Hey there!
The equation would be P-5 = 3S-15
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!
0.26 has the same meaning as 26/100. That can't be reduced very far, but it can be reduced.
0.26 = 26/100 Divide top and bottom by 2
13/50 That's as far down as we can go.
Note: any decimal with 2 digits can always be put over 100 and reduced if possible.
0.33 = 33 / 100
0.16 = 16 / 100 = 4/25 (Divide by 4) which is all you can do.
0.01 = 1 /100
Three digits would require 1000 in the denominator if the number is between -1 and 1
0.112 = 112/1000 = 56/500 = 28/250 = 14/125
In graphing it is called the Slope