Answer:
D) 54 cm
Step-by-step explanation:
We can use the Centroid Theorem to solve this problem, which states that the centroid of a triangle is
of the distance from each of the triangle's vertices to the midpoint of the opposite side.
Therefore,
is
of the distance from
to
, since the latter is the midpoint of the side opposite to
. We know this because
belongs to
, so
must be
's midpoint due to the fact that by definition, the centroid of a triangle is the intersection of a triangle's three medians (segments which connect a vertex of a triangle to the midpoint of the side opposite to it).
We can then write the following equation:

Substituting
into the equation gives us:

Solving for
, we get:

(Multiply both sides of the equation by
to get rid of
's coefficient)
(Simplify)
(Symmetric Property of Equality)
Therefore, the answer is D. Hope this helps!
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❖ Mean = 4.8 Median = 4.5
The mean is the average. To find the mean add up all the numbers and divide by the number of numbers:
3 + 3 + 4 + 5 + 5 + 9 = 29
29 ÷ 6 = 4.8
To find the mean, keep crossing out numbers until you are left with one number (for an odd amount of numbers). When you have an even amount of numbers, keep crossing out until you are left with 2 numbers. Add those 2 numbers and then divide:
4 + 5 = 9
9 ÷ 2 = 4.5
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I think maybe 3) would make the most sense because she wants a random sample of students and the other options are specific on the type of students.
Assuming that he doesn't pay taxes on what he owes, then his remaining balance to pay is $819.48. I hope this helped.