If AE=x and CE=5x–92, find CE in parallelogram ABCD.
Question
If AE=x and CE=5x–92, find CE in parallelogram ABCD.
Solution
In a parallelogram, opposite sides are equal. Therefore, AE = CE.
Given that AE = x and CE = 5x - 92, we can set up the equation x = 5x - 92.
To solve for x, we can subtract 5x from both sides of the equation to get -4x = -92.
Then, divide both sides by -4 to get x = 23.
Substitute x = 23 into the equation CE = 5x - 92 to find the value of CE.
CE = 5(23) - 92 = 115 - 92 = 23.
So, CE = 23.
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