Respuesta :

Answer:

Question 1: x = 3, y = 2

Question 2: x = 0.5

Step-by-step explanation:

Question 1 explanation: In a parallelogram, both the horizontal and the vertical sides are equal, this means that [tex]2y + 3 = y + 5[/tex] ⇒ [tex]y = 2[/tex]. Since you've already figured out the value of y, you can input the value to side QR to help find x. [tex]4x-3=4*2+1[/tex] ⇒ [tex]4x-3=9[/tex] ⇒ [tex]4x=12[/tex] ⇒ [tex]x=3[/tex]. So x equals 3 and y equals 2.

Question 2 explanation: Since side AE is equivalent to side EC, that means quadrilateral ABCD is a parallelogram. In a parallelogram, the diagonal lengths from the corners of the shape to the center are equal, which means [tex]10x = 2x + 4[/tex] ⇒ [tex]8x=4[/tex] ⇒ [tex]x = 0.5[/tex].

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