The slopes of two lines are 5 and 1/5 (1 over 5) . because of this, we can conclude that these two lines are which of the following? a) parallel b) perpendicular c) vertical d) none of these

A) Parallel lines have the same slope. 5 and 1/5 are not equal, so they are not parallel.

b) Perpendicular lines have negative reciprocal slopes. That means when you multiply the slopes together, you get -1. Let's try our slopes. 5 * 1/5 = 1, not -1, so these slopes are not negative reciprocals, and the lines are not perpendicular.

c) A vertical line has undefined slope since the slope of a vertical line involves division by zero. Here, the two lines have well defined slopes. The lines are not vertical.

d) This is the only choice left, so it is the answer.

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.

when multiplying or dividing by a negative on both sides you have to flip the inequality sign. this rule only applies to multiplying or dividing by a negative number in inequality equations. this rule is really important.

-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