Answer:
The answer to your question is below
Explanation:
Data
1) AB = 6 BC = 4 AE = 9 ED = ?
Use proportions to solve this problem
AB / AE = 6/9 (AB + BC) / (AE + ED) = (6 + 4) / (9 + ED)
-Equal both proportions
6/9 = 10 / (9 + ED)
-Solve for ED
9 + ED = 10(9)/ 6
-Simplification
9 + ED = 90/6
9 + ED = 15
ED = 15 - 9
-Result
ED = 6
2.- AB = 12 AC = 16 ED = 5 AE = ?
Use proportions to solve this problem
AE / AB = AE / 12 AD/AC = (AE + 5) / 16
-Equal both proportions
AE/12 = (AE + 5 ) / 16
-Solve for AE
16AE = 12(AE + 5)
16AE = 12AE + 60
16AE -12AE = 60
4AE = 60
AE = 60/4
-Result
AE = 15