What is the measure of BPU? os
60
P
40
.
O A. 100
O B. 40
O C. 80°
O D. 60°

80°

Step-by-step explanation:

SPO+OPA+APC= 180°

(Angles on a straight line sum up to 180)

60+OPA+40=180

OPA=180-100

=80°

So, BPU is also 80°

(Vertically opposite angles are always equal)

80⁰

Step-by-step explanation:

SPU = CPR = 40⁰ ( vertically opposite)

BPU + 40 + 60 = 180⁰ (straight line angle)

BPU = 180 - 100

BPU = 80⁰

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.