A: 35
Step-by-step explanation:
DG is the combined segments DO and OG. In other words:
![DG=DO+OG](/tpl/images/0897/9006/4e240.png)
We know that DG is 60. DO is (4x-3) and OG is (2x+21). So, substitute:
![60=(4x-3)+(2x+21)](/tpl/images/0897/9006/fdb80.png)
Solve for x. Combine like terms:
![60=6x+18](/tpl/images/0897/9006/56229.png)
Subtract 18 from both sides:
![42=6x](/tpl/images/0897/9006/77b67.png)
Divide both sides by 6. Hence, the value of x is:
![x=7](/tpl/images/0897/9006/51ad0.png)
GO is defined as (2x+21).
So, to find GO, we can now substitute 7 for x and evaluate. Therefore:
![GO=2(7)+21=14+21=35](/tpl/images/0897/9006/c03ed.png)
Hence, our answer is A.