The correct option is (A) DEF
Explanation:
For similarity, one triangle has to be at least the scaled version of another. In the triangles given above as you can see:
The length of DE ( in DEF) = 5.5
The length of AB (in ABC) = 11 which is 2*(The length of DE ( in DEF))
Likewise
The length of EF( in DEF) = 2.5
The length of BC(in ABC) = 5 which is 2*(The length of EF ( in DEF))
Same goes for the third side.
Hence the correct option is (A) DEF
4 32 is the answer hope this helps
Let's start by finding the equation of the line
We can note from the graph that the x and y intercepts are (4,0) and (0,4)
The slope m= -1
The equation is given by ![(y-y1)=m(x-x1) (y-0) = -1( x-4) y=-x+4 Now need to find the inequalitylets pick a point from the gray region (2,0) and plug in our equation[tex] [tex] 0=-2+4[\tex] [tex]0\leq 2[\tex]](https://tex.z-dn.net/?f=%20%28y-y1%29%3Dm%28x-x1%29%20%28y-0%29%20%3D%20-1%28%20x-4%29%20y%3D-x%2B4%20%3C%2Fp%3E%3Cp%3ENow%20need%20to%20find%20the%20inequality%3C%2Fp%3E%3Cp%3Elets%20pick%20a%20point%20from%20the%20gray%20region%20%282%2C0%29%20and%20plug%20in%20our%20equation%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5Btex%5D%20%5Btex%5D%200%3D-2%2B4%5B%5Ctex%5D%20%5Btex%5D0%5Cleq%202%5B%5Ctex%5D%20)
![[tex]y\leq -x+4[\tex]](https://tex.z-dn.net/?f=%20%5Btex%5Dy%5Cleq%20-x%2B4%5B%5Ctex%5D%20)
Hence the correct answer is option 4
7x - 11 = -19 + 3x
Let's first get the x isolated to one side, so subtract 3x from both sides:
4x - 11 = -19
Now add 11 to both sides:
4x = -8
Now to get x by itself, divide 4x by 4, and then divide the other side by 4, leaving:
x = -2
Check your work:
7(-2) - 11 = -19 + 3(-2)
-14 - 11 = -19 - 6
-25 = -25
Yep!
Answer:
2 square root of 20
3*5^1/2+5^1/2
4* 5^1/2
Step-by-step explanation: