If the only information given about an oblique triangle is the lengths of the three sides, which method should you use to solve for the angles? a. trigonometric functions with side length ratios b. law of cosines c. law of sines d. pythagorean theorem

B. Law of Cosines

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

If you are given a triangle with the lengths of all three sides in order to find the values of the angles you would need to use the Law of cosines. This is because the Law of Cosines formula uses all three lengths and 1 angle, therefore you can adjust the formula to calculate each angle.

Law of Sines uses one side length and one angle value to calculate the rest of the sides and angles.

The Pythagorean Theorem uses the length of 2 sides in a right triangle in order to solve for the missing side length.

While side length ratios would only be useful when comparing two triangles.

Therefore the answer is B. Law of Cosines

I hope this answered your question. If you have any more questions feel free to ask away at .

d. is the correct answer

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.