Answer:
![x=20](https://tex.z-dn.net/?f=x%3D20)
![y=10\,\sqrt{3}](https://tex.z-dn.net/?f=y%3D10%5C%2C%5Csqrt%7B3%7D)
Step-by-step explanation:
In the triangle we have the following trigonometric equations:
![tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}](https://tex.z-dn.net/?f=tan%2860%5Eo%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%20%5C%5C%5Csqrt%7B3%7D%20%3D%5Cfrac%7By%7D%7B10%7D%20%5C%5Cy%3D10%5C%2C%5Csqrt%7B3%7D)
and also:
![cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20](https://tex.z-dn.net/?f=cos%2860%5Eo%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%5C%5C%5Cfrac%7B1%7D%7B2%7D%20%3D%5Cfrac%7B10%7D%7Bx%7D%5C%5Cx%3D20)
Answer:
12.5
Step-by-step explanation:
Dividing 100/8, we find that there is a 12.5% chance of any colored marble being picked.
Good luck! Hope this helps!
Answer:
plz i need help
Step-by-step explanation:
Parallel sides mean that they are always the same distance from each other and will never touch. Knowing that, let's think of the shapes.
Rectangle: Yes, opposite sides are parallel. The two opposite sides of a rectangle will never touch.
Rhombus: Think of it as a diamond. You can still view it as a rectangle that has the top shifted over a bit. Therefore, yes, opposite sides are parallel because they will never touch.
Square: Is basically the same as the rectangle. Therefore, the answer is yes, opposite sides of squares are parallel.
Parallelogram: The definition of a parallelogram, like in its name, is a four-sided figure with opposite sides parallel. Therefore, yes, parallelograms have opposites sides that are parallel.
Therefore, the answer is all four of them.