Answer:
See proof below
Step-by-step explanation:
Let . If w=-z, then r=0 and r is real. Suppose that w≠-z, that is, r≠0.
Remember this useful identity: if x is a complex number then where is the conjugate of x.
Now, using the properties of the conjugate (the conjugate of the sum(product) of two numbers is the sum(product) of the conjugates):
=
Thus . From this, . A complex number is real if and only if it is equal to its conjugate, therefore r is real.
Answer:
x = 19
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
3x + 7 + 5x + x + 2 = 180 add like terms
9x + 9 = 180 subtract 9 from both sides
9x = 171 divide both sides by 9
x = 19 replace x with 19 in expressions to find the angle measures
it would be $1.83 because your dividing right?