Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 
Given that:
Since O is the origin, then:
This means that:
So, we have:
Collect like terms
Hence, complex number Z3 is
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Answer:
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Step-by-step explanation:
The x coordinates didn't change so the line is vertical and vertical lines have undefined slope
Answer:
The angle for G is 121°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so in order to find the angle of G, first, you hav eto find the value of x :
x + (x - 5) + (3x + 25) = 180°
5x + 20° = 180°
5x = 160°
x = 32°
Next, you have to find the angle of G :
G = 3x + 25
G = 3(32) + 25
G = 96° + 25°
G = 121°
If Manfred hiked 2/7 of a 588 mile trail, then to find how many miles he has hiked all we need to do is multiply the total miles (588) by what fraction of the miles he has traveled (2/7):
588 * 2/7 = 1176 / 7 = 168
Therefore, Manfred hiked 168 miles.
