Question

Point S is on line segment RT, given ST=2x, RT=4x, and RS=4x - 4, determine the length of RS.

Answer 1

Answer:

The numerical length of RS is 22

Step-by-step explanation:

Given that

RS = 4× - 10

ST = 2× - 10

RT = 4× - 4

From the question above:

Point S lies on IRTI

So, RT = RS + ST

Substitute values for each in the above equation to solve for x

4× - 4 = 4× - 10 + 2× - 10 --- collect like terms

4× - 4 = 4× + 2× - 10 - 10

4× - 4 = 6× - 20 --- collect like terms

6× - 4× = 20 - 4

2× =. 16 --- divide through by 2

2×/2 = 16/2

x = 8

Since, RS = 4× - 10

RS = 4*8 - 10

RS = 32 - 10

RS = 22

Hence , the numerical length of RS is calculated as 22

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