A triangle has a perimeter of 165 cm. The first side is 65 cm less than twice the second side. The third side is 10 cm less than the second side. Find the length of each side of the triangle. What is the length of each side of the triangle?

55 cm, 60 cm, 50 cm

45 cm, 60 cm, 60 cm

65 cm, 55 cm, 45 cm

not enough information to solve

choice a

Step-by-step explanation:

Set up your variables. For this question lets use x, y, and z.

the equations will be . .

x + y + z = 165

x = 2y - 65

z = y -10

If we now substitude the equations for x and z with the first equation we cans solve for y. Hence the equation will be  . . .

2y - 65 + y + y -10 = 165

y = 60

then substitude the equations for x and z with y.

your answer should match choice a.

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a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: