Answer:
9
Step-by-step explanation:
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:
9 tables
Step-by-step explanation:
5 × 1.8 = 9
to find how many tables he made you have to multiply the number he made by 1, then .(whatever the percent is)
Answer:
Step-by-step explanation:
First, begin by multiplying 
by its reciprocal.
To do this, flip the fraction upside-down.
The resulting equation looks like this: 
Cancel out the two 27's and you are left with 
, which you can simplify to q.
Next, multiply -3 by 
. Remember, what you do on one side, you must do on the other.
Your equation should look like this:
The final answer is .
Have a nice day!
For all points that lie on the y-axis, the x-coordinate is zero.
