Cam has a piece of plywood that is 6 7/8 feet wide. he is going to cut shelves from the plywood that are each 1 1/6 feet wide. which is a good estimate for the number of shelves cam can make?

6 7/8= 55/8
6 1/6= 7/6
first find common denominators
55/8 * 3= 165/24
7/6 * 4= 28/24
165/24 divided by 28/24 is the same as 165/24 time 24/28
so that equals 3960/672
which equals 5.8928
so estimates about 5 shelves

Step-by-step explanation:

1. You already got the first step, where D is the midpoint of AC and AB is congruent to BC, since it's given.

2. AD will be congruent to DC, via the definition of a midpoint (a midpoint is the middle point of a line segment, and it splits the segment into two congruent parts)

3. BD is equal to BD, via reflexive property. ( It's a shared side between the two triangles)

4. that means that ΔADB ≅ΔCDB via SSS rule.

5. ∠ABD ≅∠CDB by CPCTC (corresponding parts of congruent triangles are congruent)

Hope this helps! :)