Answer: 9.9 inches
Step-by-step explanation:
First, we will decrease the length of the line segment by 10%. To do this, we will multiply the original length by 90% (100% - 10% = 90%).
10 * 90% = 10 * 0.9 = 9 inches
Next, we will increase this line segment again by 10%. To do this, we will multiply the new length by 110% (100% + 10% = 110%).
9 * 110% = 9 * 1.1 = 9.9 inches
The new length will be 9.9 inches. You may assume that, "Well, 10% - 10% = 0, so there will be no change", but since you are increasing based on the already decreased segment, it is not proportional resulting in a different line segment length.