Question

PLZ HELP Find the value of x that makes ΔXYZ~PQR

Answer 1

Answer:

x = 8

Step-by-step explanation:

$\triangle XYZ \sim\triangle PQR... (GIVEN) \\\therefore \frac{XY}{PQ} = \frac{YZ}{QR}.. (csst) \\\therefore \frac{20}{30}= \frac{x+6}{21}\\\therefore \frac{2}{3}= \frac{x+6}{21}\\\therefore \frac{2\times 21}{3}= {x+6}\\\therefore 14= {x+6}\\\therefore 14-6= {x}\\\therefore 8= {x}\\\huge \orange{\boxed {\therefore x = 8}}$