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

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 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.

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1 answer
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Answer 1

Bot GPT 4-o mini answered
2 months ago

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.**