9514 1404 393
Answer:
x = 19
A = 30°
B = C = 75°
Step-by-step explanation:
In an isosceles triangle, the angles opposite the congruent sides have the same measures.
A = B
3x +18 = 7x -58
76 = 4x . . . . . . . . add 58-4x
19 = x . . . . . . . . . divide by 4
Then the equal angles measure ...
A = B = 3(19) +18 = 75
C = 2(19) -8 = 30
Angles A, B, C measure 75°, 75°, 30°, respectively.
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<em>Alternate solution</em>
The sum of angles in a triangle is 180°, so you could write ...
(3x +18) +(7x -58) +(2x -8) = 180
12x = 228 . . . . . add 48
x = 19 . . . . . divide by 12
I believe 9. I divided 200 books among 24 boxes and got 8.3333..., so that means there would be 8 full boxes plus 1 not full boxes which means that there are 9 boxes total.
- The number of girls is 24.
- The number of boys that study French is 24.
- The numbber of boys that study German is 12.
- The number of girls that study French is 16
- The number of girls that study German is 8.
<h3>How to fill the frequency tree?</h3>
The number of girls = total number of students - total number of boys
60 - 36 = 24
The number of boys that study French = 2/3 x 36 = 24
The numbber of boys that study German = 36 - 24 = 12
The number of girls that study French = 40 - 24 = 16
The number of girls that study German = 24 - 16 = 8
Please find attached the frequency tree. To learn more about addition, please check: brainly.com/question/349488
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