Question

PLS HELPP i need this

Answer 1

`\therefore x =2`

Explanation:

`\triangle TPR \sim \triangle SQR... (given)`

`\therefore (TP)/(SQ) = (PR)/(QR)`

`\therefore (TP)/(SQ) = (PQ+QR)/(QR)`

`\therefore (3)/(x) = (1(1)/(3) +2 (2)/(3))/(2 (2)/(3))`

`\therefore (3)/(x) = ((4)/(3) + (8)/(3))/((8)/(3))`

`\therefore (3)/(x) = ((12)/(3))/((8)/(3))`

`\therefore (3)/(x) = (12)/(8)`

`\therefore x = (8* 3)/(12)`

`\therefore x = (24)/(12)`

`\therefore x =2`