Solve for X. Assume that segments that appear to be tangent are tangent Round to the nearest tenth as necessary.

Mathematics

1 answer:

DanielleElmas [232]2 years ago

4 0

9514 1404 393

Answer:

11.1

Step-by-step explanation:

The tangent makes a right angle with the diameter at the point of tangency. So, the triangle is a right triangle, and the Pythagorean theorem can be used to find the length of x. The radius is shown as 7.1, so the diameter will be 14.2.

x^2 + 14.2^2 = 18^2

x^2 = 122.36

x = √122.36 ≈ 11.1

The length of the tangent is about 11.1 units.

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