Answer:
11) x = 11
12) x = 11
Step-by-step explanation:
11) Δ RQP and Δ RLK are similar.
Hence, the ratios of the corresponding sides of the two triangles will be constant.
So, [tex]\frac{RK}{PR} = \frac{RL}{QR}[/tex]
⇒ [tex]\frac{x - 4}{49} = \frac{11}{77}[/tex]
⇒ [tex]\frac{x - 4}{49} = \frac{1}{7}[/tex]
⇒ x - 4 = 7
⇒ x = 11 (Answer)
12) Δ QRS and Δ QDC are similar.
So, [tex]\frac{QD}{QR} = \frac{QC}{QS}[/tex]
⇒ [tex]\frac{2x - 14}{32} = \frac{6}{24}[/tex]
⇒ 2x - 14 = 8
⇒ 2x = 22
⇒ x = 11 (Answer)
