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!
Answer:
First the mode. Since 5 popped up the most, 5 is the mode.
Next is the median. I crossed 1 dot from each side until it shows the last dot, and 5 was the last one.
After that the range. 9-2=7
Finally the worst, the mean... 2+2+3+3+3+4+5+5+5+5+5+6+6+6+8+9+9+9+9
=104/19=5.47
SO, Mode=5 Median=5 Range=7, and the mean is 5.47 (rounded nearest hundred)
Answer:
- 7/30
Step-by-step explanation:
9/10 + g = 2/3
So subtract 9/10 from both sides of the equation to get g = -7/30
Thank me later :D
The nth term is given by 2ⁿ-1.
The series looks like, 1, 3, 7, 15, 31, 63, 127, ...