the lines intersect at point m
what is the value of x
(6x-82)
(3x+23)

The value of x is 35.

Step-by-step explanation:

The opposite angles are equal to each other. and the sum of two angles side by side equal 180.

6x-82=3x+23

Combine the like terms:

6x-3x=23+82

3x=105

Divide both terms by 3

3x/3 = 105/3

x= 35

Thus the value of x is 35

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."

step-by-step explanation: