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Nesterboy [21]
3 years ago
13

Ryan is 23 years old he’s 24 years younger than his father, how old is his father?

Mathematics
2 answers:
Natali [406]3 years ago
6 0

47 Because you just add 23+24 = 47 so to check your answer you do 47-24 that equals 23 so you have your answer which is 47

faltersainse [42]3 years ago
3 0
His father is 47 years old 23+24=47
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tatiyna

Answer:

27 degrees

Step-by-step explanation:

The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.

The longer, more drawn out answer goes as follows. See the image to understand the notation I use:

  1. AOE + BOD + BOA + DOE = 360
  2. AOE + BOD = 90 + 36 = 126
  3. BOA + DOE = 360 - AOE - BOD = 234
  4. Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
  5. Likewise, OBA = (180 - BOA) / 2
  6. Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
  7. Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
  8. The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
  9. Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
  10. Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
  11. As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
  12. Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27

Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.

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