Answer:
76°
Step-by-step explanation:
The opposite angles of a parallelogram are equal, so if one angle is 76°, then the opposite angle will be the same.
I hope this helps!
Answer:
1/3
Step-by-step explanation:
Answer:
EG = 41
Step-by-step explanation:
the 2 base angles are congruent then the triangle is isosceles with the 2 legs being congruent , that is
7x + 9 = 5x + 23 ( subtract 5x from both sides )
2x + 9 = 23 ( subtract 9 from both sides )
2x = 14 ( divide both sides by 2 )
x = 7
then
EG = 6x - 1 = 6(7) - 1 = 42 - 1 = 41
Equilateral Triangle - all sides equal and all angles equal
Isosceles Triangle - two sides equal andtwo angles equal
Scalene Triangle - no sides equal and no angles equal
so
1-6 a)
Isosceles Triangle - 1 Line of Symmetry
1-6b)
Equilateral Triangle- 3 Lines of Symmetry
1-6 c)
<span>A Parallelogram has 180 rotation symmetry, but no line of symmetry</span>
Let x and y be the sides of the rectangular corral. Therefore,
Area, A = x*y = xy
Additionally, let the side bordering the barn be x. Then,
Circumference, C = x+y+y = x+2y = 4000 ft => x = 4000 - 2y
Substituting for x in the area equation,
A = (4000-2y)y = 4000y - 2y^2
For maximum area, dA/dy = 0
Then,
dA/dy = 4000 - 4y = 0 => 4000 = 4y => y = 4000/4 = 1000 ft
And x = 4000 - 2y = 4000 - 2*1000 = 4000 - 2000 = 2000 ft
The dimensions of the corral are: 2000 ft by 1000 ft.
Area, A = xy = 2000*1000 = 2000,000 ft^2
