The sum of the measures of the interior angles is 1,440 degrees. How many sides does the polygon have?
2 answers:
Answer:
10 sides.
Step-by-step explanation:
As we know sum of the measures of the interior angles of any polygon is represents by (x-2)180°
Therefore, total sum of interior angles = (x-2)×180°
where x is the number of sides of a particular polygon.
It is given that sum of interior angles = 1440°
1440 = (x-2) × 180°
= (x-2)
8 = (x-2)
x = ( 8+2) = 10
Therefore, polygon have 10 sides.
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Answer:
The flagpole is 40 feet tall.
Step-by-step explanation:
So, we are looking for the height of the flagpole. Let <em>h</em> represent this height.
Boy - 5 feet in height and casts a 20-foot shadow
Flag pole - <em>h</em> feet in height and casts a 160-foot shadow
The relationship looks something like this:
5 : 20 :: h : 160
or
Now, we can cross multiply to find h!
So, the flagpole is 40 feet tall
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