Problem 4
x = interior angle
y = exterior angle
x = 3y since "each interior angle...is three times the measure of each exterior angle"
The interior and exterior angles are supplementary, meaning,
x+y = 180
3y+y = 180
4y = 180
y = 180/4
y = 45
So we know that
n = 360/y
n = 360/45
n = 8
You are correct in saying that this is an octagon
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Problem 5
x = measure of missing angles
Find the sum of the interior angles
S = 180*(n-2)
S = 180*(5-2)
S = 540
The five interior angles add up to 540 degrees
Add up the five angles, set equal to 540, then solve for x
90+90+90+x+x = 540
2x+270 = 540
2x+270-270 = 540-270
2x = 270
2x/2 = 270/2
x = 135
So you have the correct answer of choice C) 135 degrees
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Problem 6
S = 180*(n-2)
S = 180*(6-2)
S = 180*4
S = 720
You have the correct answer. Nice work on all three correct answers.
Total number of students in the class = 36
Number of students wearing blue shirts = (1/6) * 36
= 36/6
= 6
Number of students wearing white shirts = (2/3) * 36
= 2 * 12
= 24
Then
Number of students not wearing blue or white shirts in the class = 36 - (6 + 24)
= 36 - 30
= 6
So 6 students in the class are wearing a shirt other than a blue or a white shirt. I hope the procedure is clear enough for you to understand.
Answer:
the answer is B
Step-by-step explanation:
area of the minor arc is teter all over 360 times 2 pie r square.
that is
= but because the question said for length AB, youvhave to use only one radius.
You the use 40 to cancel 160 and 360 to get 4 all over 9 times 2 pie times 9.
You then cancel 9 with 9 to get 4 times 2 times pie
this is equal to
All three sides of the triangle are the same so youcan set two of the equations equal to each other and solve for x:
4x-10 = 3x +2
Add 10 to each side:
4x = 3x + 12
Subtract 3x from each side:
x = 12
Answer:
36
Step-by-step explanation:
6x6=36
12x3=36
3+6=9
36x3=108
