The length of AD is 75% of the length of AB and the length of CB is 60% of the length of AB.
| September 16, 2021 | education
The length of AD is 75% of the length of AB and the length of CB is 60% of the length of AB. What percentage is the length of the segment CD of the length of the segment AB?
AB – 100%
The segment AB is divided into three segments by points C and D.
AD – 75% of the length AB.
AD + DB = AB.
75% + x% = 100%.
x = 100 – 75 = 25% – segment DВ.
CB – DB = CD.
60 – 25 = 35% – CD segment.
You can use line segment CB to calculate the length of segment CD.
CB – 60% of the length AB.
AC + CB = AB.
x% + 60% = 100%.
x = 100 – 60.
AC = 40%.
AD = 75%.
CD = AD – AC.
CD = 75% – 40% = 35%.
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