Answer:
Problem 1:
x = 7
AB = 10
BC = 6
Step-by-step explanation:
∡E = ∡D due to Alternate-Interior Angles
∡A = ∡C due to Alternate-Interior Angles
m∡B = m∡B
therefore, ΔABE ≈ ΔCBD
so AB = BC and we can use the following proportion to find 'x':
(x+3) / (2x-8) = 5/3
cross-multiply:
5(2x-8) = 3(x+3)
10x-40 = 3x+9
7x = 49
x = 7
AB = 7+3, or 10
BC = 2(7)-8, or 6
3 = x-8
11 = x
AB = 11+3, or 14
BC = 2(11)-8, or 14
