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Alecsey [184]
3 years ago
14

Somebody help me with this math, please! 15 Points for TWO thoughtful, well-explained, correct answers.

Mathematics
2 answers:
Sauron [17]3 years ago
6 0
In both parts, we have to apply "Proportionality Theorem" which tells, ratio of corresponding part should be equal.

1) CD/BD = FE/GE
8/24 = 6/GE

GE = 6*24 / 8
GE = 18 

2) BC/BD = EF/EG
14/BD = 5/15
BD = 42

Now, CD = BD - BC
CD = 42 - 14 = 24

Hope this helps!
Elodia [21]3 years ago
6 0
1. You would set up a proportion to solve. BD/CD=GE/FE substitute the variables with numbers 24/8=GE/6 then you cross multiply and get 144=8GE divide both sides by 8 and get 18=GE.

2. First you need to find BD. BD/BC=EG/EF substitute the variables with numbers. BD/14=15/5 cross multiply 5BD=210 divide both sides by 5 and get BD=42. 42-14=24. CD=24.
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