Question

S, D, and T are collinear, and S is between D and T, if DT=40, DS=3x-12, find x, DS, and ST

Answer 1

To find x, we equate DT and DS: 40 = 3x - 12. To find DS, we substitute x = 17.33 into the expression for DS: DS = 3(17.33) - 12. Finally, to find ST, we subtract DS from DT: ST = DT - DS.

Step-by-step explanation:

Given that S, D, and T are collinear with S between D and T, we have the following information:

1. DT = 40
2. DS = 3x - 12

To find x, we equate DT and DS:

40 = 3x - 12

Adding 12 to both sides, we get:

52 = 3x

Dividing both sides by 3, we get:

x = 17.33

To find DS, we substitute x = 17.33 into the expression for DS:

DS = 3x - 12

DS = 3(17.33) - 12

DS = 52 - 12

DS = 40

Finally, to find ST, we subtract DS from DT:

ST = DT - DS

ST = 40 - 40

ST = 0