Answer:
A. 2
Step-by-step explanation:
Given:
DC = 1
CE = x + 4
AB = 11
BE = x + 1
Required:
Value of x
Solution:
(DC + CE) × CE = (AB + BE) × BE
(1 + x + 4) × (x + 4) = (11 + x + 1) × (x + 1)
(x + 5) × (x + 4) = (x + 12) × (x + 1)
x² + 4x + 5x + 20 = x² + x + 12x + 12 (distributive property)
x² + 9x + 20 = x² + 13x + 12
Collect like terms
x² - x² + 9x - 13x = - 20 + 12
-4x = -8
Divide both sides by -4
x = -8/-4
x = 2
