Inicio
/
Matemáticas
/
Question Point S Is on Line Segment Overline (RT) Given ST=2x-10,RS=2x-5 and I RT=3x+1 Determine the Numerical Length of Overline (RT)

Problemas

Question Point S is on line segment overline (RT) Given ST=2x-10,RS=2x-5 and i RT=3x+1 determine the numerical length of overline (RT) Answer Attemptiout of a RT=square

Roztwór

Emilia professionell · Tutor durante 6 años
Weryfikacja ekspertów
4.6 (221 Votos)

Respuesta

The numerical length of RT is 49.

Explicación

## Step 1We are given that point S is on line segment RT. This implies that the sum of the lengths of RS and ST equals the length of RT. This can be represented by the equation:### ## Step 2We are given the expressions for RS, ST, and RT as , , and respectively. Substituting these expressions into the equation from Step 1, we get:### \((2x-5) + (2x-10) = 3x+1\)## Step 3Next, we simplify the equation by combining like terms on the left side of the equation. This gives us:### ## Step 4To solve for x, we subtract from both sides of the equation, which gives us:### ## Step 5Finally, we substitute into the expression for RT, , to find the numerical length of RT. This gives us:###