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Omni-MATH / Find PB given that AP is a tangent to Ω, ∠PAB=∠PCA, and (PB)/(PA)=(4)/(7)=(PA)/(PB+6).

Problem

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problem

Find PBPB given that APAP is a tangent to Ω\Omega, ∠PAB=∠PCA\angle PAB=\angle PCA, and PBPA=47=PAPB+6\frac{PB}{PA}=\frac{4}{7}=\frac{PA}{PB+6}.
Plain-text mathematical notation (without MathML)
Find PB given that AP is a tangent to Ω, ∠PAB=∠PCA, and (PB)/(PA)=(4)/(7)=(PA)/(PB+6).
Original LaTeX notation
Find $PB$ given that $AP$ is a tangent to $\Omega$, $\angle PAB=\angle PCA$, and $\frac{PB}{PA}=\frac{4}{7}=\frac{PA}{PB+6}$.

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Source and history

task_id
06571855-41c4-5010-8344-9b87c5365ae9
task_key
test--06571855-41c4-5010-8344-9b87c5365ae9
task_revision_id
1
config / split
/ test

Official source

initial import