In ΔKLM, the measure of ∠M=90°, LK = 5, KM = 3, and ML = 4. What ratio represents the cosine of ∠K?

Explanation:

M = 90 and the side opposite this is LK = 5 since "LK" doesn't have "M" anywhere in the letter sequence. The side LK is the hypotenuse. The hypotenuse is always the longest side and always opposite the right angle.

The reference angle is angle K. Opposite this angle is ML = 4. Note how ML has no mention of K. The adjacent side to angle K is KM = 3 as it's the only thing left and we have a mention of K now.

The cosine ratio is therefore...

cos(angle) = adjacent/hypotenuse

cos(K) = KM/LK

cos(K) = 3/5

i think it is everything has to equal 180 so, if i correct 4=c. 6=d. 8=a. 7=b. and the last question would be c. because they are parallel lines and they are congruent.

step-by-step explanation:

the reason everything has to equal to 180 is because that is how it works. i'm guessing that is its rule. 4 and 8 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 6 and 7 are congruent and parallel so, that would be 30+30 because they have the same number. it would equal 60. 60+60 is 180. so, now you have your answer