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insens350 [35]
2 years ago
5

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

Mathematics
1 answer:
dlinn [17]2 years ago
6 0

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

\mathbf{TQ : FT =1 : 2}

Where FT = 12.

Substitute 12 for FT in the above ratio

\mathbf{TQ : 12 =1 : 2}

Express as fraction

\mathbf{\frac{TQ }{ 12} =\frac{1 }{ 2}}

Multiply both sides by 12

\mathbf{TQ =\frac{1 }{ 2} \times 12}

This gives

\mathbf{TQ =\frac{1 2}{ 2}}

Divide 12 by 2

\mathbf{TQ =6}

The measure of FQ is calculated using:

\mathbf{FQ = FT + TQ}

Substitute 12 for FT, and 6 for TQ

\mathbf{FQ = 12 + 6}

Add 12 and 6

\mathbf{FQ = 18}

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

Read more about centroids at:

brainly.com/question/11891965

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A small theater sold 72 tickets for a
Mariulka [41]

Answer:

Number of child tickets = 9

Number of adult tickets = 36

Number of senior tickets = 27

Step-by-step explanation:

Given:

The ratio of adult tickets to child tickets = 4:1

Ratio of adult  tickets to senior tickets = 4:3

Number of total tickets = 72

Find:

The number of each ticket.

Computation:

Ratio between Adult to senior to child = 4:3:1

So,

Number of child tickets = [1 / (4+3+1)]Total tickets

Number of child tickets = [1 / (8)]72

Number of child tickets = 9

Number of adult tickets = [4 / (4+3+1)]Total tickets

Number of adult tickets = 36

Number of senior tickets = [3 / (4+3+1)]Total tickets

Number of senior tickets = 27

4 0
3 years ago
Choose one of the factors of 1331x3 − 8y3.
daser333 [38]
B is the answer hope this helps :)
7 0
3 years ago
Read 2 more answers
Can u pls help me with this question asap ​
Annette [7]

Answer:

C

Step-by-step explanation:

Since "P" is -4, add POSITIVE 6.5 to it. It makes 2.5

hope it helps :D

7 0
2 years ago
Please I need you guys help​
borishaifa [10]

Plz mark me as brainliest if this helped :)

6 0
3 years ago
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a green ribbon is 9 inches long. a red ribbon is 1/10 the length of the green ribbon. a purple ribbon is 10 times as long as the
pishuonlain [190]
Answer: 900 inch
There is 3 ribbon in this question, Red ribbon(R), green ribbon(G) and purple ribbon(P). The relation would be
1. R= 9 inch
2. R= 1/10 G
3. P= 10 G

If you insert equation 1 into 2 then you will get:
9inch= 1/10G
G= 90 inch

After that insert the new equation into equation 3:
P= 10x 90 inch
P= 900inch
7 0
3 years ago
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