Respuesta :

SJ2006
Shaded area = 1 - Un-shaded area
S. area = 1 - (1/2 + 1/7)
S. area = 1 - (7+2) /14
S. area = 1 - 9/14
S. area = 5/14

So, your final answer is 5/14

Hope this helps!

Answer:

[tex]5/14[/tex]

Step-by-step explanation:

Let

x-----> the shaded area

we know that

[tex]x+\frac{1}{7}=\frac{1}{2}[/tex]

solve for x

Multiply by [tex]14[/tex] both sides

[tex]14x+2=7[/tex]

[tex]14x=7-2[/tex]

[tex]14x=5[/tex]

Divide by [tex]14[/tex] both sides

[tex]x=5/14[/tex] ----> fraction irreducible