Answer:
A = 172.0 in²
Step-by-step explanation:
Exterior angle of any side is 360 / 5 = 72°
Interior angle between any two adjacent sides is 180 - 72 = 108°
A regular pentagon can be thought of as 5 isosceles triangles with two common angles of 108 / 2 = 54°
The height of each triangle is
h = (10/2)tan54
The area of each triangle is ½(10)h = ½(10)(10/2)tan54 = 25tan54
The area of the pentagon is
A = 5(25tan54) = 125tan54 = 172.04774005...
A = 172.0 in²
Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)².
Thus the sum will be x² + (x+44)²² = 8080
x² + x² + 88x + 1936= 8080 Combining the right terms
2x² + 8x - 6144 = 0 dividing by 2
x² + 44x - 3072 =0 solving for x
x = 37.6 or -81.6
Therefore, the positive number is 37.6
Answer: This quadrilateral is not a parallelogram because 1. opposite sides are not equal and 2. the right and left sides are not parallel.
Step-by-step explanation:
1. The top side is 4 units long and the bottom side is 8 units long. 4 8.
2. The side on the left has a slope of 5/13 while the side on the right has a slope of 5/9.
4x6+24=48so that uis yo answer yoStep-by-step explanation: