The sum of three consecutive is -120. What are the three integers?
1 answer:
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Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.
Answer:
Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla
Step-by-step explanation:
we know that
The area of a circle is equal to
where
r is the radius
step 1
Find the area of the 10 inch-round quesadilla
we have
substitute
step 2
Find the area of the 5 inch-round quesadilla
we have
substitute
step 3
Which is larger, half of the 10-inch quesadilla or the entire 5-inch quesadilla?
Compare
half of the 10-inch quesadilla is equal to ---->
the entire 5-inch quesadilla ---->
therefore
Half of the 10-inch quesadilla is greater than the entire 5-inch quesadilla