Answer correctly
option d is x=10 the picture was to big to include that option

The answer is x = 10.

Step-by-step explanation:

Use the pythagorean theorem.  A would be 6, B would be 8, and C would be solved by the product of that.

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus