Answer:
work is shown and pictured
2+x=8-x
add x to each side to get all the x's on one side
2+x+x = 8-x+x
2 + 2x = 8
now subtract 2 from each side to get all the numbers on the other side
2 + 2x -2 = 8-2
2x = 6
divide by 2 on each side to get x alone
2x/2 = 6/2
x=3
Answer: x=3
Short leg = 18 Long leg= 24 Hypotenuse= 30
My calculations were simple trial and error. I started with a trial of 10 for the short leg to begin with, averaging and estimating the appropriate proportions based off 6 additional increments. Sorry I don't have an algebraic method for you. Hope this has helped somewhat :)
It's lines DH and FG are parallel
The equation could be used to calculate the sum of the geometric series is 
<h3>Sum of geometric sequence</h3>
Geometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:

where
- a is the first term
- n is the number of terms
- r is the common ratio
From the given sequence
a= 1/3
r = 2/9 * 3 = 2/3
Substitute into the formula

Hence the equation could be used to calculate the sum of the geometric series is 
Learn more on geometric series here; brainly.com/question/24643676