Question

Circle E is shown below. In the diagram, AB=2x+1 and CD=13.

Solve for x.
x=

Answer 1

To find the value of \( x \) based on the information provided, we need to establish a relationship between the segments \( AB \) and \( CD \) in circle \( E \).

Since segment \( AB \) and segment \( CD \) are likely diameters or chords of the circle that are being compared, we can equate their lengths, assuming that both segments are equal in some context.

Given:
\( AB = 2x + 1 \)
\( CD = 13 \)

If we assume \( AB = CD \), we can set up the equation:

\[
2x + 1 = 13
\]

Next, we can solve for \( x \):

1. Subtract \( 1 \) from both sides:

\[
2x = 12
\]

2. Divide by \( 2 \):

\[
x = 6
\]

Thus, the value of \( x \) is:

\[
\boxed{6}
\]