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¯¯¯¯¯¯¯¯ ?

Question

(1 point)
Responses

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.
The measure of Modifying above upper A upper C with bar is 22.3 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 66.9 millimeters.

Answer 1

If point C is placed using point B as an endpoint of the copy of segment \( \overline{AB} \), then \( AC \) is equal to \( AB \) plus another \( AB \).

The measure of segment \( \overline{AB} \) is given as 22.3 millimeters. Therefore, the measure of segment \( \overline{AC} \) would be:

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

Thus, the correct response is:

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