Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22
Answer:
see explanation
Step-by-step explanation:
A recursive rule allows us to find the term in a sequence from the previous term.
From the given geometric sequence find r the common ratio
r = 
= 
= - 4
Hence recursive rule is
= - 4
( a₁ = 
)
Tom has 26 marbles. if you need to show your work it would be 13x2= 26 and 26+13=39
Answer:
a = 5
Step-by-step explanation:
If it's easier for you, you can replace n(a) with y and put a as x.
Now the equation is y = 7x + 4.
It asks you to put in 39 as y.
39 = 7x + 4.
To solve this, the goal is to isolate the variable on one side. The first step I see is to subtract the 4 from both sides.
35 = 7x
Now divide both sides by 7 and we're done!
5 = x
Answer:
image
Step-by-step explanation:
