Answer:
Length of x ⇒ ( About ) 11.5; Option C
Explanation:
~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~
1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.
2. By Pythagorean Theorem ⇒
6.2^2 + x^2 = 13.1^2,
38.44 + x^2 = 171.61,
x^2 = 133.17
Length of x ⇒ ( About ) 11.5