S is between R and T. RS = 2x + 7, RT = 4x , and ST = 28. Find the length of segment RT

Given:

S is between R and T. RS = 2x + 7, RT = 4x , and ST = 28.

To find:

The length of segment RT.

Solution:

It is given that S is between R and T. So, by segment addition property, we get

On substituting the values, we get

Subtract 2x from both sides.

Divide both sides by 2.

Now,

Therefore, the length of segment RT is 70 units.

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step-by-step explanation: