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.
Answer: y=1/2x+4
Step-by-step explanation:
1. y-y1=m(x-x1)
2.y-5=1/2(x-2)
3. solve
4. y-5=1/2x-1
5. add 5 to both sides to isolate the variable
6. this gives you y=1/2x+4
X = width. the perimeter of a rectangle is 2*length + 2*width, so the perimeter of this rectangle is 2x + 2(5x) = 72. distribute the two to get 2x + 10x = 72. so 12x = 72. divide by twelve to get x = 6. the width is six, so the perimeter (5x) is 30. the area of a rectangle is length times width, 30*6, so the area is 180 m.
Answer:
i need a graph
Step-by-step explanation:
