Question

3 fill in the blank 1 point . if rt = 36, find the value of x.
6x + 1
x + 7
r
s
t
x = type your answer...

Explanation:

Step1: Set up the equation

From the line segment, \( RT = RS + ST \). Given \( RS = 6x + 1 \), \( ST = x + 7 \), and \( RT = 36 \), we have the equation:
\( 6x + 1 + x + 7 = 36 \)

Step2: Combine like terms

Combine the \( x \)-terms and constant terms:
\( 7x + 8 = 36 \)

Step3: Solve for \( x \)

Subtract 8 from both sides:
\( 7x = 36 - 8 \)
\( 7x = 28 \)
Divide both sides by 7:
\( x = \frac{28}{7} \)
\( x = 4 \)

Answer:

4