Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

assume lines which appear to be tangent are tangent. find \\(x\\). writ…

Question

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

Explanation:

Set up the Tangent-Secant Theorem equation

$$ 13^2 = 19.4 \cdot (19.4 - x) $$

Solve for x

$$ LATEXBLOCK0 $$

Round to the nearest tenth

$$ x \approx 10.7 $$

Answer:

\(x = 10.7\)