Answer: 39
Step-by-step explanation:
2x+17-17=95-17 so 2x=78 if you divide both sides by two you will find x=39
Knowing the interior angle sum formula is;
180x(n-2)
180x(n-2)=1260 (solve for n here)
180n-360=1260
180n=1260+360
180n=1620
n=1620/180
n=9
Therefore, this polygon has 9 sides.
Hope I helped :)
Answer:
see below
Step-by-step explanation:
a bearing is the angle in degrees measured clockwise from north.
Triangle ABC is a right triangle
Tan C = opp side / hyp
tan C = AB / CA
tan C = 30/30
tan C = 1
taking the inverse tan
tan ^ -1 tan C = tan ^ -1 ( 1)
C = 45 degrees
This is 90+45 degrees from North
135 degrees from north
Tan B = opp side / hyp
tan B = AD/BA
tan B = 45/30
tan B = 3/2
taking the inverse tan
tan ^ -1 tan B = tan ^ -1 ( 3/2)
D = 56.30993247
Add 180 degrees
180+56.30993247
236.3099325 from north
748 student tickets were sold.
Step-by-step explanation:
Given,
Number of tickets sold = 1360
Revenue generated = $13328
Cost of each student ticket = $8
Cost of each non student ticket = $12
Let,
x be the number of student tickets sold
y be the number of non student tickets sold
According to given statement;
x+y=1360 Eqn 1
8x+12y=13328 Eqn 2
Multiplying Eqn 1 by 12

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 4

748 student tickets were sold.
Keywords: linear equation, elimination method
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