Paint is red: blue in a ratio 2: 4. if 6 liters of blue is used. how much red

The red paint is used is 3 liters

Step-by-step explanation:

Ratio states that  how two numbers compare.

Ratio is a comparison of the size of one number to the size of another number.

i.e, a to b means a:b

Given the ratio of paint red(r) and paint blue(b)

i.e,  

by the definition of ratio:

r:b = 2:4

Let the number be x

then,

The quantity of red paint used be 2x and the quantity of blue paint used be 4x

It is given that the 6 liters of blue paint is used.

then;

4x =6

Divide both sides by 4 we get;

Simplify:

then the red paint used is 2x = liters

Therefore, the red paint is used is 3 liters.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

jml angle lkj & angle mj = lm