Pls help me with this maths equation

Step-by-step explanation:

given :

y = 120 degree

z = 57 degree

angle x = ?

first lets find angle c in triangle BDC

angle C + 57 = 120

angle C = 120 -57

angle C = 63 degree

Now lets find angle B in triangle BDC

angle B + angle C + z = 180 degree (sum of interior angles of a triangle)

angle B + 63 + 57 = 180

angle B + 120 = 180

angle B = 180 - 120

angle B = 60 degree

now for angle x

angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)

60 + 57 = x

117 = x

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb