Answer:
FG = 31
Step-by-step explanation:
By applying mid-segment theorem in the given trapezoid,
Segment joining midpoints of the nonparallel sides is parallel and measure the half of the sum of parallel sides.
FG = ![\frac{1}{2}[UV+TW]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5BUV%2BTW%5D)
(7x - 4) = ![\frac{1}{2}[(6x-6)+38]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%286x-6%29%2B38%5D)
2(7x - 4) = 6x + 32
14x - 8 = 6x + 32
14x - 6x = 32 + 8
8x = 40
x = 5
Therefore, FG = (7x - 4)
= 7(5) - 4
= 31
Answer:

Step-by-step explanation:
Hope this helps!
Answer:
6^2 + 5^2 = d^2
Step-by-step explanation:
I hope this helps!!
Answer:
75%
Step-by-Step Explanation:
There are two ways to go about this.
1) We can simply put it as a fraction = 60/80.
Then since a fraction sign also means division, we divide 60 by 80 = 0.75
Then to change a decimal into a percentage, we multiply by 100% = 75%
So our answer is 75%
2) We can simply it after it is put into a fraction = 60/80 = 3/4
It should be common knowledge that 3/4 is 75% depending on what grade you are in.
But there you have it, whichever way you prefer, the answer is always 75%.