Two angles in a triangle add up to 98 degrees . What is the size of the third angle ?

1 answer:

8 0

First you must know that the sum of the interior angles of a triangle are 180. Once you know that, you just simply add 98+x=180 (you can use an variable as you see fit, doesn't need to be x). And then you simply solve for x by dividing 98 on both sides leaving you with 82.

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A team from the high school went on a science-and-math quiz show. The science questions were worth 10 points and the math questi

AlladinOne [14]

Answer: 4 science questions and 5 math questions

Step-by-step explanation:

To guess, you know that no matter how many 10 point questions you answer, the result will end in a zero. The number given is 85 so find a number you can multiply by 9 that ends in a 5. Answer: 9(5) = 45

The remaining points (40) are divisible by 10.

40 ÷ 10 = 4

Check: 5 (9-point questions) + 4 (10-point questions) = 9 total questions

45 points + 40 points = 85 points

Note that this problem can be solved mathematically by setting up a system of equations:

Points: 9x + 10y = 85

Quantity: x + y = 9

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