Answer:
Area of ΔDEF is
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB =
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,

Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.

Thus the area of ΔDEF is
.
When you create the number line, put 0 in the middle. Basically you put all the numbers you got from least to greatest on the number.
Since -3/2 is less than 0, it will go to the left of 0.
Since 3/2 and 5/2 are greater than 0, it will go to the right of 0.
Remember to use sub points of 1.
Best of Luck!
Step-by-step explanation:


To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the
variable when we add the two equations together.
Right now, there's a
term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a
term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get
, which does not equal
, meaning there are no solutions to this system of equations.