Mathematics

Problem

\Delta PQR

, point U divides

PQ

so that

PU = x\,\text{cm}

and

UQ = 6\,\text{cm}

. Point V divides

PR

so that

PV = x+2\,\text{cm}

and

VR = 9\,\text{cm}

. If

UV \parallel QR

, determine the value of

x