Point S is on line segment \overline{RT}
RT
. Given ST=2x-10,ST=2x−10, RS=2x-5,RS=2x−5, and RT=3x+1,RT=3x+1, determine the numerical length of \overline{RT}.
RT
.

Question

Answered

Answer :

The given parameters are:

ST=2x-10

RT=3x+1

To calculate the length CD, we use the following equation

RT = 2 * ST

Substitute the known values in the above equation

3x + 1 = 2 (2x - 10)

This gives

3x + 1 = 4x - 10

Evaluate the like terms

x = 11

Substitute x = 11 in RT=3x+1

RT=3 * 11 + 1

This gives

RT = 34

Hence, the numerical length of ST is 34