation:

Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.

So, X+3X=444 is what you need to solve this. This is the same as 4x=444

So, x=111

Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers

Erick paid a $75 registration fee to join the gym. He pays $15 each month.
How much will Erick pay to use the gym for 5 months?

Answers

Answer:

$150

Step-by-step explanation:

Erick has to pay $15 per month so for 5 months he will have to pay $75 because 15 times 5 is 75. So $75 for registration fee + $75 for 5 months to use the gym give us $150

How do I find domain and range.

Answers

Answer:

The domain is all the x values and the range is all the y values.

Since there are 6 points on the figure, just find the coordinates (x, y) for all the points. Then get all the x and y values separated in a table.

I'm just going to assume this is scaled by 1 unit per square

Here are all the points on the graph:

(-6, -1)

(-4, 3)

(-4, -6)

(0, 2)

(2, -2)

(5, 7)

Now just split them into their x and y values

The Domain: -6, -4, 0, 1, 5

The Range: -1, 3, -6, 2, -2, 7

Answer:

Interval notation

Domain: [-6, 5]Range: [-1, 7]

Step-by-step explanation:

The domain is the x-value on the x-axis. The range is the y-value on the y-axis.

Find the two highest points on opposite sides in the graph.

find the x-values (refer to the image below)find the y-values (refer to the image below)

After this step has been completed, you can write it in different forms, for example in interval notation:

The domain would be [-6, 5]

The range would be [-1, 7]

Note - for interval notation, when the point is a closed circle, the ending parenthesis would be "[ "or "]". However, when it is an open circle, the parenthesis would be "( "or ")".

2x+y=−1.5
y=3.5x+15.

Answers

Answer:

x=-3, y=4.5

Step-by-step explanation:

Please help me.........

Answers

Answer:

8/15

Step-by-step explanation:

hope this helps!!! :D

Answer: 8/15

Step-by-step explanation: Tangent is opposite/adjacent

The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.

For the future, remember these:

Sin = opposite/hypotenuse

Cos = adjacent/hypotenuse

Tan = opposite/adjacent

Therefore, tan is 8/15.

Hope this helps.

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Answers

Scale down 1/2 and a 180 degree flip

The cafe sells Beetle Juice and Potion Punch. A cup of Beetle Juice costs $2.50 and a cup of Potion Punch costs $3. Owen ordered 5 drinks for his group and spent $14. Write a system of equations to find the number of cups of beetle juice, j, and potion punch, p, that Owen purchased.

Answers

Answer:

2  Beetle juices and 3 Potion Punch

Step-by-step explanation:

j = Beetle Juice       cost $2.50

p = Potion Punch      Cost $3

         j + p = 5                      Multiply by -3              -3j  - 3p = -15

$2.50j + $3p = $14           Do not change      +   2.50j  -3p = 14      

                                                                                 - .50j      = -1

                                                                                          j = 2   Beetle Juice

   Substitute into the fist equation and solve for y       j + p = 5

                                                                                         2 + p = 5

                                                                                              p = 3   Potion Punch

The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?

Answers

Answer:

6 inches.

Step-by-step explanation:

If the width is x inches then the length is x + 3.

S0

Perimeter = 2x + 2(x +3)

18 = 2x + 2x + 6

4x = 18 - 6 = 12

x = 3.

So the length = 6 inches.

Perimetre = 18 inch

Let the width be x

length = x+3

Perimetre of rectangle = 2(length+width)

18 = 2[(x+3)+x]

18 = 2(2x+3)

18 = 4x+6

4x = 18 - 6

4x = 12

° x = 12/4 = 3

Length = x+3 = 3+3 = 6

° The length of rectangle is 6 inch.

PLEASE HELP!! I need someone who know probability and statistics please.
A store manager claims that 60% of shoppers who enter her store make a purchase. To investigate this claim, she selects a random sample of 40 customers and finds that 40% of them make a purchase. She wants to know if the data provide convincing evidence that the true proportion of all customers who enter her store that will make a purchase differs from 60%. The P-value of this test is 0.0098. Interpret the P-value.

A. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.

B. Assuming the true population proportion of shoppers who will make a purchase differs from 0.60, the probability of obtaining a sample statistic of 0.40 in a random sample of 40 customers is 0.0098.

C. Assuming the true population proportion of shoppers who will make a purchase is 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

D. Assuming the true population proportion of shoppers who will make a purchase is different from 0.60, the probability of obtaining a sample statistic as extreme as or more extreme than 0.40 in a random sample of 40 customers is 0.0098.

Answers

D because I should make more since
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