Answer:
7.6
7.61
Step-by-step explanation:
7.608695652
<h2>They need 384 boxes </h2><h3>All you gotta do is divide </h3>
Part (A)
We have n = 5 sides, so the measure of any exterior angle of a regular pentagon is E = 360/n = 360/5 = 72
Each interior angle is therefore 180-E = 180-72 = 108 degrees.
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Alternatively, you could use the formula below with n = 5
i = interior angle
i = 180(n-2)/n
i = 180(5-2)/5
i = 180(3)/5
i = 540/5
i = 108
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<h3>Answer: 108 degrees</h3>
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Part (B)
We're told that CDF is 70 degrees. From part (A) we know that angle CDE is 108 degrees, so this must mean that angle EDF is 108-70 = 38 degrees.
Similarly, angle FEA is 85 degrees, which subtracts from angle AED to get 108 - 85 = 23 degrees. This is the measure of angle DEF.
So far we found
angle EDF = 38
angle DEF = 23
Let's call these x and y for shorthand. Let z be the missing third angle of triangle DFE.
So,
x+y+z = 180
38+23+z = 180
61+z = 180
x = 180-61
x = 119
Interior angle DFE is 119 degrees.
Note how 90 < x < 180 showing we have an obtuse angle. It is not a reflex angle because the statement 180 < x < 360 is false.
So we subtract the value of x from 360
360-x = 360-119 = 241
This is the reflex angle DFE
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<h3>Answer: 241 degrees</h3>
∠A, ∠B, ∠C - interior angles of a triangle.
∠A 1 , ∠B 1 , ∠C 1 - exterior angles of a triangle.
∠A + ∠B + ∠C = 180°
∠A + ∠A 1 = 180°
Therefore: ∠A 1 = ∠B + ∠C ( two remote interior angles )
Answer:
An exterior angle of a triangle is equal to the sum of the two remote interior angles.
Ok, sin = prep / hyp
so, perpendicular = 1 , and hypo = 4
so, base = sq. root ( 16-1 ) = root 15
and tan = prep / base = 1 / root (15)
