Given:
The volume of the triangular prism = 27 cubic units
To find the volume of the prism if each side is dilated by 
Formula
The volume of a triangular prism

where, a be the height of the triangle
c be the base of the triangle
h be the height of the prism
Let us take after dilation the we get,

and

So,
After dilation the volume will be

or, 
or,
[Since,
]
or, 
Hence,
After dilation the volume of the prism will be 3 cubic unit.
Answer:

Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
x -----> the amount of weight
y ----- the amount a spring will stretch
we know that
For x=80 lb, y=2.1 in
<em>Find the value of k (constant of proportionality)</em>

substitute the values

The linear equation is

How far will it stretch when 40 pounds is attached?
For x=40 lb
substitute the value of x in the linear equation and solve for y

Answer:
x = 113
Step-by-step explanation:
The corresponding angles in both triangles are congruent
Hence x = 113
The answer is going to be 0.5 hopes this helps.