Can someone explain triangle sum theorem?

Carlos has 2,175 marbles in his collection. Emily has 1833 marbles in her collection. Carlos says that he has about 1,000 more marbles than Emily. Is Carlos correct.

Simplify the polynomials. (12x2 + 3xy - x2 + y2)

Kip is using a recipe that calls for 1/4 cup of lemon juice. He has a 6-fluid-ounce of lemon juice. There is are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can kip make?

Seven-eighths of the distance from (-4, 5) to (-3, - 7)

Three consecutive integers have a sum of 87

Three of the angles of a quadrilateral are 148 degrees 104 degrees and 36 degrees what is the size of the 4th angle

Ava's car needs unexpected repairs. She needs money quickly, so she gets an easy-access loan. What is an advantage of using the easy-access loan? A. Ava will get the money she needs quickly. B. Ava will not owe money after the purchase. C.

A diver is - 50.25 meters below the surface of the water. He dives another - 10.5 meters below the surface of the water. What is the total meters the diver is below the surface of the water?

A bag contains purple marbles and yellow marbles, 86 in total. The number of purple marbles is 2 more than 5 times the number of yellow marbles. How many purple marbles are there?

What is the probability of drawing a face card that is a club on the first draw, replacing it and drawing a diamond card on the second draw? This question is based on a 52 card deck without jokers.