ABCD is an isosceles trapezoid with legs and and base . If the length ofis 7y – 4, the length of is 4y – 6 and the length of is 8y – 18, find the value of y. %0D%0A(2 points)
Since ABCD is an isosceles trapezoid, the lengths of and are equal. This means that 7y – 4 = 8y – 18.
By simplifying this equation, we get:
7y – 4 = 8y – 18
14y – 8 = 16y – 36
8y = 28
y = 28/8
y = 3.5
Therefore, the value of y is 3.5.