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¯¯¯¯¯¯¯¯? which is the true correct answer solve it and tell me why

Question

(1 point)
Responses

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 22.3 millimeters.
The measure of Modifying above upper A upper C with bar is 22.3 millimeters.

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 11.15 millimeters.

Answer 1

Given that the length of segment \( \overline{AB} \) is 22.3 millimeters, we need to determine the measure of \( \overline{AC} \).

From the description, it seems that point \( C \) is created by constructing a copy of segment \( \overline{AB} \) starting at point \( B \). This means that \( C \) is actually located at a distance equal to \( \overline{AB} \) from point \( B \). Therefore, we can express the length of \( \overline{AC} \) as follows:

\[ \overline{AC} = \overline{AB} + \overline{BC} \]

Given that \( \overline{BC} \) is another copy of \( \overline{AB} \), we can replace \( \overline{BC} \) with \( \overline{AB} \):

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

Thus, the total length becomes:

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

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

Thus, the correct response is:

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