Question

for questions 8 and 9, use the picture on the right. 11. if ad = 12 and ac = 4y - 36, then find the value of y. then find ac and dc. 12. if ed = x + 4 and db = 3x - 8, find ed, db, and eb.

Explanation:

Step1: Assume D is midpoint of AC

AD = DC = 12

Step2: Calculate AC

AC = AD + DC = 12 + 12 = 24

Step3: Solve for y

4y - 36 = 24 → 4y = 60 → y = 15

Step4: Assume D is midpoint of EB

ED = DB → x + 4 = 3x - 8

Step5: Solve for x

2x = 12 → x = 6

Step6: Calculate ED, DB, EB

ED = 6 + 4 = 10; DB = 3*6 - 8 = 10; EB = 10 + 10 = 20

Answer:

y = 15, AC = 24, DC = 12
ED = 10, DB = 10, EB = 20