Point B lies on LINE AC. Find the length of line AC if AB = 7.8 cm and BC = 25 mm. How many solutions are there in each case?
Answers
Answer:
23
Step-by-step explanation:
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Answer:
2 Solutions: 10.3 cm and 5.3 cm (or 103 mm and 53 mm)
Step-by-step explanation:
Why? Well first, what is a line? A line is a line. No, seriously. It stretches on forever, sort of like pi. It doesn't have any boundaries, unlike segments, which are anything on your desk, like a notebook. Segments start somewhere, and end somewhere.
1. Logic
Let's notice the 'mm' and the 'cm' signs. We can either change 25 mm to 2.5 cm, or 7.8 cm to 78 mm. I'll do cm.
So 25 mm becomes 2.5 cm, and 7.8 cm stays the same
25 mm=2.5 cm
2. First solution
If the order of the points (on a line) were A, B, C, the length of AC would be:
2.5 cm + 7.8 cm = 10.3 cm
3. Second solution
If the order of the points (on a line) were A, C, B, the length of AC would be:
7.8 cm - 2.5 cm = 5.3 cm
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