Answer: x = 7 ft, DO = 25 ft, OG = 35 ft
Explanation:
We will write an equation using the segment addition postulate.
Given by segment addition postulate:
DO + OG = DG
Substitute known values:
(4x - 3) ft + (2x + 21) ft = 60 ft
Combine like terms and simplify:
6x + 18 ft = 60 ft
Subtract 18 ft from both sides of the equation:
6x = 42 ft
Divide both sides of the equation by 6:
x = 7 ft
Now, we will "plug" this value in and solve for the segments.
DO ➜ (4x - 3)ft ➜ (4(7) - 3) ft ➜ 28 - 3ft = 25 ft
OG ➜ (2x + 21) ➜ (2(7) + 21) ft ➜ 14 + 21 = 35 ft