Answer:
Height of the building = 50.8 ft
Step-by-step explanation:
A person and a building are casting the shadows at the same time of the day.
Triangles formed by the person and his shadow and the building and its shadow will be similar.
Therefore, corresponding sides of the similar triangles will be proportional.
x =
x = 50.75
x ≈ 50.8 ft
Answer:
Third option: and
Step-by-step explanation:
Given:
For a modulus function, if , then,
Here, ,
∴
Therefore, the third option is the correct answer as the graph has values as -2 and 2
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!
