Question

Analyze the diagram below and complete the instructions that follow.Figure ABCD is a kite. If line AD congruent to AB, find AB.

Answer 1

We know that AD = AB

So....

2r + 8 = 5r - 13

8 + 13 = 5r - 2r

21 = 3r

7 = r

Answer 2

Answer:
AB = AD = 22 units

Step-by-step explanation:
1- solving for r:
We are given that:
AD is congruent to AB
This means that:
AD = AB
2r + 8 = 5r - 13
5r - 2r = 8 + 13
3r = 21
r = 21/3
r = 7
2- getting the value of AB:
Since we calculated the value of r, we can simply substitute in the equation to get AB as follows:
AB = AD = 5(7)-13 = 2(7)+8 = 22 units

Hope this helps :)