Question

applying segment relationships

assume lines which appear to be tangent are tangent.
find \\(x\\). write your answer as a decimal.
\\(x = \\)

Explanation:

Set up the Tangent-Secant Segment Theorem equation

$$ \text{Tangent}^2 = \text{External Secant Segment} \times \text{Entire Secant Segment} $$

$$ 13^2 = 4 \times (4 + 19.4 + x) $$

Solve for x

$$ 169 = 4 \times (23.4 + x) $$

$$ 42.25 = 23.4 + x $$

$$ x = 18.85 $$

Answer:

Assume lines which appear to be tangent are tangent.

Find \(x\). Write your answer as a decimal.

\(x =\) <blank>18.85</blank>