Answer:
a) 16.7
b) 13.5
Explanation:
AC and DE are parallel, so ∠CAB and ∠EDB are corresponding angles, and ∠ACB and ∠DEB are corresponding angles.
Therefore, ΔABC and ΔDBE are similar triangles. We can use this to write a proportion.
a)
(25 + x) / (18 + 12) = x / 12
12 (25 + x) = x (18 + 12)
300 + 12x = 30x
300 = 18x
x = 16.7
b)
x / (7 + 2) = 3 / 2
x = 13.5