Answer:
MOP=33
Step-by-step explanation:
MOP + MON = NOP
Substitute what we know
MOP = 3x-3
MON = 4x+9
NOP = 90 right angle
3x-3+4x+9 = 90
Combine like terms
7x+6 =90
Subtract 6 from each side
7x+6-6=90-6
7x = 84
Divide each side by 7
7x/7 = 84/7
x =12
We need to find MOP
MOP = 3x-3
=3(12)-3
36-3
33
Sure. That looks like if we rotated it one fifth of a circle it would be the same, similar to a pentagon.
360/5=72
Answer: 72 degrees, C
She has 1/6 of her money left, which is $21.
2/3=4/6, so 4/6 + 1/6=5/6, which means she has 1/6 left. Divide $126 by 6 and you get $21.
Answer:
Step-by-step explanation:
Let me know if you want the full explanation. Have a great weekend! ❤
Answer:
1
Step-by-step explanation:
You want to know the value of i^4.
<h3>Powers of i</h3>
The fourth power of i, √(-1), can be found the same way the value of any fourth power can be found: carry out the multiplication.
i^4 = i·i·i·i = -1·i·i = -i·i = -(-1) = 1
The fourth power of i is 1.
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<em>Additional comment</em>
As you can see from the evaluation process, ...
i¹ = i
i² = -1 . . . . . definition of i
i³ = -i
i⁴ = 1
The sequence repeats for higher powers.
