Question

quadrilateral fghi is an isosceles trapezoid, fh = 7a - 46, and gi = 6a - 28. what is the value of a? a =

Explanation:

Step1: Set diagonals equal (isosceles trapezoid)

$7a - 46 = 6a - 28$

Step2: Isolate variable $a$

$7a - 6a = -28 + 46$

Step3: Simplify to solve for $a$

$a = 18$

Answer:

$a = 18$