Well I don't know where inequalities would come in but the third length would be solved as follows.
a^2+b^2=c^2
10^2+18^2=424

Answer;

I hope this is correct, its what I would do if I had this equation.
Answer:
x = 4 root square 3
Step-by-step explanation:
sin60° = x/8
x = 8×sin60° = 4 root square 3
Not sure why they put the x bit
ok so know this:
AGE=HGB=CHG=FHD
and
AGH=EGB=CHF=GHD
and
AGE+AGH=180
11.
AGE=FHD=30
12.
AGH=CHF=150
13.
CHF=BGE=110
14.
CHG+HGA=180
CHG+120=180
CHG=60
15.
BHG=3x=AGE=CHG=FHD
not sure, but if we did use the fact that BGH+DHG=180 and BGH=3x and DHG=2x+50 then BHG=78 degrees
16.
GHD=2x+50=CHF=EGB=AGH, if we use facts above then GHD=102 degrees
Since:
ax(2x + y - 5) = 6x^2 +3xy - 15x,
we should factor X out of the second equation to find out the value of a:
6x^2 + 3xy - 15x =
x(6x + 3y - 15),
Now that we factored X out, to find a, we need to find the other common factor:
(6x + 3y - 15) / (2x + y - 5),
which is 3.
Hence the value of a is 3
Answer:
x = 2 or x = - 1/3
Step-by-step explanation:
3x² - 5x = 2
3x² - 5x - 2 = 0
(x - 2) (3x + 1) = 0
x = 2 or x = - 1/3