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One of the adjacent angles is two times larger than the other. Find these angles.
There are 5 spoons of tea in one glass and 5 spoons of milk in another. One spoon of milk was poured from the second glass into the first one, and then one spoon of tea with milk was poured from the first glass into the second. Which concentration is bigger: tea in milk or milk in tea?
Prove that the square of any prime number p > 3 when divided by 12 gives modulo 1.
There are 300 of ones in the decimal integer, all other numbers are zeros. Can this number be a perfect square?
Is it possible to put plus and minus signs instead of asterisks in the equation 1 ∗ 2 ∗ 3 ∗ … ∗ 10 = 0 to obtain a true equality?
The golden section is a line segment divided according to the golden ratio: The total length (y+z) is to the longer segment z as z is to the shorter segment y. What is the ratio of the shorter segment y to the longer segment z?
What is the expand form of 6,489,531,247?
Cycle's wheel radius is 45 cm. Find the number of it's turnings while riding from school to home if distance between is 1 km.
Can both the adjacent angles be (a) acute angles, (b) obtuse angles, (c) right angles?
Two straight lines, which intersect, are given. Can a third line, which is parallel to each of given lines, be drawn?
