Answer:
x = 145.5
Step-by-step explanation:
<DCE = <ACB The two angles are equal because they are vertically opposite.
D and B are right angles.
By AA the two triangles are similar.
Therefore DE / DC = AB / BC Proportion which is a property of similar triangles.
DE = 32 Given
DC = 22 Given
CB = 100 Given
Therefore
32/22 = x/100 Cross multiply
32*100 = 22*x Multiply the left
3200 = 22x Divide by 22
3200/22 = x
x = 145.5
