What is the length of  BC?  Enter your answer in the box.___units2nd picture: What is the value of x? Enter your answer in the box.x = 3rd picture: What is the value of x? Enter your answer in the box.x =

Answer:In first picture,m∠C = m∠B⇒ AC = AB⇒ x + 9 = 2x - 8⇒ x - 2x = -8 - 9⇒ -x = -17⇒ x = 17Hence, the length of BC = x = 17 units,In second picture,m∠A = m∠B = m∠C⇒ Triangle ABC is an equilateral triangle,⇒ AB = BC = CA⇒ 4x - 10 = 5x - 22 = 3x + 2When, ⇒ 4x - 10 = 5x - 22⇒ 4x - 5x = -22 + 10⇒ -x = -12⇒ x = 12Hence, the value of x is 12.In third picture,LN = LM = NMThe triangle LMN is an equilateral triangle,⇒ m∠L = m∠M = m∠N = 60°⇒  m∠L= 60°⇒ 7x - 3 = 60⇒ 7x = 63⇒ x = 9Hence, the value of x is 9.