Given:
Point F,G,H are midpoints of the sides of the triangle CDE.

To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get




GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get




Now, the perimeter of the triangle CDE is:



Therefore, the perimeter of the triangle CDE is 56 units.
Answer:
x=9
Step-by-step explanation:
Remove the radical by raising each side to the index of the radical.
(-4) is the same as x, so looking the conditions that are the results for the function, you realize:
-2 is the result of the function to the values of X that are under -3: the result will be -2 if x < -3
x < -3 ; x = -4 ; -4 < -3 (it's true), in other words, -4 is less than -3, so f(-4) = -2
Answer:
46.6
Step-by-step explanation:
Need approx 3 oz chemical to 1 gal water.
Conversion factor is then approx. 3 oz
---------
1 gal
Mult this result by 6 gal. This gives you 18 oz, approx.
Now let's look for a more exact solution:
2.75 oz 19 gal
---------- * ---------- = 17.4 oz. The 18 oz estimate was close.
1 gal 3