A. 35
B. 85
C. 50
D. 25

B

Step-by-step explanation:

Use the exterior angle theorem, which states that the exterior angle of a triangle is equal to the sum of the two remote interior angles.

In this case: 120-x= 10+x+60

Simplifying it by combining like terms: 120-x=70+x

Solving by isolating the variable: 50= 2x, x=25

Now use what we know, which is that angle A is 35 degrees, and angle B is 60, to find out that the correct answer is B, 85 degrees.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: