Question

steve is completing his homework, but is baffled as to where he went wrong. his teacher said that all answers were integers; however, his final answer was a fraction. where was the first step where steve went wrong when solving this problem? the following figure is a parallelogram.
w 5c - 21 x
y 2c z
5c - 21 + 2c = 360 step 1
7c - 21 = 360 step 2
7c = 381 step 3
c = 381/7 step 4

Explanation:

Step1: Recall property of parallelogram

In a parallelogram, opposite - sides are equal. So, the correct equation should be \(5c - 21=2c\), not \(5c - 21 + 2c=360\). The equation \(5c - 21 + 2c = 360\) is wrong as it wrongly assumes the sum of two adjacent - side lengths is 360.

Answer:

Step 1