Question

abcd is a parallelogram. find the length of \\(\overline{ad}\\).
a
9y - 7
d
b
10y - 8
c

Explanation:

Step1: Recall parallelogram property

In a parallelogram, opposite sides are equal. So, \( AD = BC \).
Given \( AD = 9y - 7 \) and \( BC = 10y - 8 \), we set them equal: \( 9y - 7 = 10y - 8 \).

Step2: Solve for y

Subtract \( 9y \) from both sides: \( -7 = y - 8 \).
Add 8 to both sides: \( y = 1 \).

Step3: Find length of AD

Substitute \( y = 1 \) into \( AD = 9y - 7 \): \( AD = 9(1) - 7 = 9 - 7 = 2 \).

Answer:

The length of \(\overline{AD}\) is \( 2 \).