Question

Point T is on line segment SU. Given ST=2x+6, TU=4, and SU=4x, determine the numerical length of ST.

Answer 1

The numerical length of ST is 16

How to determine the numerical length of ST?

The given parameters are:

ST = 2x + 6

TU = 4

SU = 4x

The above parameters can be represented as:

SU = ST + TU

This gives

4x = 2x + 6 + 4

Evaluate the like terms

2x = 10

Divide by 2

x= 5

Substitute x= 5 in ST = 2x + 6

ST = 2 * 5 + 6

Evaluate

ST = 16

Hence, the numerical length of ST is 16

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