Step-by-step explanation:
you can write it as
the sum of of thirty six(36) and four(4) is divided by Ten(10)
The total number of handshakes was 234.
- The first man shook hands with 12 other men.
- The second man shakes hands with 11 other men, as he had already shaken hands with the first man.
- Like-wise, the last man does not need to shake hands again as every man has already shaken hands with him in their respective turns.
- The number of handshakes among men is 0 + 1 + 2 + … + 12.
- The sum of "n" natural numbers = (n)(n+1)/2
- The number of handshakes among men is 12(13)/2.
- The number of handshakes among men is 78.
- Each man shakes hands with every woman except his spouse.
- Each man shakes hands with 12 other women.
- The number of handshakes between men and women is 13*12.
- The number of handshakes between men and women is 156.
- The total number of handshakes is 78 + 156.
- The total number of handshakes is 234.
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Answer:
110 - 2x
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 50 + 5x - 40 + 110 - 2x = 180, that is
4x + 120 = 180 ( subtract 120 from both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
x + 50 = 15 + 50 = 65°
5x - 40 = 5(15) - 40 = 75 - 40 = 35°
110 - 2x = 110 - 2(15) = 110 - 30 = 80°
The largest angle is (110 - 2x)° = 80°
