Use the image to answer the question.

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 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.
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 11.15 millimeters.

Answer 1

Since point B is the midpoint of segment AC, this means that segment AB is equal in length to segment BC. Given that the length of segment AB is 22.3 millimeters, the length of segment BC must also be 22.3 millimeters.

To find the total length of segment AC, we add the lengths of segments AB and BC:

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

Therefore, the measure of \( AC \) is 44.6 millimeters.

The correct response is: The measure of AC¯¯¯¯¯¯¯¯ is 44.6 millimeters.