The correct answer is SAS.
It's given that BC is congruent to CD and AC is congruent to CE. And by Vertical Angles theorem, Angle BCA is congruent to DCE.
Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.
Add 1.5x to both sides, so as to make the coefficient of x positive:
27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6
Check: let x = -6. Is the given equation then true?
27 = 36 + 1.5(-6) => -9 = -9? Yes.
Check: let x > -6. Is <span>Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.
Thus, x is equal to or greater than -6.</span>
Let x represent the longest side. Then the perimeter is
.. x + (1/3)x +(x -11) = 73
.. (2 1/3)x = 84 . . . . . . . . . . collect terms, add 11
.. x = 84*(3/7) = 36
The sides are 36, 12, 25.
