Answer:
x = 39
Explanation:
In the image, in order for DE to be parallel to CB, the scale factor between AE and EB should be the same as between AD and DC. To solve this, you first need to identify these lines:
AE = 12, EB = x - 3
AD = 6, DC = 18
Now, you need to find the scale factor by dividing 18 by 6:
18 ÷ 6 = 3
So the scale factor from AD to DC is 3. This means that the scale factor from AE (12) to EB should also be 3. You can find x by writing and solving an equation:
12 × 3 = x - 3 (given)
36 = x - 3 (simplify)
x = 39 (add 3 to both sides)
So x = 39.