oliviafernandep0npt4
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TheBlueFox

Answer: 28

Step-by-step explanation: In this problem, we're given information about the parts of a segment and we're asked to find the value of x.

To find the value of x, we can use the segment addition postulate.

Looking at the diagram, it should make since that RS + ST = RT.

So 4x + 3x + 11 = 60 or 7x + 11 = 60.

Subtracting 11 from both sides and solving for x, we get x = 7.

Since RS is 4x, we can substitute a 7 in for x to get 4(7) or 28.

SalmonWorldTopper

Option (c) 28 is your correct answer.

Given:-

  • In a line given three coordinates point R, S and T.
  • Where, the distance RS = 4x , ST = 3x + 11 and the total distance RT = 60 (Given).

To find:-

  • The distance between RS = ?

➤ Solution:-

RS + ST = RT

substitute the value in equation

=> 4x + 3x + 11 = 60

=> 7x + 11 = 60

11 will move to RHS to sub from 60 to get 49.

=> 7x = 60 - 11

=> 7x = 49

=> x = 49÷7

∴ x = 7

Now, finding distance between RS by putting 7 in x value.

Distance between RS = 4x

= 4(7)

= 28

Therefore, the distance between RS is 28.

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