Answer:
These two triangles are <em>similar triangles. </em>This means that their side lengths are proportional to each other.
Thus, making line segment EC equal to "x", and BC equal to "y" we can write:
8/y = 28/(10+y)
The next step is to get rid of the fractions, which can be done by cross multiplying.
So we have:
8(10+y) = 28(y)
After distribution and some simplification, you should get the value of y.
80+8y = 28y
80 = 20y
80/20 = 20y/20
4 = y
y = 4
Knowing that y = BC, and y = 4, it is clear that BC = 4.
Since BC = 4, one can use the Pythagorean Theorem to solve for segment EC.
Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the side lengths of a right triangle, and c is the hypotenuse (in other words the longest side)
In our case, a and b are 8 and 4 (the order doesn't really matter here).
So we have: 8^2 + 4^2 = c^2
64 + 16 = c^2
80 = c^2
c = sqrt 80
c = 4 sqrt 5
And we arrive at the answer- EC = 4 sqrt 5, making B the correct choice.
Hope this helps!
Answer:
2/6 lol
Step-by-step explanation:
hope this helps :3
Answer:
Option C. The open and closed circles are reversed and the graph shifts up.
Step-by-step explanation:
From the graph of the functions (Attached below) you can check that for the interval 0 ≤x<1 the floor function takes the value 0 everywhere, also it has closed brackets at 0 and open brackets at 1.
On the other hand for the interval 0<x≤1 the ceiling function takes the value 1, also it has open brackets at 0 and closed brackets at 1.
For that reason we conclude that the open and closed circles are reversed and the graph shifts up.
82,609,284 I believe that's what you meant if not so sorry
Answer:
1) 2
2) 66
3) 66
Step-by-step explanation:
1) f(g(t))
= f(93)
= 
= root of 4
= 2
2) 546-348 = 198
72 - 69 = 3
198/3
= 66
3) 2(x-33) = 66
2x - 66 = 66
2x = 132
x = 66
<em>Feel free to mark this as brainliest! :D</em>
