In a right triangle the sum of its right angle and one of the acute ones is 102 °. how much does the other acute angle measure?

168 °

Step-by-step explanation:

When acute is 102 then the inner angle is 180°-102°=78°

For a right angle triangle, one side is 90° degrees and the sum of all angles is 180°

The other inner angle will be

180°-90°-78°=12°

The other acute will be 180-12=168 °

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."