Question

quadrilateral fghi is a rectangle, fj = 10w - 5, and ij = 14w - 29. what is the value of w?
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w =
submit

Explanation:

Step1: Set segments equal

In a rectangle, diagonals bisect each other, so $FJ = IJ$.
$10w - 5 = 14w - 29$

Step2: Rearrange terms to isolate $w$

Subtract $10w$ from both sides, add 29 to both sides.
$-5 + 29 = 14w - 10w$

Step3: Simplify and solve for $w$

Calculate both sides, then divide by 4.
$24 = 4w$
$w = \frac{24}{4}$

Answer:

$w = 6$