<span>The correct answer is 6.
The clearest way to determine this is by creating a table of possible hand shaking. If we label the people A-D, the following are the ways they can be combined:
AB
AC
AD
BC
BD
CD
There are no other combinations. </span>
We can solve this using substitution.
because x-y=2.5
x=y+2.5
Now substitute x into other equation.
2(y+2.5)^2-2y=125
2y^2+10y+12.5-2y=125
2y^2+8y-112.5=0
Now comes the ugly part
y=-4+-sqrt(16+900)
y=-4+-sqrt916
y=-4+-2sqrt229
x=-1.5+-2sqrt229
Answer:
A=8.75 in.
Step-by-step explanation:
Since ∆ HBA & ∆HKJ are similar,
HB/HA = HK/HJ
3/5.25 = 8/HJ
3HJ/5.25 = 8
3HJ = 42
HJ = 14 in.
AJ = 14 - 5.25
AJ = 8.75 in.
Therefore
A=8.75 in.
I hope this helped you.