Answer: Well if you were going to think of a circle you can divide it into 4 equal sizes in one of the is equal to two pentagons and a half. If you add all is equal to a loop full of pentagons [which makes 10 pentagons]. Because the ring is made out of regular pentagons, we can work out that each of the interior angles of each pentagon is 108* degrees. By extending the lines that two pentagons share, assuming they will all meet in the middle, it will create a triangle. As we know each angle of a [regular] pentagon is 108* degrees, we know the two base angles of the triangle would equal to 72** which leaves the top angle to be 36 degrees. As [the sum of] angles at a point is 360 degrees, and 36 is divisible by 360, it will make a complete ring. Also, as 360 ÷ 36 = 10, we know that the ring will be made out of 10 pentagons. as formula to calculate the the size of a interior angle of a polygon is (n×180−360)÷n (for n being the number of sides that the polygon has). because the triangle is made by extending the lines, and angles on a line is 180 degrees, 180−108 (an interior angle of a pentagon) =72.
After 20% reduction the price is $48 which means $48 is only 80% of the original price...so let x= original price
<span>48=.8x </span>
<span>60=x </span>
<span>it was $60
</span>
Answer:
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<h2>
Answer:</h2>
The equation that will be used to find t is:
<h2>
Step-by-step explanation:</h2>
Total distance that is traveled by Amir is: 5 miles.
and the total time taken by him is: 2 hours.
On the first part of the hike, Amir averaged 3 miles per hour.
Let t denote the time he spent hiking during the second i.e. difficult part of the hike.
- Hence, the time he spent in first part of hike is: 2-t
( Since, the total time was 2 hours)
Also, we know that:
Hence, distance traveled in first part of hike is:
- Now, the distance he will travel in second part of hike will be: 5-3(2-t)
Since the total distance traveled by him is 5 miles.
It is given that his speed decreased to 1.5 miles per hour.
Now, we know that:
Hence, time spent by him in second part of hike is:
It would be y+3. This is written as an algebraic expression.
