Question

пж, матеша, соч 6. В четырехугольнике MNPK сторона MN = у см. 1) Выразите остальные стороны этого четырехугольника, если: а) NP на 3 см меньше MN; b) РК в 2,5 раза больше MN; с) МК на 2 см больше РК.​

Answer 1

Ответ:

а) NP = (у-3) см

b) РК = 2,5у см

с) МК = (2,5у+2) см

Пошаговое объяснение:

По условию, MN = у см.

Тогда:

а) NP = (у-3) см - на 3 см меньше MN

b) РК = 2,5у см -  в 2,5 раза больше MN

с) МК = (2,5у+2) см - на 2 см больше РК

Answer 2

Ответ:

MN=y

NP= y-3

PK=2,5y

MK=2,5y+2

Answer 3

Problem Analysis

We are given a quadrilateral MNPK, where the length of side MN is u cm. We need to express the lengths of the other sides of the quadrilateral in terms of u, given the following conditions: a) NP is 3 cm shorter than MN. b) RK is 2.5 times longer than MN. c) MK is 2 cm longer than RK.

Solution

Let's solve each condition one by one:

a) NP is 3 cm shorter than MN. To express the length of NP, we can subtract 3 cm from the length of MN: NP = MN - 3 cm.

b) RK is 2.5 times longer than MN. To express the length of RK, we can multiply the length of MN by 2.5: RK = 2.5 * MN cm.

c) MK is 2 cm longer than RK. To express the length of MK, we can add 2 cm to the length of RK: MK = RK + 2 cm.

Now we have expressions for the lengths of all sides of the quadrilateral MNPK: MN = u cm, NP = MN - 3 cm, RK = 2.5 * MN cm, MK = RK + 2 cm.

Let's substitute the value of MN (u cm) into these expressions to get the final answers:

MN = u cm, NP = u - 3 cm, RK = 2.5 * u cm, MK = 2.5 * u + 2 cm.

Therefore, the lengths of the sides of the quadrilateral MNPK are: MN = u cm, NP = u - 3 cm, RK = 2.5 * u cm, MK = 2.5 * u + 2 cm.

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