Question

Help me !?! I don’t get it

Answer 1

11) x = 11

12) x = 11

Explanation:

11) Δ RQP and Δ RLK are similar.

Hence, the ratios of the corresponding sides of the two triangles will be constant.

So,
`(RK)/(PR) = (RL)/(QR)`

⇒
`(x - 4)/(49) = (11)/(77)`

⇒
`(x - 4)/(49) = (1)/(7)`

⇒ x - 4 = 7

⇒ x = 11 (Answer)

12) Δ QRS and Δ QDC are similar.

So,
`(QD)/(QR) = (QC)/(QS)`

⇒
`(2x - 14)/(32) = (6)/(24)`

⇒ 2x - 14 = 8

⇒ 2x = 22

⇒ x = 11 (Answer)