Question

Точка M лежит на прямой АВ. Найдите длину отрезка АМ если АМ=2ВМ и АВ=6 см

Answer 1

AM=6+BM                                                                                                             AM=2BM                                                                                                                2BM=6+BM                                                                                                           BM=6                                                                                                                    AM=2BM=2*6=12cм
Ответ 12 см

Answer 2

Solution:

Given that point M lies on the line AB and AM = 2BM, and AB = 6 cm, we can find the length of segment AM.

Steps to Find the Length of Segment AM:

1. Let's denote the length of segment AM as x. 2. Since AM = 2BM, we can express BM in terms of x: BM = x/2. 3. The total length of AB is 6 cm, so we can express AM in terms of x: AM = x and AB = AM + BM. 4. Substituting the values of AM and BM, we get: 6 = x + x/2.

Calculating the Length of Segment AM:

5. Solving the equation 6 = x + x/2 for x: - Multiply the entire equation by 2 to get rid of the fraction: 12 = 2x + x. - Combine like terms: 12 = 3x. - Divide by 3: x = 4.

Answer:

The length of segment AM is 4 cm.