If you can show two similar triangles, you can use the proportional relationship between the side lengths of the triangles with the definitions of slope and opposite reciprocals to show that the slopes of the two perpendicular lines are opposite reciprocals. Which pair of triangles can be proved similar to complete the proof?

step-by-step explanation:

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

answer: an 8-foot rope is tied from the top of a pole to a

stake in the ground, as shown in the diagram

below

step-by-step explanation: