Question

Please help .. would be appreciated

Answer 1

Answer:

x = 30

Step-by-step explanation:

$\triangle JLK\sim\triangle PQR$ (given)

$\therefore \frac{JL}{PQ}=\frac{LK}{QR}$

(corresponding sides of similar triangles)

$\therefore \frac{20}{x}=\frac{22}{33}$

$\therefore \frac{20}{x}=\frac{2}{3}$

$\therefore x=\frac{20\times 3}{2}$

$\therefore x=\frac{60}{2}$

$\therefore x=30$

Or using scale factor:

Scale factor = 33/22 = 3/2

x = 20*3/2

x = 10*3

x = 30