The value of x is 37.8
Step-by-step explanation:
Given that,
The two triangles ΔBAC andΔDEC are similar.
step 1 :
Since two triangles are similar, their sides are proportional to each other.
AB / DE = AC / CE
step 2 :
Substitute AB= 15, DE= 31.5, AC= 18 and CE= x
15 / 31.5 = 18 / x
step 3 :
x = (18 [tex]\times[/tex] 31.5) / 15
x = 567 / 15
x = 37.8
