Respuesta :

The length of line RS is 16

What is a line segment?L

A line segment can be defined as the part of a straight line bounded by two different end points, and also contains every point on the line that is between its endpoints.

We have that;

  • PR = 7x - 5
  • RS = 4(x + 1) = 4x + 4

But,

PR = RS

Substitute the formula

7x - 5 = 4x + 4

collect like terms

7x  - 4x = 4 + 5

3x = 9

x = 9/ 3

x = 3

RS = 4x + 4 = 4(3) + 4 = 12 + 4 = 16

Thus, the length of line RS is 16

Learn more about line segment here:

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