PLS HELPP i need this

asked Oct 7, 2022 176k views

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Answer:

$\therefore x =2$

Explanation:

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

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

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

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

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

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

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

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

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

$\therefore x =2$

Nulltek answered Oct 12, 2022

6.3k points

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