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
Solve each equation for y and then the slope is m and y-intercept is b as in:

So, if you do that, you'll get (remember, this is <em>after</em> solving for y):
1. m = -6, b = -2
2. m = 5, b = -1
3. m = -5/3, b = 5
4. m = 0, b = -1/4
5. m = -1, b = -3
6. m = 3, b = -4
7. m = 1/2, b = -5/2
8. m = 7/2, b = 1
Hope this helps.
<u>We know that:</u>
Slope of a line = change in y coordinate / change in x coordinate
<u>We are given:</u>
First point = (2,5)
Second point = (5, 14)
<u>Calculating the change in y coordinate:</u>
change in y (also represented by Δy) = second y - first y
Δy = 14 - 5
Δy = 9
<u>Calculating the change in x coordinate:</u>
Δx = second x - first x
Δx = 5 - 2
Δx = 3
<u>Slope of the line:</u>
Slope = (Δy) / (Δx)
Slope = 9 / 3 [replacing the values]
Slope = 3
Answer:
answer is c
Step-by-step explanation:
0=theta symbol
SOH CAH TOA
SOH= Sin0=Oppisite/hypotnuse
CAH= Cos0=Adjecent/Hypotnuse
TOA= Tan0=Oppisite/Adjecent