Match each description when z = 9 + 3i.
1. real part of z a.3i
2. imaginary part of b. z9
3. complex conjugate of c. z9 - 3i
4. 3i - z d.-3i
5. z - 9 e.3
6. 9 - z f.-9

The matching is defined as 1-b, 2-e, 3-c, 4-f, 5-a, 6-d.

Step-by-step explanation:

The given complex number is

      ... (1)

If a complex number is defined as

     ... (2)

Where, a is real part of z and b is imaginary part of z. is the complex conjugate of z.

On comparing (1) and (2) we can say that

1. Real part of z is 9.

2.Imaginary part of z is 3.

3.Complex conjugate of z is 9 - 3i.

4.

5.

6.

Therefore the matching is defined as 1-b, 2-e, 3-c, 4-f, 5-a, 6-d.

i can you answer this question sweetie!

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.