Question

938*. На прямій позначено точки 0, А, В, С. Точка А лежить пра- воруч від точки О на стільки клітинок, на скільки точка В лежить ліворуч від точки C. Точка С знаходиться праворуч від точки О на 12 клітинок і ліворуч від точки А на 23 клітинки. Скільки кліти- нок містить відрізок АВ? Як розміщена точка О відносно точки: 1) А; 2) В? Зробіть малюнок до задачі. помогите пожалуйста​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Problem Analysis

We are given four points: O, A, B, and C. Point A is to the right of point O, point B is to the left of point C, and point C is 12 units to the right of point O and 23 units to the left of point A. We need to find the number of units in segment AB and determine the position of point O relative to points A and B.

Solution

To find the number of units in segment AB, we need to calculate the distance between points A and B. Since point A is to the right of point O and point B is to the left of point C, we can visualize the points as follows:

O ---- A ---- B ---- C

To find the number of units in segment AB, we need to calculate the distance between points A and B. We can do this by subtracting the distance between point A and point O from the distance between point B and point C.

Let's calculate the distance between point A and point O first. We know that point C is 12 units to the right of point O, and point A is 23 units to the left of point C. Therefore, the distance between point A and point O is the sum of the distances between point A and point C, and point C and point O.

Distance between A and O = Distance between A and C + Distance between C and O

Substituting the given values, we have:

Distance between A and O = 23 + 12 = 35 units

Now, let's calculate the distance between point B and point C. We know that point C is 23 units to the left of point A, and point B is to the left of point C. Therefore, the distance between point B and point C is the sum of the distances between point B and point A, and point A and point C.

Distance between B and C = Distance between B and A + Distance between A and C

Substituting the given values, we have:

Distance between B and C = 23 + 23 = 46 units

Finally, we can calculate the distance between point A and point B by subtracting the distance between point A and point O from the distance between point B and point C.

Distance between A and B = Distance between B and C - Distance between A and O

Substituting the calculated values, we have:

Distance between A and B = 46 - 35 = 11 units

Therefore, the number of units in segment AB is 11.

Position of Point O

To determine the position of point O relative to points A and B, we can observe the given information. Point A is to the right of point O, so point O is to the left of point A. Similarly, point B is to the left of point C, so point O is to the right of point B.

Therefore, the position of point O relative to points A and B is as follows: 1) Point O is to the left of point A. 2) Point O is to the right of point B.

Diagram

Here is a diagram illustrating the given information:

O ---- A ---- B ---- C

Point O is to the left of point A and to the right of point B.

I hope this helps! Let me know if you have any further questions.