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ABCD is an isosceles trapezoid with legs LINE AB and LINE CD and base LINE BC. If the length of LINE AB is 7y - 4, the length of LINE BC is 4y - 6 and the length of LINE CD is 8y - 18, find the value of y.thank you ! :)

ABCD is an isosceles trapezoid with legs LINE AB and LINE CD and base LINE BC If the length of LINE AB is 7y 4 the length of LINE BC is 4y 6 and the length of L class=

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Explanation

Using the data of the statement, we make the following diagram:

From the diagram, we see that:

[tex]\begin{gathered} AB=CD, \\ 7y-4=8y-18. \end{gathered}[/tex]

Solving this equation for y, we get:

[tex]\begin{gathered} -4=8y-18-7y, \\ -4=y-18, \\ y=18-4, \\ y=14. \end{gathered}[/tex]Answer

y = 14

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