The standard form of the equation of a line:
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Answer: P = 0.28
Step-by-step explanation:
If we pick it at random, the probability of selecting each tile must be equal. this means that the probability of picking a tile of a giving color is equal to the number of the tiles of that color divided the total number of tiles.
We have 14 beige tiles and 20 + 14 + 16 = 50 tiles in total.
Then the probability of piking a beige tile is:
P = 14/50 = 0.28
Sit tight, this is gonna be long!! =P
Also, for this answer, I'm assuming that the 'expressway' mentioned in your question is the top horizontal line. (In fact, that must be the expressway, since there would be no other way to solve the problem)
Okay, let's get started.
For starters, GY = 16 ft. That much is given to us in the question. GY's equivalent is BX, which is 10 ft. When the angles are mirrored like they are across the 'expressway' in this problem, they do not change, so we only need to put the dimensions to scale. If we divide 10 / 16, we see that the scale-down factor is .625, or 62.5%. With this information, we can find the length of XW.
How, you ask?
Well, let me tell you.
Again, when the angles are mirrored like this, they do not change. We can see that the 90 degree angle also does not change. The length of YZ is 20 ft. To find WX, we simply need to multiply YZ by our scaling factor of 62.5%. Doing so will give us our answer of 12.5 ft.
The expressway is 12.5 feet from point W.
I hope that helped, and I _really_ hope I did that right! =P
Answer:
E) 35°, 70°.
Step-by-step explanation:
Given that the triangle has angles of a°, 2a° and 75°.
A triangle is a polygon shape that has three sides and three angles. The sum of angles in a triangle is 180°. There are different types of triangles such as scalene triangle, isosceles triangle, equilateral triangle e.t.c.
In the triangle:
a + 2a + 75 = 180° (sum of angles in a triangle)
3a + 75 = 180
adding -75 to both sides:
3a + 75 - 75 = 180 - 75
3a = 105
a = 105/3
a = 35°
Hence 2a = 2(35) = 70°
Therefore a = 35° and 2a = 70°
You just add up all of the sides to find the x
