Line + reason - practice problems
Number of problems found: 54
- Identical 20963
In which triangles is the line identical with the height? - Probability 59073
A group of n people, including Jano and Fero, randomly line up. What probability will there be exactly r people (r - Determined 16233
How many lines are determined by 5 points if three lie in one line? - Lines
How many points will intersect 14 different lines where no two are parallel? - Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line? - Determined 3570
There are 12 points in space, with no three lying on a straight line. How many different planes are determined by these points? - Hexagon
Divide a regular hexagon into lines into nine completely identical parts; none of them must be in a mirror image (you can only rotate individual parts arbitrarily). - Distribution 4907
A continuous random variable X is specified: distribution function, specify the parameters a; b so that the function F (x) is continuous and was the distribution function of the random variable X and express f(x). P (X - Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC? - Points in plane
The plane is given 12 points, 5 of which are located on a straight line. How many different lines could be drawn from these points? - Intersect 5216
At how many points do ten lines intersect if no two are parallel? - Construction 55311
Construct a KLM triangle where side k is 6.7 cm, the line to the k side is 4.1 cm, and the LKM angle is 63 degrees. Write the construction procedure. - Construct 10921
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Pizza master
Master says that he can split pizza into 16 parts by five equals straight cuts. Is it possible? - Obtuse angle
Line OH is the height of the triangle DOM, and line MN is the bisector of angle DMO. the Obtuse angle between the lines MN and OH is four times larger than the angle DMN. What size is the angle DMO? (see attached image) - Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line? - Divide an isosceles triangle
How to divide an isosceles triangle into two parts with equal areas perpendicular to the axis of symmetry (into a trapezoid and a triangle)? - Three parallels
The vertices of an equilateral triangle lie on three different parallel lines. The middle line is 5 m and 3 m distant from the end lines. Calculate the height of this triangle. - Right triangles
How many right triangles we can construct from line segments 3,4,5,6,8,10,12,13,15,17 cm long? (Do not forget the triangle inequality). - Describe 6648
Images of three numbers are marked on the number line: 0, m, 3m-1. The marked pieces are the same length. a) express the ratio m:(3m-1) b) mark and describe the image of the number 1 on the number line.
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