Given:
In trapezoid is the mid-segment of
.
To find:
The length of .
Solution:
We know that the length of the mid-segment of a trapezoids is half of the sum of lengths of two parallel sides of the trapezoid.
In trapezoid ,
Isolate variable terms.
Now,
Therefore, the length of is 230.
Answer:
The area of the regular nonagon is 7921.8 square inches.
Step-by-step explanation:
Geometrically speaking, the area of a regular polygon is determined by following area formula:
(1)
Where:
- Area of the regular polygon, in square inches.
- Perimeter, in inches.
- Apothem, in inches.
If we know that and
, then the area of the regular nonagon is:
The area of the regular nonagon is 7921.8 square inches.
Answer:
Step-by-step explanation:
Let b be the number of balloons and h be number of party hats.
We have been given that balloons cost $0.50 each, so cost of b balloons will be 0.50b.
We are also told that party hats each cost $1.25, so cost of h party hats will be 1.25h.
Further, Joe wants to spend exactly $20 on the party supplies. We can represent this information in an equation as:
Therefore, the equation represents the number of balloons ( b) and the number of party hats ( h) that Joe can buy spending exactly $20.