Please help, using and i can’t figure out this question. Given : A STU with overline ST || XY Prove: (SX)/(XU) = (TY)/(YU)

The correct answer is;

ΔUXY ≅ Δ UST

Step-by-step explanation:

The given steps are;

1. ΔSTU with ,                                1. Given

2. ∠1 and ∠2 are corresponding angles,   2. Def of corresponding angles

3. ∠3 and ∠4 are corresponding angles,  3. Def of corresponding angles

4. ∠1 ≅ ∠2; ∠3 ≅ ∠4,                                   4. Corresponding angles theorem

5. ΔUXY ≅ΔUST,                                           5, AA similarity theorem

6. ,                                               6. Def of similar triangles  

7. SU = SX + XU,                                          7. Segment addition postulate

   TU = TY +  YU,        

8. ,                           8. Substitution property    

9.  ,                                   8. Algebra simplification        

By subtracting 1 from both sides of the equation, we get;

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."