Answer:
2 + 3i, midpoint is (2,3)
Step-by-step explanation:
we need to find the midpoint between (-1+9i) and B=(5-3i)
To find the midpoint of two points (a+bi) and (c+di) in a complex plane,
we apply formula

A = (-1+9i) and B=(5-3i)
Midpoint for AB is


2 + 3i , so midpoint is (2,3)
Answer:
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Step-by-step explanation:
<u>Answer</u>
≈ 11.1803398874989485
<u>Detailed Explanation </u>
We will be using the distance formula for this problem

Now, let's input the numbers into the formula.

Solve.
Therefore, the distance between the two points is
≈ 11.1803398874989485
Answer:
Step-by-step explanation:
1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)
2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)
3) y║z (Given)
4) ∠1 ≅ ∠5 (alternate interior angles theorem)
5) ∠3 ≅ ∠6 (alternate interior angles theorem)
6) Since m∠1 + m∠2 + m∠3 = 180
m∠5 + m∠2 + m∠6 = 180
Hence proved.