Answer:
44.1
Step-by-step explanation:
180-102-28=50
Sin(28°)/27=.0173
Sin(50°)/.0173=44.056
Let sin be a
3a^2-17a+10=o
A =5 or 2/3
Sin =5rej
Sun=2/3 = 41.8 or138
Answer:
x = 12 degree
Step-by-step explanation:
3x + 19 + 5x = 115 degree (sum of two interior opposite angles are equal to the third side)
8x + 19 = 115
8x = 115 - 19
x = 96 /8
x = 12
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:
Given
no of Grade 6 students = 220
no of Grade 7 students = 40 more than grade 6 students
Step-by-step explanation:
boys Grade 7 students = no of Grade 6 students - 40 more than grade 6 students
boys Grade 7 students = 220 - 40
boys Grade 7 students = <u>180 grade 7 boy students are enrolled</u>
Therefore, 180 grade 7 boy students are enrolled.