Answer: [tex]10\ miles[/tex]
Step-by-step explanation:
For this exercise let "x" represents the amount of miles that Renaldo biked On Monday around the lake.
You need to analize the information given in the exercise.
You know tha the perimeter of that lake is:
[tex]P=20\ miles[/tex]
Knowing that on Monday Renaldo biked [tex]\frac{1}{2}[/tex] of that perimeter, you can write the following equation:
[tex]x=\frac{1}{2}P[/tex]
Now you must subsitute the perimeter of the lake into the equation:
[tex]x=\frac{1}{2}(20\ miles)[/tex]
And finally, you must evaluate in order to find the value of "x".
You get that this is:
[tex]x=\frac{20\ miles}{2}\\\\x=10\ miles[/tex]