The interior angles of any triangle always sum to 180°.
In the triangle, angles C and D are labeled congruent, so the missing angle has measure
180° - 2 (6x - 5)°
This angle is supplementary to the one labeled (11x + 1)°, which means
180° = (11x + 1)° + (180° - 2 (6x - 5)°)
Solve for x :
180° = (11x + 1)° + 180° - 2 (6x - 5)°
0 = (11x + 1)° - 2 (6x - 5)°
0 = (11x)° + 1° - (12x)° + 10°
(12x - 11x)° = 1° + 10°
x° = 11°
x = 11
Diameter = 2r
6 = 2r r = 3 for the radius of the flowerbed
If we were to include the sidewalk around the bed, the diameter would stretch out another meter in both directions, meaning adding 2 meters to the diameter making the new diameter 6 + 2 = 8 and 8/2 = 4 so 4 = radius of the circle including the sidewalk. Find the area of the big circle and subtract the area of the smaller circle to find the area of the sidewalk.
Small circle = pi*3 squared.
Answer:
88 ft
Step-by-step explanation: Start with the formula for the area of a rectangle:
A = L*W, where L is the length and W is the width.
Here, the width is W = 24 ft, and the area i s 480 ft^2. Thus,
A = 480 ft^2 = L (24ft), which yields L = (480/24) ft = 20 ft.
The length of the fencing required is actually the perimeter of the yard, which is P = 2L + 2W.
Substituting 20 ft for L and 24 ft for W, we get:
P = perimeter of yard = amount of fending needed:
P = 2(20 ft) + 2(24 ft) = 88 ft
Ken would need 88 ft of fencing to enclose his entire yard.
Basically, the distance of roots to the axis of symmetry are the same to each other. Other root is -5.6. Hope this help.
