To find the value of x, isolate the x first,
5x + 6 = 2x +15
Subtract 6 to both sides because whatever you do on one side you would always to on the other side.
5x = 2x + 9
Subtract 2x from both sides
3x = 9
Divide to isolate the x
x = 3 is your answer
Answer:
20%
Step-by-step explanation:
Answer:
No, is 0.675
Step-by-step explanation:
Answer:
The correct option is B.
Step-by-step explanation:
It is given that triangle A"B"C" is the image of triangle ABC after transformation.
From the given figure it is noticed that the point C lies on positive y-axis and point C" lies on negative x-axis.
It means the figure is rotated either counterclockwise 90° or clockwise 270°. The rotation rule is
![(x,y)\rightarrow (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28-y%2Cx%29)
The corresponding sides of image A"B"C" are smaller than the preimage ABC.
![k=\frac{A"B"}{AB}=\frac{3}{6}=\frac{1}{2}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7BA%22B%22%7D%7BAB%7D%3D%5Cfrac%7B3%7D%7B6%7D%3D%5Cfrac%7B1%7D%7B2%7D%3C0)
Since k<0, therefore the transformation shows the reduction. The dilation rule is
![(x,y)\rightarrow (-\frac{1}{2}y,\frac{1}{2}x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28-%5Cfrac%7B1%7D%7B2%7Dy%2C%5Cfrac%7B1%7D%7B2%7Dx%29)
![A(-3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(-3))\rightarrow (0,-1.5)](https://tex.z-dn.net/?f=A%28-3%2C0%29%5Crightarrow%20%28-%5Cfrac%7B1%7D%7B2%7D%280%29%2C%5Cfrac%7B1%7D%7B2%7D%28-3%29%29%5Crightarrow%20%280%2C-1.5%29)
![B(3,0)\rightarrow (-\frac{1}{2}(0),\frac{1}{2}(3))\rightarrow (0,1.5)](https://tex.z-dn.net/?f=B%283%2C0%29%5Crightarrow%20%28-%5Cfrac%7B1%7D%7B2%7D%280%29%2C%5Cfrac%7B1%7D%7B2%7D%283%29%29%5Crightarrow%20%280%2C1.5%29)
![C(0,5.2)\rightarrow (-\frac{1}{2}(5.2),\frac{1}{2}(0))\rightarrow (-2.6,0)](https://tex.z-dn.net/?f=C%280%2C5.2%29%5Crightarrow%20%28-%5Cfrac%7B1%7D%7B2%7D%285.2%29%2C%5Cfrac%7B1%7D%7B2%7D%280%29%29%5Crightarrow%20%28-2.6%2C0%29)
Option B is correct.