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

  3/5

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

g

step-by-step explanation:

answer: i'm not going to give you the answer, but some hints to work it out.

step-by-step explanation: so, if there is a straight line that means that the line angle is 180°. so we subtract the 2 angle measures provided, (15 and 38) from 180. so the answer is 180 - (38 + 15). (you have to solve the equation)