Jon performs 3 transformations on a pentagon. first, he reflects it over the x-axis. then, he translates it 3 units to the left and 4 units up. finally, he reflects the image over the line x = 1. are the original and transformed images congruent? justify your answer.

yes; Reflections and translations are rigid motions. Rigid motions preserve the size of the original image.

3x + 18 = 147°

step-by-step explanation:

3x + 18 = 147°, because the value of the central angle is equal to the value of the arc formed by it.

i hope i you.

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0