Answer:
The value of x = 5
Explanation:
Given
ABCDE ~ FGHJK
It means the polygon is similar.
Similar polygons have the same shape but different sizes.
Thus, the given two polygons will have their corresponding sides are in proportion.
so
AB/AE = FG/FK
here
AB = 4, AE = x, FG = 8, FK = 10
so substituting AB = 4, AE = x, FG = 8, FK = 10
4/x = 8/10
8 × x = 4 × 10
8x = 40
divide both sides by 8
8x/8 = 40/8
x = 5
Therefore, the value of x = 5