Answer:
![\frac{1}{2} (8)(x+4)=3(x+6)\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%288%29%28x%2B4%29%3D3%28x%2B6%29%5C%5Cx%3D2)
Step-by-step explanation:
![\frac{1}{2} bh=bh\\\\\frac{1}{2}(8)(x+4)=3(x+6)\\4(x+4)=3x+18\\4x+16=3x+18\\4x=3x+2\\x=2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20bh%3Dbh%5C%5C%5C%5C%5Cfrac%7B1%7D%7B2%7D%288%29%28x%2B4%29%3D3%28x%2B6%29%5C%5C4%28x%2B4%29%3D3x%2B18%5C%5C4x%2B16%3D3x%2B18%5C%5C4x%3D3x%2B2%5C%5Cx%3D2)
1. set the equation for the area of each shape equal to each other
2. simplify each side until you get ![4x+16=3x+18](https://tex.z-dn.net/?f=4x%2B16%3D3x%2B18)
3. subtract 16 from both sides which will give you ![4x=3x+2](https://tex.z-dn.net/?f=4x%3D3x%2B2)
4. subtract 3x from both sides which will give you the value of x. ![x=2](https://tex.z-dn.net/?f=x%3D2)
5. check that
is correct by plugging it into the equations
triangle:
![area=\frac{1}{2} (8)(2+4)\\area=4(6)\\area=24](https://tex.z-dn.net/?f=area%3D%5Cfrac%7B1%7D%7B2%7D%20%288%29%282%2B4%29%5C%5Carea%3D4%286%29%5C%5Carea%3D24)
rectangle:
![area=3(2+6)\\area=3(8)\\area=24](https://tex.z-dn.net/?f=area%3D3%282%2B6%29%5C%5Carea%3D3%288%29%5C%5Carea%3D24)
the areas are the same
Answer:
87.5
Step-by-step explanation:
70/x=100/125
(70/x)*x=(100/125)*x - we multiply both sides of the equation by x
70=0.8*x - we divide both sides of the equation by (0.8) to get x
70/0.8=x
87.5=x
x=87.5
Step-by-step explanation:
answer=18^2/3
according to the congruent triangles are present there.
so divide corresponding sides
Ths is easier than it looks.
115 - - 15 = 115 + 15 = 130 degrees difference.