Point M is marked on the segment AB. Find the length of the segment AB if the segment AM is 35 cm
| August 11, 2021 | education
Point M is marked on the segment AB. Find the length of the segment AB if the segment AM is 35 cm, and the segment MB is shorter than the segment AM by t cm.Simplify the resulting expression and find its value at m = 24.
1. If the length of the segment AM is 35 centimeters, and the segment MB is t centimeters shorter, then: MB = 35 – t.
2. The length of the segment AB consists of the sum of the lengths of the segments AM and MB, and it is equal to:
AB = 35 + (35 – t) = 35 + 35 – t = 70 – t.
3. With a value of t = 24 centimeters, the length of the segment AB is equal to:
AB = 70 – 24 = 46 centimeters.
Answer: with t = 24 centimeters, the length of the segment AB is 46 centimeters.
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