Answer:

Step-by-step explanation:
Let be "s" the length in meters of the short piece and "l" the lenght in meters of the long piece.
Set up a system of equations:

Apply the Substitution Method to solve the system. Substitute the second equation into the first equation and solve for "l":

Susbstitute the value of "l" into the second equation in order to find the value of "s". This is:

Answer:
The number of students that bring their lunches is 12
Step-by-step explanation:
Let
x -----> the number of students that bring their lunches
y -----> the total number of students in a class
we know that
The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8
-----> equation A
-----> equation B
substitute the value of y in equation A and solve for x
therefore
The number of students that bring their lunches is 12
The line that maps a figure onto itself is a line of symmetry of the figure.
From the given trapezoid, the line of symmetry of the trapezoid is x = -2.
Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.
Answer:
<h2>
x = 15</h2>
Step-by-step explanation:
RQ < PR < PQ
TV < UV < UT
ΔPQR~ΔUTV ⇒ 
