Answer:
-8.8
Step-by-step explanation:
We begin by simplifying the parenthesis through multiplication. Parenthesis is a structure which signals multiplication happening.
![4.3(v+2.5)=8.11+4v\\4.3v+10.75=8.11+4v](https://tex.z-dn.net/?f=4.3%28v%2B2.5%29%3D8.11%2B4v%5C%5C4.3v%2B10.75%3D8.11%2B4v)
We now begin combining like terms across the equal sign by performing the inverse or doing the opposite. Move first the 8.11 by subtracting it from both sides.
![4.3v+10.75-8.11=8.11-8.11+4v\\4.3v+2.64=4v](https://tex.z-dn.net/?f=4.3v%2B10.75-8.11%3D8.11-8.11%2B4v%5C%5C4.3v%2B2.64%3D4v)
Now, move 4.3v across by subtracting it from both sides.
![4.3v-4.3v+2.64=4v-4.3v](https://tex.z-dn.net/?f=4.3v-4.3v%2B2.64%3D4v-4.3v)
![2.64=-0.3v](https://tex.z-dn.net/?f=2.64%3D-0.3v)
Finally, we divide both sides by the coefficient of v.
![\frac{2.64}{-0.3} =\frac{-0.3v}{-0.3} \\-8.8=v](https://tex.z-dn.net/?f=%5Cfrac%7B2.64%7D%7B-0.3%7D%20%3D%5Cfrac%7B-0.3v%7D%7B-0.3%7D%20%5C%5C-8.8%3Dv)
Answer:
7) 13 in. Because the hypotenuse is the longest length than opposite and adjacent.
8) 12 in. Because it has 90° angle.
9) 12 in
10) 5 in
So we can call the width of the rectangle x.
So then the length would be 4x.
The perimeter would then be 10x.
Since the perimeter is 70, we can say 70 = 10x.
And then simplify that to 7 = x.
So the length of a rectangle would be 28 cm, and the width would be 7.
So to find the area, just multiply length by width.
28*7 = 196 square cm
So the rectangle's area is 196 square cm.
I hope I helped!