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) which is the true correct answer a b c or d
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

To determine the measure of \(\overline{AC}\), we first note that \( \overline{AB} \) is given as 22.3 millimeters. Nozomi constructed a copy of \(\overline{AB}\), which means that \(\overline{AC}\) is actually twice the length of \(\overline{AB}\), since point \(B\) is the endpoint of the copy.

Therefore, the calculation for \( \overline{AC} \) is:

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

Based on the options provided, the correct response would be:

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