Properties of parallelograms. Its one question of an IXL assignment
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Answer:
Step-by-step explanation:
According to properties of a parallelogram,
Opposite sides of a parallelogram are equal and parallel so,
4y = y + 39 [Since opposite sides]
=> 4y - y = 39
=> 3y = 39
[tex] = > y = \frac{39}{3} [/tex]
=> y = 13 (Ans)
With the help of the diagram, we can find the value of y.
Solution :
We know that,
So,
As, opposite sides are equal so,
[tex]\qquad\sf{ \dashrightarrow{ 4y {} = y + 39}} [/tex]
Adding (-y) to both sides :
[tex]\qquad\sf{ \dashrightarrow{ 4y + ( - y) {} = y + ( - y) + 39}} [/tex]
[tex]\qquad\sf{ \dashrightarrow{ 3y {} = 39}} [/tex]
Dividing 3 from both sides :
[tex]\qquad\sf{ \dashrightarrow{ \dfrac{3y}{3} {} = \dfrac{39}{3} }} [/tex]
[tex]\qquad{\pmb{ \bf{ \dashrightarrow{ y {} = 13}} }}[/tex]
⠀
Therefore, y = 13 .