Answer/Step-by-step explanation:
Given:
AC = 6x - 12
BC = 4
CD = 3x - 2
Required:
Determine length of AB and CD.
SOLUTION:
AC - BC = AB
(6x - 12) - 4 = AB (Substitution)
6x - 12 - 4 = AB
6x - 16 = AB
Since AB ≅ CD, therefore,
AB = CD
6x - 16 = 3x - 2 (Substitution)
Combine like terms
6x - 3x = 16 - 2
3x = 14
Divide both sides by 3
x = 4.7
Find AB
6x - 16 = AB
Plug in the value of x
6(4.7) - 16 = AB
28.2 - 16 = AB
12.2 = AB
Find CD
CD = 3x - 2
Plug in the value of x
CD = 3(4.7) - 2
CD = 14.1 - 2
CD = 12.1