Use the image to answer the question.

Question

Points upper A upper C mark the ends of a line segment that slopes upward from left to right. Point upper B is at the midpoint. Identical single hash marks are between upper A and upper B and between upper B and upper C.

Nozomi constructed a copy of AB¯¯¯¯¯¯¯¯ by using point B as an endpoint of the copy of AB¯¯¯¯¯¯¯¯ and placing point C , as seen in the image. If the measure of AB¯¯¯¯¯¯¯¯ is 22.3 millimeters, what is the measure of AC¯¯¯¯¯¯¯¯ ?

(1 point)
Responses

The measure of AC¯¯¯¯¯¯¯¯ is 66.9 millimeters.
The measure of Modifying above upper A upper C with bar is 66.9 millimeters.

The measure of AC¯¯¯¯¯¯¯¯ is 44.6 millimeters.
The measure of Modifying above upper A upper C with bar is 44.6 millimeters.

The measure of AC¯¯¯¯¯¯¯¯ is 11.15 millimeters.
The measure of Modifying above upper A upper C with bar is 11.15 millimeters.

The measure of AC¯¯¯¯¯¯¯¯ is 22.3 millimeters.

Answer 1

To find the measure of \( \overline{AC} \), we can analyze the information given about the line segments.

1. The line segment \( \overline{AB} \) measures 22.3 millimeters.
2. Point \( B \) is the midpoint between points \( A \) and \( C \). This means that \( \overline{AB} \) and \( \overline{BC} \) are equal in length.

Since \( B \) is the midpoint, we have:

\[ \overline{AB} = \overline{BC} = 22.3 \text{ millimeters} \]

To find the total length of \( \overline{AC} \), we add the lengths of \( \overline{AB} \) and \( \overline{BC} \):

\[ \overline{AC} = \overline{AB} + \overline{BC} = 22.3 + 22.3 = 44.6 \text{ millimeters} \]

Thus, the measure of \( \overline{AC} \) is 44.6 millimeters.

So the correct response is:

The measure of \( \overline{AC} \) is 44.6 millimeters.