Question
Find the value of z which makes the shape a parallelogram, given AY YD and SY5z + 12 and Y N = 8x - 3 Round your answer to the nearest tenth, if necessary.
Answers
Answered by
GPT 3.5
To determine the value of z that makes the shape a parallelogram, we need to use the properties of parallelograms.
In a parallelogram, opposite sides are equal in length. Therefore, we can set the two pairs of opposite sides equal to each other:
AY + YD = SY + YN
5z + 12 + 8x - 3 = 5z + 12
8x - 3 = 0
8x = 3
x = 3/8
Therefore, the value of x that makes the shape a parallelogram is x = 3/8 or 0.375.
In a parallelogram, opposite sides are equal in length. Therefore, we can set the two pairs of opposite sides equal to each other:
AY + YD = SY + YN
5z + 12 + 8x - 3 = 5z + 12
8x - 3 = 0
8x = 3
x = 3/8
Therefore, the value of x that makes the shape a parallelogram is x = 3/8 or 0.375.
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