Geometry math question no guessing and show work

Answer is A. -5/4

Perpendicular lines are the negative reciprocal of each other. A reciprocal is when the denominator and numerator is switched.

For example, y= 2x would be perpendicular to Y= - 1/2x

So in the situation the 5 and 4 are switched and then a negative sign would be added.

A.

You flip the fraction and the subtraction fromt the fraction and whole number makes it a negative. So negative 5/4

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice