Question

score: 2/5 penalty: 0.25 off
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 sides

In a rhombus, all sides are equal. So, $10x - 1=59$.

Step2: Solve for $x$

$$\begin{align*} 10x-1&=59\\ 10x&=59 + 1\\ 10x&=60\\ x&=\frac{60}{10}\\ x&=6 \end{align*}$$

Step3: Solve for $y$

Since $2y-1 = 59$ (sides of rhombus are equal)

$$\begin{align*} 2y-1&=59\\ 2y&=59+1\\ 2y&=60\\ y&=\frac{60}{2}\\ y&=30 \end{align*}$$

Step4: Solve for $z$

Since $z - 7=59$ (sides of rhombus are equal)

$$\begin{align*} z-7&=59\\ z&=59 + 7\\ z&=66 \end{align*}$$

Answer:

$x = 6$, $y = 30$, $z = 66$