Answer:
Step-by-step explanation:
Sin A Cos B + Cos A Sin B = Sin (A +B)
Sin 10 cos 50 + Cos 10 Sin 50 = Sin (10 + 50) = Sin 60 = √3/2
We know opposite angles in the parallelogram is congruent:
let x to be the unknown angle:
360=2(110)+2x
360=220+2x
140=2x
x=70
ECF is also 110 because of parallel lines and corresponding angles:
110+x+y=180
110+30+y=180
y=40
so DAE is 40
SOLUTION:
Step 1:
The length of a rectangular garden is 8 feet longer than its width.
If the garden's perimeter is 184 feet.
What is the area of the garden in square feet?
Step 2:
L = length
W = width
L = W+8
P = perimeter
P = 2(L+W)
P =184 (given)
Substitute L=W+8 in the perimeter equation
2( (W+8) + W ) = 184
(W+8) +W = 92
2W + 8 = 92
2W = 84
W = 42 ft ( Width = 8 feet )
L = W+8
L = 42+8
L = 50 ft ( Length = 50 feet )
Always check your work.
In this case, check the perimeter.
2(L+W) = ?
2(50+42) = 184 feet.
CONCLUSION:
Then, the question says:
It asks for the area in square feet.
A = Area
A = L*W
A = 50 ft * 42 ft
A = 2100 sq ft.
.
22 x 13 is 286 and 11 x r is 11r leaving you with 286=11r and then you have to divide each side by 11 and you get r = 26
