Question

3) What is the value of "x" in the segment below:Given: RT = 56

Answer 1

The length of the segment RT is the sum of the lengths of RS and ST:

RT = RS + ST

We have:

RT = 56

RS = 2x + 18

ST = 24

So, using those expressions, we find:

RT = RS + ST

56 = 2x + 18 + 24

56 = 2x + 42

Now, to solve this equation, we can apply a sequence of the same operations on both sides of the equation, until we isolate the variable x and find its value:

56 = 2x + 42

56 - 42 = 2x + 42 - 42

14 = 2x

14/2 = 2x/2

7 = x

x = 7

Therefore, x = 7.