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:
Answer:
True
Step-by-step explanation:
In order for a relation (a set of ordered pairs) to be considered a <em>function</em>, every value in the <em>domain</em> (the set of all the first numbers in the pair) is associated with one value in the <em>range</em> (the set of all second numbers in the pair). This is easiest to see visually. Our domain is the set {2, 3, 4, 5} and our range is the set {4, 6, 8, 10}, and we can visualize the ordered pair (2, 4) as an "arrow" starting a 2 in the domain and ending at 4 in the range. When seen this way, a relation is a function if <em>every value in the domain only has one arrow coming out of it</em>. We can see from the attached picture that the ordered pairs in the problem are a function, so this statement is true.
