Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.



Now,




Therefore, the measure of side BE is 9 units.
Answer:
20 ; $135 ; service charge for 3 hours spent is $135
Step-by-step explanation:
Given that :
Service fee equation model :
C(h)= 75 + 20h
C = total cost of the service call
h = number of hours the plumber spends working on the problem
The charge per hour is the gradient or slope of the linear equation. From the equation, the slope is of the equation is related to bx from. The general form of a linear equation where b = gradient or slope(charge per hour) and x = number of hours
bx = 20h
b = 20
Charge per hour = 20
C(3) = 75 + 20(3)
75 + 60 = 135
This means that total service call charge for a plumber who spends three hours fixing a problem is $135
Answer:
[(a + b), c]
Step-by-step explanation:
Midpoint of a segment with extreme ends represented by ordered pairs
and
,
Midpoint = 
It is given that extreme ends of the segment QS are Q(2b, 2c) and S(2a, 0)
Coordinates of the midpoint of QS will be,
= 
= [(a + b), c]
Therefore, ordered pair representing the midpoint of QS will be [(a + b), c].
It is 8 times larger, 8x8=64 and 8x10=80 which is the current length and width of the finished structure