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.

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 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 11.15 millimeters.
The measure of  Modifying above upper A upper C with bar  is 11.15 millimeters.
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GPT-4o mini · Answer

To find the measure of $ \overline{AC} $, we need to understand how the points A, B, and C are related in terms of length. 1. Point B is the midpoint of segment $ \overline{AC} $. This means that $ AB = BC $. 2. Given that the measure of $ \overline{AB} $ is 22.3 millimeters, we can calculate $ AC $ by using the relationship: $$ AC = AB + BC = AB + AB = 2 \times AB $$ Given that $ AB = 22.3 $ mm: $$ AC = 2 \times 22.3 = 44.6 \text{ mm} $$ Therefore, the measure of $ \overline{AC} $ is **44.6 millimeters**. The correct response would be: **The measure of $ \overline{AC} $ is 44.6 millimeters.**