A parallelogram has four angles that are the same measure. Is it a square?
2 answers:
You might be interested in
Answer:
|x - 34| = 2
Step-by-step explanation:
In order to find an absolute value equation that has the given solutions, let x represent the lenght for the given problem
So, the solutions are: x=32 and x=36
You have to calculate the midpoint of x=32 and x=36 because the absolute value from any of the given solutions to the midpoint is the same (the distance is the same)
The midpoint is:
The distance from x=36 and the midpoint 34 can be calculated as:
36-34=2, which is the same distance from x=32 to the midpoint
So, x differ from the midpoint by 2 units
In conclussion, the absolute value of the difference between x and the midpoint equals 2:
|x - 34| = 2
Therefore, you have to solve the equation and prove that x=32 and x=36 are the solutions
Solving the equation:
By definition of absolute value, the expression between the absolute value is set to ± the number on the other side of the equality
x-34=2 (I) and x-34= -2 (II)
The solution of (I) is:
x=2+34
Therefore x=36
The solution of (II) is:
x=-2+34
Therefore x=32