Question

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

y = 7

z =

Explanation:

Step1: Use the property of a 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 \(x - 5=40\).
\(x=40 + 5=45\).

Step3: Solve for \(y\)

Set \(6y-2 = 40\). Add \(2\) to both sides: \(6y=40 + 2=42\). Then divide both sides by \(6\): \(y=\frac{42}{6}=7\).

Step4: Solve for \(z\)

Set \(5z + 5=40\). Subtract \(5\) from both sides: \(5z=40 - 5=35\). Then divide both sides by \(5\): \(z=\frac{35}{5}=7\).

Answer:

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