Respuesta :

Answer:

Value of x is 17 and y is 10

Step-by-step explanation:

We are given the following information in the question:

Parallelogram ABCD.

By the property of parallelogram, the opposite sides of a parallelogram are equal.

Thus, we can write:

AB = DC

AD = BC

[tex]AB = 4y-3\\BC = 42\\CD = 37\\AD = 3x-9[/tex]

Equating the sides, we get,

[tex]4y - 3 =37\\\Rightarrow 4y = 40\\\Rightarrow y =10\\3x-9 = 42\\\Rightarrow 3x = 51\\\Rightarrow x = 17[/tex]

Thus, value of x is 17 and y is 10

MrRoyal

Parallelograms have equal and parallel opposite sides.

The values of x and y are 17 and 10, respectively.

From the diagram, we have:

[tex]\mathbf{AB = DC}[/tex]

[tex]\mathbf{AD = BC}[/tex]

[tex]\mathbf{AB = DC}[/tex] implies that:

[tex]\mathbf{4y - 3 = 37}[/tex]

Add 3 to both sides

[tex]\mathbf{4y = 40}[/tex]

Divide both sides by 4

[tex]\mathbf{y = 10}[/tex]

[tex]\mathbf{AD = BC}[/tex] implies that:

[tex]\mathbf{3x - 9 = 42}[/tex]

Add 9 to both sides

[tex]\mathbf{3x = 51}[/tex]

Divide both sides by 3

[tex]\mathbf{x = 17}[/tex]

Hence, the values of x and y are 17 and 10, respectively.

Read more about parallelograms at:

https://brainly.com/question/19187374

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