Question

Segment AC has a length of 60. Find the following values.

Answer 1

DG = 60

Therefore,
`4x - 3 + 2x + 21 = 60`

→
`6x+18 = 60 \\ 6x = 60 - 18`

→
`6x = 42`

Divide both sides by 6

→
`x = 7`

DO =
`4x - 3`

→
`4(7) - 3 \\ 28 - 3`

DO
`= 25`

OG
`= 2x + 21`

→
`2(7) + 21 \\ 14 +21`

OG
`= 35`

Therefore:

`x = 7`

`DO = 25 ft`

`OG = 35 ft`

I hope this helps