Solve this system of equation algebracally y+x=19-x2 x+y=80

The answer is  y = 80± and    x = ±

Step-by-step explanation:

   We need to solve this system of equations algebraically

   y + x = 19  - ..............................................(1)

   x+y = 80 ...............................................................................(2)

   Substituting equation (2) in equation  (1)

   80 = 19 -  

   -61 =

   x = ±

   Where i is the imaginary

  Then the value of y = 80±

   This is the solution to this system of equations

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

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