Which of these triangles can you use the law of cosines to solve for a missing side? A triangle has angle 75 degrees and 38 degrees. A side with length 8 is between the 2 angles. A side with length x is opposite to the angle with measure 75 degrees. A triangle has side lengths x, 8, and 12. The angle opposite to side x has a measure of 138 degrees. A right triangle is shown. The hypotenuse has length x and another side has length y. The angle opposite to side y is 35 degrees. A triangle with 3 angle measures of 60 degrees is shown. The side lengths are x.

d is correct

step-by-step explanation:

hope this is what you were asking for!

step-by-step explanation:

hello!

to begin with, we're given that on earth, a rock weighs 20 pounds, and while on jupiter, that same rock weighs 42 pounds. now, we're trying to find the weight of a rock that weighs 10.5 pounds on earth, on jupiter.

to solve this, first, set up a proportion, cross-multiply, and solve it algebraically.

setting up the proportion is the hardest and the most confusing part of the problem, but it's simple.

if on earth, the rock weighs 20 lbs, and on jupiter it weighs 42 lbs, our first part of our proportion is 20/42 lbs. the second part has to be equal to each other. this means that 10.5 has to be on the numerator of the fraction, and x, the value we're trying to find, has to be on the denominator. remember that the rock weighs 10.5 lbs on earth, and we're trying to find the weight of it on jupiter (which is x).

20/42 = 10.5/x

next, you would cross-multiply.

20x = 42(10.5)

20x = 441

now, solve it algebraically by using division.

x = 22.05 lbs

this can be rounded to 22.1 lbs.

therefore, the weight of the rock on jupiter is 22.1 lbs, the fourth choice.