Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale.

{THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12. There is a line perpendicular to the tangent that goes downward and forms a right angle on the right side of it's line underneath the tangent. THe value of the perpendicular line is 7. At the point where the perpendicular line ends, a diagonal line going right is where the radius is which is x.

9.7
9.2
13.9
85

Thank You so much! I really appreciate your help! :)

13.9

To find the value of x, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the tangent and the perpendicular line form a right triangle. The tangent is one side of the triangle, with a length of 12. The perpendicular line is the other side of the triangle, with a length of 7. The radius of the circle is the hypotenuse of the triangle, which we want to find.

Let's label the hypotenuse (the radius) as x. Using the Pythagorean theorem, we have:
x^2 = 12^2 + 7^2
x^2 = 144 + 49
x^2 = 193

Now, to find the value of x, we need to take the square root of both sides of the equation:
x = √193

Rounding to the nearest tenth, we find x ≈ 13.9.

Therefore, the value of x is approximately 13.9. So the answer is 13.9.

To find the value of x, we can use the Pythagorean theorem.

In the right triangle formed by the tangent, the perpendicular line, and the radius, we have:

(radius)^2 = (perpendicular line)^2 + (tangent line)^2

x^2 = 7^2 + 12^2

x^2 = 49 + 144

x^2 = 193

Taking the square root of both sides:

x = √193

Now, let's round to the nearest tenth:

x ≈ 13.9

Therefore, the value of x is approximately 13.9.

So, the correct answer is 13.9.