Question

find the value of x, y, and z, in the rhombus below. answer attempt 1 out of 2 x = y = z =

Explanation:

Step1: Use the property of rhombus (all sides are equal)

Since all sides of a rhombus are equal, we have \(x - 5=40\).

Step2: Solve for \(x\)

Add \(5\) to both sides of the equation \(x - 5=40\).
\(x=40 + 5\)

Step3: Use the property of rhombus (all sides are equal)

We also have \(6y-2 = 40\).

Step4: Solve for \(y\)

First, add \(2\) to both sides: \(6y=40 + 2=42\). Then divide both sides by \(6\), \(y=\frac{42}{6}\).

Step5: Use the property of rhombus (all sides are equal)

We have \(5z + 5=40\).

Step6: Solve for \(z\)

Subtract \(5\) from both sides: \(5z=40 - 5 = 35\). Then divide both sides by \(5\), \(z=\frac{35}{5}\).

Answer:

\(x = 45\), \(y = 7\), \(z = 7\)