Answer:
1/2
Step-by-step explanation:
Cos 60 = ![\frac{adjacent}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D)
1/2 = ![\frac{XZ}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BXZ%7D%7B4%7D)
Multiplying both sides by 4
=> XZ = 2
Sin Y = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Sin Y = ![\frac{2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D)
Sin Y = 1/2
It would be D. Vertical angles are congruent therefore, b + 56 = 5b. you subtract b from each side which would leave you with 56 = 4b. You divide each side by 4 and you would get 14.
Step-by-step explanation:
Since, diagonal of a parallelogram bisects it in two triangles of same area.
Hence, area of parallelogram ABCD will be twice the area of triangle ABD.
![area \: of \: { \parallel}^{gm} \: ABCD \\ = 2 \times A(\triangle ABD) \\ = 2 \times 40 \\ = 80 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%5C%3A%20of%20%5C%3A%20%20%7B%20%5Cparallel%7D%5E%7Bgm%7D%20%20%5C%3A%20ABCD%20%20%5C%5C%20%3D%202%20%5Ctimes%20A%28%5Ctriangle%20ABD%29%20%20%5C%5C%20%20%3D%202%20%5Ctimes%2040%20%5C%5C%20%20%3D%2080%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
6x-4=2x+8
mnus 2x both sides
4x-4=8
add 4 to both sides
4x=12
divide 4 both sides
x=3
Answer:
x=6.1
Step-by-step explanation:
using sine
sin 34 = opposite/hypotenuse
sin 34=3.4/x
make x subject of the formula
x =3.4/sin 34
x =6.08019161
x≈6.1(to the nearest tenth)