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!
30 divided by 12 will give you the percentage 40% , or c
Step-by-step explanation:
For every 3 squares across, the line goea down 1 square.
Hence the slope is -1/3.
Answer:

Step-by-step explanation:
Given: There are 2 classes of 25 students.
13 play basketball
11 play baseball.
4 play neither of sports.
Lets assume basketball as "a" and baseball as "b".
We know, probablity dependent formula; P(a∪b)= P(a)+P(b)-p(a∩b)
As given total number of student is 25
Now, subtituting the values in the formula.
⇒P(a∪b)= 
taking LCD as 25 to solve.
⇒P(a∪b)= 
∴ P(a∪b)= 
Hence, the probability that a student chosen randomly from the class plays both basketball and baseball is
.