triangle a″b″c″ is formed by a reflection over x = −3 and dilation by a scale factor of 3 from the origin. which equation shows the correct relationship between δabc and δa″b″c′?

The correct relationship  is,

Step-by-step explanation:

The correct relationship is,

Since, the ΔA''B''C'' is formed from ΔABC by a reflection over x = -3 and dilation by a scale factor of 3 from the origin ,so , the two triangles will be similar, or, ΔA''B''C''  ΔABC .

So, their corresponding sides will be in the same ratio, i. e. 3 : 1 .

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.