Determine the value of the missing sides for the following triangle

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Step-by-step explanation:

For missing sides of a triangle we do the following.

Does it have a right Angle determine other angle measures, say if an external angle on a straight line showed 145 then its adjoing interior would be 180-145=35 degree.

Are the measure of the lengths congruent with a larger or smaller triangle shown.

If yes then if one triangle showed 4 and same triangle showed 6 and had ne missing, then the other had 8 and 10 and had one missing we would compare and if 8 was the same as 4 we would recognise the congruent triangle is x2 (scale factor 2) so measure 6 woyuld also be measure 12 for the other triangle. and then to find the smaller missing side we see 10 is left over and 10/2 = 5

Other ways to find length is through Pythagoras  we use the squares a^2 + b^2 = c^2 for missing slant

and c^2 - b^2 = a^2 for any missing side

so a represents any missing side for the second equation and c represents the missing side if it is a slant only.

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."

more detail

step-by-step explanation: