Question

На отрезке МN отметили точку К такую что длинна отрезка МК состовляет 3/4 длинны NK. Найдите отношение длин отрезка МК и М N

Answer 1

Т. к. МК это 3 части из четырех одинаковых частей NK, то МN = МК + NK = 3+4 =7 одинаковых частей 
МК / NK = 3 / 7

Answer 2

Problem Analysis

We are given a line segment MN and a point K on that segment. The length of MK is 3/4 of the length of NK. We need to find the ratio of the lengths of MK and MN.

Solution

Let's assume the length of MN is x. According to the given information, the length of MK is 3/4 of the length of NK. This can be written as:

MK = (3/4) * NK

Since MK + NK = MN, we can substitute the value of MK from the above equation to get:

(3/4) * NK + NK = MN

Simplifying the equation:

(7/4) * NK = MN

Now, we need to find the ratio of MK to MN. This can be calculated as:

MK / MN = (MK / (MK + NK))

Substituting the value of MK from the first equation:

MK / MN = ((3/4) * NK) / ((7/4) * NK)

Simplifying the equation:

MK / MN = 3/7

Therefore, the ratio of the lengths of MK and MN is 3/7.

Answer

The ratio of the lengths of MK and MN is 3/7.