Comparing yourself to a triangle with 3 possible occupation/career choices, could this be compared to "congruent" rather than "equal"? explain your

Yes

Step-by-step explanation:

If I am understanding the question correctly, then I would have to say it is compared to "congruent".

Congruent: two triangles are compared and have the same sides and angles

Equilateral: all 3 sides of the triangle are the same.

Basing my opinion on the definitions above. I believe this situation could be compared to "congruent" because as mentioned in the question we are comparing ourselves to a triangle that has 3 DIFFERENT career choices.

If this was compared to "Equal" there would be 1 career choice repeated 3 times.

I hope this answered your question. If you have any more questions feel free to ask away at

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.