Question

Given $dc = 7$, $cb = 8$, $ab = \frac{1}{4}ad$, and $ed = \frac{4}{5}ad$, find $fc$. Express your answer as a decimal.

Answer 1

The answer is 11+EF I checked it

Answer 2

A ↔ B ↔ C ↔ D ↔ E ↔ F

`(1)/(4) AD` 8 7
`(4)/(5) AD` ???

AB + BC + CD = AD segment addition postulate

`(1)/(4) AD` + 8 + 7 = AD

`(1)/(4) AD` + 15 = AD

AD + 60 = 4AD

60 = 3AD

20 = AD

AB =
`(1)/(4) AD` =
`(1)/(4)(20)` = 5

DE =
`(4)/(5)AD` =
`(4)/(5)(5)` = 4

CD + DE + EF = CF segment addition postulate

7 + 4 + EF = CF

11 + EF = CF

Answer: 11 + EF

Note: You did not provide any info about EF. If you have additional information that you did not type in, calculate EF and add it to 11 to find the length of CF.