Consider the numbers z = StartRoot 2 EndRoot (cos 45o + i sin 45o )and w = 2(cos 90o + i sin 90o). Fill in the blanks to complete the statements.

In rectangular form, z − w = 1 − i

In polar form z – w = StartRoot 2 EndRoot (cos
^o + i sin ___ ^o)

Given: hf || jk; hg ? jg prove: fhg ? kjg to prove that the triangles are congruent by asa, which statement and reason could be used as part of the proof? fgh ? kgj because vertical angles are congruent. jkg ? hfg because vertical angles are congruent. fhg ? jkg because right angles are congruent. hfg ? kjg because alternate interior angles are congruent.

Let f(x) = x+3 and g(x) = 1/x the graph of (fog)(x) is shown below what is the range of (fog)(x)?

This is my question~~ ( r ^ 4 - 2r ^ 3 - 23 r ^ 2 - 4r - 32)÷(r+4) ~~ i must use long division to solve it : / i was wondering if anyone world like to solve it. and if so, share step-by-step explanations! you! ❤