Answer:
i^32=1
i^25=i
i^86=-1
i^51=-i
Step-by-step explanation:
Follow the Rule of Four of I for this,
i^1=
I^2=-1
I^3=-i
I^4=1
Answer:18(3)
Step-by-step explanation:
17) AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) x = 7
21) 10.125° = ∠GEF
22) x = 14
23) x = 25
<h3>How to find congruent angles?</h3>
17) AC is congruent to CE.
DE = 7x - 1
BC = 9x - 2
CE = 10x + 18
DE + DE = CE
2DE = CE
2(7x - 1) = 10x+18
14x-2 = 10x+18
14x-10x = 18+2
4x = 20
x = 20/4
x = 5
Thus; AC = CE = 10x + 18
CD = 10x + 18 - 7x + 1
CD = 3x + 19
AB = 10x + 18 - (9x - 2)
AB = 10x + 18 - 9x + 2
AB = x + 18 + 2
AB = x + 20
Since x = 5
AB = 5 + 21
AB = 26
18) ∠1 and ∠2 are supplementary angles.
19) ∠1 and ∠2 are vertical angles.
20) ∠TUV = ∠TUW + ∠WUV
7x - 9 + 5x - 11 = 9x + 1
12x - 20 = 9x + 1
3x = 21
x = 21/3
x = 7
21) Let ∠DEG = x. Thus;
∠GEF = 5x - 13
Thus;
x + 5x - 13 = 149
6x = 162
x = 162/6
x = 10.125° = ∠GEF
22) 7x - 1 + 6x - 1 = 180
13x = 182
x = 14
23) 5x + 4 = 8x - 71
3x = 75
x = 25
Read more about Congruent Angles at; brainly.com/question/1675117
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Answer:
1/10
Step-by-step explanation:
To find the number of red guppies, multiply the fractions.
Gary has 2/5 of his fish collection as guppies. Of the guppies, 1.4 are red.
So 2/5 * 1/4 = 2/20 = 1/10.
7th grade has 3 boy out of 10 students
probability of picking a boy is 3/10
8th grade has 9 boys out of 12 students are boys
probability of picking a boy is 9/12 reduced to 3/4
3/10 x 3/4 = 9/40 probability of picking 2 boys
