QuestionPoints A, B, and C are on a line. Find the length $A C$ given $A B$ and $B C$ for two cases.

Studdy Solution
In a line, the distance between two points is the sum of the distances of the segments between them. Therefore, we can find the length of segment AC by adding the lengths of segments AB and BC.
$$AC = AB + BC$$Problem9Now, plug in the given values for the lengths of segments AB and BC to calculate the length of segment AC.
$$AC =16 +12$$4Calculate the length of segment AC.
$$AC =16 +12 =28$$For problem9, the length of segment AC is28.
Problem105Again, plug in the given values for the lengths of segments AB and BC to calculate the length of segment AC.
$$AC =13 +9$$6Calculate the length of segment AC.
$$AC =13 +9 =22$$For problem10, the length of segment AC is22.