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A triangle has a perimeter of 165 cm the first is 65 cm less than twice the second side the third side is 10 cm less than the second side How do you find the length of each side?
The solution is:First side 55 cm, second side 60 cm, third side 50 cm (55+60+50=165)Solve as Algebraic SumThe equations can be created because you are given two sides as functions of the second side, which we can call the variable x:x = second sidefirst side = 2x - 65third side = x - 10sum of three sides = 165x + (2x-65) + (x-10) = 1654x - 75 = 1654x = 240x = 60 is the second side2x - 65 = 55 is the first sidex - 10 = 50 is the third side
Is 65 percent greater than 13 out of 20?
They are equal
Find the measure of the complement of 25 degrees?
The complement to 25 degrees would be 65 because 25 + 65 = 90. Complementary angles are always equal to 90 degrees, no more, no less.
Mike is five years more than twice as old as Tom The sum of their ages is sixty five How old is Mike?
Mike=M Tom=T M=5+2T T+M=65 M=65-T 65-T=5+2T 65=5+3T 60=3T 20=T (Tom is 20 years old) T+M=65 20+M=65 M=45 (Mike is 45 years old)
The sum of the digits of n is 11 and 50 is less than n but n is less than 100 When n is divided by 2 the result is a prime integer What is the value of n?
Since 50 < n < 100, n is a 2-digit number. Since the sum of the digits is 11, n could be 56, 65, 74, 83, or 92, but since n is divided (evenly) by 2 and the quotient is a prime integer, then n must be 74 (74÷2 = 37).
