Question

Which expression represents the measure of segment RS? 7x – 3 7x + 5 x + 5 x – 3

Answer 1

Good evening ,

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Answer:

x + 5

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Step-by-step explanation:

RS = RT- ST = (4x+1) - (3x-4) = 4x-3x+1-(-4) = (4x-3x) + (1+4) = x+5.

:)

Answer 2

Answer: Third option.

Step-by-step explanation:

You can observe in the image provided that:

$RT=RS+ST$

The measure of RT is represented with the following expression:

$RT=4x+1$

And ST is represented with this expression:

$ST=3x-4$

Then, the first step is to substitute each expression into $RT=RS+ST$:

$4x+1=RS+3x-4$

The second step is to solve for RS:

$4x+1=RS+3x-4\\\\4x+1-3x+4=RS\\\\RS=4x+1-3x+4$

And the final step is to add the like terms:

$RS=x+5$