Question

question
given rhombus cdef below, cg = 59. if ge = -x - 7, solve for x.
answer
attempt 1 out of 2
x =

Explanation:

Step1: Recall the property of a rhombus's diagonals

In a rhombus, the diagonals bisect each other. So \(CG = GE\).

Step2: Set up the equation

Since \(CG = 59\) and \(GE=-x - 7\), we have the equation \(59=-x - 7\).

Step3: Solve for \(x\)

Add \(x\) to both sides: \(59 + x=- 7\).
Then subtract \(59\) from both sides: \(x=-7 - 59\).
So \(x=-66\).

Answer:

\(-66\)