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

To determine the measure of \( AC \), we first analyze the information given. We know that point \( B \) is the midpoint of line segment \( AC \), which means:

\[ AB = BC \]

If \( AB = 22.3 \) millimeters, then because \( BC \) is also equal to \( AB \), we have:

\[ BC = 22.3 \text{ millimeters} \]

To find the total length of \( AC \), we add \( AB \) and \( BC \):

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

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

So, the answer is: The measure of \( AC \) is 44.6 millimeters.