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
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:###