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Point S is on line segment \overline{RT}

. Given ST=3x-8,ST=3x−8, RT=4x,RT=4x, and RS=4x-7,RS=4x−7, determine the numerical length of \overline{RT}.

RT

.

.

Respuesta :

Answer:

RT = 20

Step-by-step explanation:

Point S is on line segment

R------------S------------T

RS + ST = RT

Given

ST=3x-8

RT=4x

RS=4x-7,

Step 1

We find x

4x - 7 + 3x - 8 = 4x

4x + 3x -7 - 8 = 4x

7x - 15 = 4x

7x - 4x = 15

3x = 15

x = 15/3

x = 5

Step 2

We find RT

RT = 4x

x = 5

RT = 4 × 5

RT = 20

The numerical length of RT is 20

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