Question

Точка К принадлежит отрезку МЕ. Отрезок МК= 29 см, отрезок КЕ на 18 см больше отрезка МК. Найдите длину отрезка МЕ. Сравните длины отрезков МЕ и МК (сравнение запишите в виде неравенства).

Answer 1

Ответ:

ME = MK+KE

KE=29 + 18 = 47 см

ME = 47 + 29 = 76 см

Ответ: ME = 76 см

Answer 2

Problem Analysis

We are given that point K belongs to the line segment ME. The length of segment MK is 29 cm, and the length of segment KE is 18 cm more than the length of segment MK. We need to find the length of segment ME and compare the lengths of segments ME and MK using an inequality.

Solution

Let's denote the length of segment MK as x. According to the given information, the length of segment KE is 18 cm more than the length of segment MK, so the length of segment KE is x + 18 cm.

Since point K belongs to the line segment ME, we can express the length of segment ME as the sum of the lengths of segments MK and KE:

ME = MK + KE ME = x + (x + 18) ME = 2x + 18

To find the length of segment ME, we need to determine the value of x. We are given that the length of segment MK is 29 cm, so we can substitute this value into the equation:

ME = 2(29) + 18 ME = 58 + 18 ME = 76 cm

Therefore, the length of segment ME is 76 cm.

To compare the lengths of segments ME and MK, we can write the inequality:

ME > MK

Substituting the values we found:

76 > 29

So, the length of segment ME is greater than the length of segment MK.

Conclusion

The length of segment ME is 76 cm. The lengths of segments ME and MK can be compared using the inequality ME > MK, which is true.