Find the measurement in this parallelogram. I need help please, thank you.
I need explanation

∠V = 102°

Step-by-step explanation:

So angle T and angle W are supplementary angles which means they sum up to 180°. With that said we can say that:

∠T + ∠W = 180

=> 78 + ∠W = 180

=> ∠W = 180 - 78

=> ∠W = 102

We know that in a parallelograms the base angles are congruent so we can say that: ∠W ≅ ∠V,

Therefore if ∠W = 102, then

∠V would also be 102°

Hope this helps!

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."

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.