Question

В четырёхугольнике MNPK стороны MN= y см 1) выразите остальные стороны этого четырёхугольника если:а) NP на 2 см меньше MNб) PK в 1,25 раза больше MNc) MK на 3 см больше PK2) зная что периметр MNPK равен 37 см и используют данные пункта 1, составьте уравнение3) решить уравнение получено в пункте 2 найдите длину MNПОМОГИТЕ ПОЖАЛУЙСТА ЗАВТРА СОЧ​

Answer 1

Пошаговое объяснение:

1) а) NP = y-2

б) PK = 1,25y

с) MK = 1,25y+3

2) P четырёхугольника = a+b+c+d

y + y-2 + 1,25y + 1,25y+3 = 37

3) y + y-2 + 1,25y + 1,25y+3 = 37

4,5y - 2 + 3 = 37

4,5y + 1 = 37

4,5y = 36

y = 8 см

Answer 2

Ответ:

MN=y см

1) NP=(y-2)см

PK=(1 1/4y)см

MK=(1 1/4y+3)см

2)Pmnpk=37см

y+(y-2)+1 1/4y+(1 1/4y+3)=37

3) 2y-2+5/4y+5/4y+3=37

18/4y+1=37

9/2y=36

y=36÷9/2

y=36×2/9

y=8

MN=8см

Пошаговое объяснение:

Answer 3

Given Information:

In the quadrilateral MNPK, the length of side MN is y cm.

1) Express the lengths of the other sides of this quadrilateral: a) NP is 2 cm less than MN. b) PK is 1.25 times greater than MN. c) MK is 3 cm greater than PK.

2) Knowing that the perimeter of MNPK is 37 cm and using the information from point 1, create an equation.

3) Solve the equation obtained in point 2 and find the length of MN.

Let's solve this step by step.

Step 1: Express the lengths of the other sides of the quadrilateral

a) NP is 2 cm less than MN. - NP = MN - 2 cm

b) PK is 1.25 times greater than MN. - PK = 1.25 * MN

c) MK is 3 cm greater than PK. - MK = PK + 3 cm

Step 2: Create an equation using the perimeter information

The perimeter of a quadrilateral is the sum of all its sides. In this case, the perimeter of MNPK is given as 37 cm. - Perimeter = MN + NP + PK + MK = 37 cm

Substituting the expressions from Step 1 into the equation: - MN + (MN - 2) + (1.25 * MN) + ((1.25 * MN) + 3) = 37 cm

Simplifying the equation: - 4.5 * MN = 36 cm

Step 3: Solve the equation to find the length of MN

To solve the equation, we need to isolate MN. Divide both sides of the equation by 4.5: - MN = 36 cm / 4.5

Simplifying: - MN = 8 cm

Therefore, the length of MN is 8 cm.

Please let me know if there is anything else I can help you with!