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What is the perimeter of a regular polygon when each side is 4 cm and has 90 diagonals showing work?
Let the number of sides be x and use the diagonal formula:- If: 0.5*(x^2 -3x) = 90 then x^2 -3x = 90*2 If: x^2 -3x = 180 then x^2 -3x -180 = 0 Using the quadratic equation formula gives a positive value of 15 for x Therefore perimeter of the polygon: 15*4 = 60 cm
What is X if 2X squared plus 10 equals 100?
If 2x2 + 10 = 100 then: 2x2 = 100 -10 2x2 = 90 x2 = 90/2 x2 = 45 x = 6.708 (to 3 decimal places only)
What is -90 - 39x plus 3x squared factored?
3x2-39x-90 = (3x+6)(x-15) when factored
What is 6x plus 5 equals 95-3x?
6x + 5 = 95 - 3x The main goal is to get "x" by itself. So you can first subtract 5 from both sides because whatever you do on one side of the equation, you do to the other side. 6x = 90 - 3x Next add 3x on both sides. 9x = 90 Last divide by 9 on both sides. x = 10
When one half of the supplement of an angle is added to the complement of the angle the result is 120 degrees can you find the measure of the complement?
X = "the angle".Supplement of the angle = (180-x).Complement of the angle = (90-x).The statement says: . . . 1/2 (180-x) + (90-x) = 120Eliminate the first set of parentheses: . . . 90 - x/2 + (90-x) = 120Eliminate the second set of parentheses: . . . 90 - x/2 + 90 - x = 120Combine the 'x' terms on the left: . . . 90 + 90 - 3x/2 = 120Subtract 180 from each side: . . . -3x/2 = -60Multiply each side by -2: . . . 3x = 120Divide each side by 3: . . . x = 40
