Will award brainlist to whoever has all the correct calculations! using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. use "∧" to indicate exponents. for example, type a2 as a∧2. (hint: let s be a length of each side and x be the angle measure; then use these variables in the law of cosines.)

Law of cosine:

c² = a² +b² -2ab*cosC.

Because the triangle is equilateral a=b=c=x,

and we can write,

x²=x² +x² -2xx*cosC

x² =2x² -2x²* cos C

-x² = -2x²*cos C

cos C= 1/2,

so m∠C=60⁰.

Because all sides are equal, and across of the equal sides should be equal angles, all angles will be also equal and = 60⁰.

the number of the people going.

step-by-step explanation:

the cost to buy one movie ticket is $7. if the total cost for the movie is a function of how many people go, then the input is : the number of the people going.

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )