Which statement is true about Angle C P B?

Lines C D and A B intersect at point P.
It is supplementary to Angle A P C.
It is complementary to Angle A P C.
It is congruent to Angle A P C.
It is linear to Angle A P D.

Sorry, I don't know how to add pictures yet...

It is congruent to Angle A P C

Step-by-step explanation:

Vertical angles are the angles opposite each other when two lines cross. They are always congruent.

In this problem we have that

> by vertical angles

see the attached figure to better understand the problem

therefore

It is congruent to Angle A P C

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."

the correct answer is x/3+10≥32

hope this !