The value of x is about 4.7
Answer:
Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.
Answer: 33 gallons
Step-by-step explanation:
We initially have 130 gallons of a 
acid solution and we need to change it to a 
acid solution, and for that it is necessary to evaporate 
gallons of water.
So, this situation can be mathemtically expressed as follows:
Then:
Isolating :
Hence, we need to evaporate 33 gallons of water.
Answer:
Since length is three times, hence it is 6 inches.
let the width be x.
then, length= 3x
perimeter= 16 inches.
perimeter of a rectangle = 2( L+B)
2(3x+x)=16.
3x+x= 16÷2
4x= 8
x= 2
since length=3x
hence, 3×2= 6 inches
We have that
4x²<span> – 24x+27=0
</span>
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² – 24x)=-27
Factor the leading coefficient
4*(x² – 6x)=-27
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>4*(x² – 6x+9)=-27+
36--------> missing piecesRewrite as perfect squares
4*(x-3)²=9
(x-3)²=9/4----> square root both sides----> (+/-)(x-3)=3/2----> missing pieces
+(x-3)=3/2------> x=(3/2)+3-----> x=9/2
-(x-3)=3/2-----> x=3-(3/2)-----> x=3/2
