Answer:
Figure 1: ⇒ x = 6
Figure 2: ⇒ k = 15.33
Step-by-step explanation:
Figure 1:
∵ The ⊥ from the center of the circle to any chord bisects it
∴ 5x - 7 = 3x + 5 ⇒ collect like terms
∴ 5x - 3x = 5 + 7
∴ 2x = 12
∴ x = 12/2 = 6
Figure 2
∵ Two chords intersect each other out side circle
∴ 3(3 + k) = 5(5 + 6)
∴ 9 + 3k = 5 × 11
∴ 3k = 55 - 9 = 46
∴ k = 46/3 = 15.33
