Question

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 ! :)

Answer 1

Step-by-step explanation

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

From the diagram, we see that:

`\begin{gathered} AB=CD, \\ 7y-4=8y-18. \end{gathered}`

Solving this equation for y, we get:

`\begin{gathered} -4=8y-18-7y, \\ -4=y-18, \\ y=18-4, \\ y=14. \end{gathered}`Answer

y = 14