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

Where FT = 12.
Substitute 12 for FT in the above ratio

Express as fraction

Multiply both sides by 12

This gives

Divide 12 by 2

The measure of FQ is calculated using:

Substitute 12 for FT, and 6 for TQ

Add 12 and 6

Hence, the measure of FQ is 18, while the measure of TQ is 6
Read more about centroids at:
brainly.com/question/11891965
Answer:

Step-by-step explanation:
-32x+45-7(2x-9)=101
parenthesis first
-32x+45-14x+63=101
just combine like terms
-46x+108=101
minus 108 both sides
-46x= -7
answer is x 7 over 46
Answer:
(b) 5k+1
Step-by-step explanation:
https://www.symbolab.com/solver/step-by-step/simplify%20%5Cfrac%7B30k%5E%7B2%7D%2B6k%7D%7B5k%2Bk%7D
<span>3x=4y=7z
so
GCF:
3 * 4 * 7 = 84
3x = 84
x = 28
4y = 84
y = 21
7z = 84
z = 12
</span><span>least possible value for
</span><span>x + y + z = 28 + 21 + 12 = 61
</span>
answer
(d) 61