Question

steve decided to reattempt the same problem. identify the first step in which he made an error. remember, this figure is a parallelogram.
w 5c - 21 x
y 2c z
5c - 21 = 2c step 1
3c = 21 step 2
c = 7 step 3

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite - sides are equal. Side \(WX = 5c - 21\) and side \(YZ=2c\). Since they are opposite sides of a parallelogram, setting up the equation \(5c - 21=2c\) is a correct first - step based on the property of opposite sides of a parallelogram being equal.

Step2: Analyze step 2

To get from \(5c - 21 = 2c\) to \(3c=21\), we subtract \(2c\) from both sides and add 21 to both sides. \(5c-2c=21\), which simplifies to \(3c = 21\). This step is correct.

Step3: Analyze step 3

To solve for \(c\) in the equation \(3c = 21\), we divide both sides by 3. \(\frac{3c}{3}=\frac{21}{3}\), so \(c = 7\). This step is correct.

Since all steps are correct, there is no error in the given steps.

Answer:

There is no error in the given steps.