Question

Find the value of x.

Answer 1

x = 4

Explanation:

ΔABC ≈ ΔDBE

set up a proportion of corresponding sides:

BD / BE = BA / BC

BA = 10 - x + x = 10

10-x / 3 = 10 / 5

cross-multiply:

5(10 - x) = 3(10)

50 - 5x = 30

-5x = -20

x = 4