Recall that the centroid of a triangle (the point where the three medians intersect) divides each median into parts in the ratio 2:1, with the
centroid being twice as close to the midpoint of a side as it is to the
opposite vertex.
Thus, the ratio of segment EG to segment BG is 1 : 2
Therefore, given that segment EG = 27 in, then segment BG = 2(27) = 54 in. and segment BE = 27 + 54 = 81 in.
Answer:
c. 10
Step-by-step explanation:
Eliminate parentheses using the distributive property.
3(b+4) -2(2b+3) = -4 . . . . given
3b +12 -4b -6 = -4 . . . . . parentheses eliminated
-b +6 = -4 . . . . . . . . . . . . collect terms
-b = -10 . . . . . . . . . . . . . . subtract 6
b = 10 . . . . . . . . . . . . . . . . multiply by -1
_____
The rules of equality require that any operation you perform on one side of the equal sign must also be done on the other side. So when we say "subtract 6", we assume you know that means "subtract 6 from both sides of the equation", for example.
Let's represent h with the number of hours:
15h ≥ 200
h ≥ 200/15
h ≥ 40/3
h ≥ 13 1/3
He has to work at least 13 1/3 hours.
