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given rhombus uvwx below, xy = 73. if yv = -3x - 2, solve for x.

Question

given rhombus uvwx below, xy = 73. if yv = -3x - 2, solve for x.

Explanation:

Step1: Set segments equal (rhombus diagonals)

$XY = YV$
$73 = -3x - 2$

Step2: Isolate the term with x

$3x = -2 - 73$
$3x = -75$

Step3: Solve for x

$x = \frac{-75}{3}$

Answer:

$x = -25$