What is the value of x?

x=75

Step-by-step explanation:

∆FSJ~∆DYJ

so the sides are proportional

SJ/YJ=FJ/DJ

(63+42)/42=(x+50)/50

105/42 ×50=x+50

125-50=x

x=75

X=75

Step-by-step explanation:

FD/DJ=SJ/YJ=FS/DY(BEING CORESSPONDING SIDE OF SIMILAR TRAINGLES)

TAKING FIRST AND SECOND RATIO

OR X/50=63/42

OR X*42=63*50

OR X=3150/42

OR X=75

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c