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

What is the relationship between 0.04 and 0.004?

Answers

Answer: 0.04 is exactly 10 times as much as 0.004. If we multiply 0.004 by 10, we will get 0.04 as an answer. In other words, we can say that 0.004 is exactly 1/10th of 0.04. It means that if we divide 0.04 by 10, we will get 0.004 as an answer.

Answer:

Look below

Step-by-step explanation:

0.04 means 4 hundredths since if you divide 4 by 100 you get 0.04. You can try it yourself on a calculator. 0.004 is 4 thousandths. Same thing with 0.04, if you divide 4 by 1000 you will get 0.004. Hope this helps! If you want me to explain a bit more I can try

I NEED HELP I NEED HELP I NEED HELP I NEED HELP I NEED HELP

Answers

What do you mean? What’s the question?

Answer:

Unknown

Step-by-step explanation:

Question, not provided.

Please help me!!!! Thank you

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

In the given question, the two sides of the given triangles are parallel, so the the two corresponding angles of the Triangles are equal to one another.

Therefore, the Triangles are similar by AA similarity criteria ~

And since they are similar, the ratio of sides of one Triangle will be equal to ratio of corresponding sides of the other Triangle.

that is ~

[tex] \sf \dfrac{5}{7} = \dfrac{5 + 6}{y} [/tex]

[tex] \sf y = 11 \times \dfrac{7}{5} [/tex]

[tex] \sf y = \dfrac{77}{5} [/tex]

[tex] \sf y = 15.4[/tex]

Hence, value of l = 15.4 units ~

Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?

Answers

Answer: x = 3 and y = 5

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

$30

Step-by-step explanation:

Over 5 years she will have been paid $30 in interest. To find the amount of interest first find the total amount the account has after 5 years. The formula for simple interest is A=P(1+rt). Where A is the total amount, P is the principal (initial amount), r is the rate in decimal form, and t is the time in years.

Plug in the values to solve, A=200(1+0.03*5). Then, simplify to get A=230. Finally, to get only the interest, I, use the formula A-P=I. So, 230-200=30. Therefore, the interest Leila earned was 30 dollars.

$30 is the answer to the question

28-(3x+4)=2(x+6)+x In Distributive property please.

Answers

Answer:

X=4

Step-by-step explanation:

28−(3x+4)=2(x+6)+x

28+−1(3x+4)=2(x+6)+x(Distribute the Negative Sign)

28+−1(3x)+(−1)(4)=2(x+6)+x

28+−3x+−4=2(x+6)+x

28+−3x+−4=(2)(x)+(2)(6)+x(Distribute)

28+−3x+−4=2x+12+x

(−3x)+(28+−4)=(2x+x)+(12)(Combine Like Terms)

−3x+24=3x+12

−3x+24=3x+12

Step 2: Subtract 3x from both sides.

−3x+24−3x=3x+12−3x

−6x+24=12

Step 3: Subtract 24 from both sides.

−6x+24−24=12−24

−6x=−12

Step 4: Divide both sides by -6.

−6x

−6

=

−12

−6

x=2

Answer:

x = 2

Step-by-step explanation:

28 - 3x + 4 = 2x + 12 + x

24 - 3x = 3x + 12

     + 3x   +3x

24 = 6x + 12

-12          -12

12 = 6x

x = 2

In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative

Answers

Answer:

when the coefficient of x^2 is negative

Step-by-step explanation:

Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(8, 0), Q(6, 2), and R(−2, −4). Triangle P′Q′R′ has vertices P′(4, 0), Q′(3, 1), and R′(−1, −2).

Plot triangles PQR and P′Q′R′ on your own coordinate grid.

Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)

Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)

Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)

Answers

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent.

round 6.073 to 2 decimal places​

Answers

Answer:

6.07

Step-by-step explanation:

6.073 rounded to two decimal places is 6.07. Hope this helps.

the answer to the question is 6.07

Fabric length: 3 7/8 yd.
Cost per yard: $9.25
Total cost (rounded to the nearest cent): ?

A. $27.75
B. $34.96
C. $36.84
D. $35.84

Answers

3 x $9.25 = 27.75
4/8 = 9.25/2 = 4.6 so 27.75+ 4.6 equals 32.37 (so I’ve only done 4/8 so far but it states it’s 7/8 so we’re gonna go ahead and add 2/8 of it more so that it’s 6/8) therefore we know 4/8 is 4.6 we’ll divide that by 2 to get 2/8 and that would be 2.3 so 32.37 + 2.3 equals 34.67 Nd we do the same again with the remainder additional 1/8 since we know 2/8 is 2.3 then we divide it by two that would 1.15 so 34.67+ 1.15 equals 35.81 and the closest answer is D
$27.75 is the answer I believe!

Two different floor plans are being offered in a new housing development. Several prospective buyers from three different age groups were surveyed about which plan they preferred. Find the probability that a randomly selected buyer preferred Plan A or was in the 40- to 49-year-old age group.

Answers

Answer:

0.677

Step-by-step explanation:Add up the values in the plan A column. There are 10+12+16 = 38 people who prefer plan A.

Add up the values in the "40-49" row to find that 16+8 = 24 people are ages 40 to 49.

We have 38+24-16 = 46 people who either prefer plan A, are aged 40-49, or fit both descriptions. I subtracted off 16 because those 16 people were counted twice when adding 38 and 24.

An alternative way to get this value of 46 is to add up everything that is in column1 or row 3 (or both). So that would get 10+12+16+8 = 46.

Now add up everything in the table to find out how many people were surveyed total. That would be 10+7+12+15+16+8 = 68 people overall.

The probability of someone liking plan A, or being age 40-49, or both is 46/68 = 0.6765 approximately. Rounding to 3 decimal places gives 0.677

yall i need help asap! its due in 1hr!!​

Answers

Answer:

for number 6                       2x

for number 7                         8

Step-by-step explanation:

Answer:

6. 8x+3x-9x= 2x

7. 2x-3=13

or, 2x=13+3

or, 2x=16

or, x=16/2

Therefore, x=8

Maya ate breakfast and wanted to leave her waitress a 15% tip. Her meal cost
$7.50. How much money should Maya leave for the TIP?

Answers

Answer:

$1.13

Step-by-step explanation:

You multiply 0.15*7.5, and you get 1.125, which you add up to $1.13

Plz help me, i need this done 2 get my phone back

Answers

Answer:

Step-by-step explanation:

4x = 3yz^2

4x/3y = z^2

To undo an exponent you root it.

[tex]\sqrt{4x/3y} = z[/tex]

I believe this is it. you basically just have to divide by the numbers to get z by itself. If you have any questions please comment.

A barrel contained 100 gallons of water. Water leaked out of the barrel at a rate of 4 gallons every
5 days. At this rate, how many days did it take for all 100 gallons of water to leak out of the
barrel?
H 20 days
E 125 days
F 25 days
L 80 days

Answers

Answer: It will take 125 day

Step-by-step explanation: 100 divide by 4 = 25 and 25 x 5 = 125

can someone please help with this???​

Answers

Answer: Associative property

Answer:

yes

Step-by-step explanation:

its D

does anyone know the answer​

Answers

Answer: C. Distributive Property

Step-by-step explanation: To simplify this expression, you would multiply 6 by y and 2.

Initial value of 100 increasing at a rate of 5%

Answers

Step-by-step explanation:

105 is now total final value

Answer:

105..................

PLEASE HELP !! Find the value of x in the triangle shown below. x=?

Answers

Answer:

x+44+29=180

x+73=180

x=180-73

x=107

Answer: x+44+29=180

x+73=180

x=180-73

x=107

Step-by-step explanation:

According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 2x â€" 24. â€"4, â€"3, 2, 3, 4 Which are actual roots of f(x)?.

Answers

Rational root theorems are used to determine the potential roots of a polynomial function

The actual roots are 3 and -4The potential roots are [tex]\pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

The function is given as:

[tex]f(x) = 2x^2 + 2x - 24[/tex]

Expand

[tex]f(x) = 2x^2 + 8x - 6x - 24[/tex]

Expand

[tex]f(x) = 2x(x + 4) - 6(x + 4)[/tex]

Factor out x + 4

[tex]f(x) = (2x -6)(x + 4)[/tex]

Set to 0

[tex](2x -6)(x + 4) = 0[/tex]

Split

[tex](2x -6) = 0\ or\ (x + 4) = 0[/tex]

Make x the subject in both cases

[tex]2x = 6\ or\ x= -4[/tex]

Solve for x

[tex]x = 3\ or\ x= -4[/tex]

So, the actual roots are 3 and -4

Recall that, the function is:

[tex]f(x) = 2x^2 + 2x - 24[/tex]

For a function,

[tex]f(x) = px^n + ax^{n-1} +.......+q[/tex]

According to rational root theorem, the roots of f(x) are:

[tex]Roots = \pm \frac{Factors\ of\ q}{Factors\ of\ p}[/tex]

The roots of 24 are:

[tex]24 = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

The roots of 2 are:

[tex]2 = \pm1, \pm2[/tex]

So, the possible roots are:

[tex]Roots = \frac{\pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24}{\pm 1, \pm 2}[/tex]

This gives:

[tex]Roots = \pm1, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24,\pm0.5, \pm1, \pm 1.5, \pm 2, \pm 3, \pm 4, \pm6\pm 12[/tex]

Remove repetitions

[tex]Roots = \pm0.5, \pm1, \pm 1.5, \pm2, \pm 3, \pm 4, \pm 6, \pm 8, \pm12,\pm 24[/tex]

Read more about rational root theorem at:

https://brainly.com/question/11015301

3 and -4 dudes and dudettes

edg2022

150 - 0.5 = 120 + 0.25

Answers

Answer:

149.5 = 120.25

Step-by-step explanation:

Write the fraction as a decimal
Round to the nearest hundredth
8
11
[?] is i think 0.73 or 0.73/1. or 73/100

Answers

Answer: It is 0.73 my friend. Very good work.

Step-by-step explanation:

Help is needed for both of these. Please and thank u!

Answers

Answer:

1. x = 15° | y = 120°2. x = 4.5 | y = 60°

Step-by-step explanation:

1. 4x° + 4x° + 4x° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]4x + 4x + 4x = 180 \\ 12x = 180 \\ x = \frac{180}{12} \\ x = {15}^{o} \\ [/tex]

4x° + 4x° = y° ( An exterior angle of a triangle is equal to the sum of its two interior opposite angles. )

[tex]4x + 4x = y \\ 4(15) + 4(15) = y \\ 60 + 60 = y \\ {120}^{o} = y[/tex]

2. y° + 60° + 60° = 180° ( The sum of all interior angles of any triangle is equal to 180° )

[tex]y + 60 + 60 = 180 \\ y + 120 = 180 \\ y = 180 - 120 \\ y = {60}^{o} \\ [/tex]

All three internal angles are also congruent to each other and are each 60°. Therefore this is a equilateral triangle.

Perimeter = 4x + 4x + 4x ( An equilateral triangle is a triangle with all three sides of equal length. )

[tex]54 = 4x + 4x + 4x \\ 54 = 12x \\ \frac{54}{12} = x \\ x = 4.5[/tex]

What is the equation of the line.

Answers

Answer:

y = 1/2x - 1

slope = 1/2

y-intercept is

(0,-1)

what is 36×82×58+38?

Answers

171254 is the answer

Answer:

171,254

Step-by-step explanation:

calculate it

------------------------

I need help in math homework

Answers

aye just send me some of the problems I got you

6. Solve each equation by graphing. Round to the nearest tenth.
x2 - 6x= -8

Answers

The answer is for this question is A

Which of these equals 2.427? Select all that apply. A 1.34 + 1.087 B 1.4 + 1.027 C 8.35 - 5.923 - D 6 - 3.573. Please help I'm doing my homework

Answers

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

What's the formula for the area of a triangle?

Answers

Answer:

A=hb/2

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2. Find the area of a triangle where height = 5 cm and width = 8 cm. A triangle is always half the area of a rectangle with the same height and width.

Hey there!

“ What's the formula for the area of a triangle?”

The area of triangle formula is:

A = hbB/2

Whereas “hb” is your “height base” & “b” is your “base”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Side note:

You can look at the question for an example of what the area of a triangle is

how many solutions does x squared= 4x -5 have

Answers

Answer: There are no solutions

Answer:

Two

Step-by-step explanation:

x^2 = 4x - 5 is equivalent to x^2 - 4x + 5 = 0 in standard quadratic form.

All quadratics have exactly two roots/solutions.

In this case the coefficients of the polynomial are 1, -4 and 5, and so the discriminant is b^2 - 4ac, or (-4)^2 - 4(1)(5), or 16 - 20 = -4.

Since the discriminant is negative, we conclude that this polynomial has two complex roots/solutions.

Other Questions
Banking fees have received much attention during the recent economic recession as bankslook for ways to recover from the crisis. A sample of 31 customers paid an average fee of $11.53 permonth on their checking accounts. Assume the population standard deviation is $1.50. Calculatethe margin of error for a 90% confidence interval for the mean banking fee. WHAT IS THE THEME03.02 Planning Your NarrativeYou will read a story and a prompt. Then, you will organize your own story ideas in the Narrative Organization Chart.View the grading rubric as you complete your work. This is your guide to a super submission.Read the narrative "Grounded."In the Narrative Organization Chart, plan your own story based on this writing prompt. Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.Calculate the lower boundary of a 99% confidence interval.Give your answer as a decimal rounded to 3 places after the decimal. I need help finding the shaded area for d, e and f please and thank you Do cycloalkanes easily take part in addition reactions? Click to read the passage from Beyond the Wall: Essays from the Outside, byEdward Abbey. Then answer the question.Which of the following best describes the way that Abbey presents his ideasin this passage?A. Cause and effectB. Problem and solutionC. ChronologicalD. Description A mixture of argon and neon gases at a total pressure of 874 mm Hg contains argon at a partial pressure of 662 mm Hg. If the gasmixture contains 12.0 grams of argon, how many grams of neon are present? Why does the government sometimes use an expansionary fiscal policy? Newton Corporation was organized on January 1, 20X7. On that date, it issued 200,000 shares of its $10 par value common stock at $15 per share (400,000 shares were authorized). During the period January 1, 20X7, through December 31, 20X9, Newton reported net income of $750,000 and paid cash dividends of $380,000. On January 5, 20X9, Newton purchased 12,000 shares of its common stock at $12 per share. On December 31, 20X9, 8,000 treasury shares were sold at $8 per share. Newton used the cost method of accounting for treasury shares. What is the total stockholders' equity of Newton as of December 31, 20X9 4. How many Syrian refugees has Canada actually admitted since 2013? Explain. The Beatles had the five best-selling singles and the top two albums inAmerica less than a month after appearing on which of the followingprograms?A. Toast of the TownB. Casey Kasem's Top 40C. The Ed Sullivan ShowD. American Bandstand What will happen to the velocity and momentum of each ball when the small ball hits the heavier large ball? Why can't x^2+9 be factored? And is there a way to tell if a problem can be factored or not just by looking at it? the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm Office Manager: definition, what do they do?And, what is the training I need to become an office manager? 4. Complete the following chart.Alice Paul | VWomen SuffrageOct aviano Larrazolo | V1s Latino U.S. Senator??? | VNAACPA. Hiram RevelsB. Marcus GarveyC. Jane AddamsD. W.E.B. DuBois please help, will give brainliest!! share the following total in its given ratio. $18 at ratio 1.2 You used 6 3/4 cups of sugar while baking muffins and nut bread for a class party. You used a total of 1 1/2 cups of sugar for the muffins. Your nutbread recipe calls for 1 3/4 cups of sugar per loaf. How many loaves of nutbread did you make? A multiple-choice test has five questions, each with four choices for the answer. Only one of the choices is correct. You randomly guess the answer to each of the questions. Find the probability that you answer three of the questions correctly. Find the probability that you answer at most two of the questions correctly.