Answer:
Step-by-step explanation:
Statment1. BD bisects ∠ABC
Reason1. Given
Statment 2. ∠ABD≅∠DBC (A)
Reason2. Definition of angle bisector
Statment 3. BD≅BD (S)
Reason3. Reflexive propriety
Statement 4. ∠BDA≅∠BDC (A)
Reason 4. Given
Statement 5 ΔABD≅ΔCDB
Reason 5. ASA theorem of congruency
Answer: x = 9, 5
<u>Step-by-step explanation:</u>
4 | x - 7 | + 2 | x - 7 | = 12
6 | x - 7 | = 12 <em>added like terms</em>
| x - 7 | = 2 <em>divided both sides by 6</em>
x - 7 = 2 or x - 7 = -2 <em>removed absolute value sign</em>
x = 9 or x = 5 <em>added 7 to both sides of both equations</em>
44h
Auto repair shop Charge - $36
Replaced Parts - $8
Number of Hours - h
Formula to find the total cost
(Auto Repair Shop Charge + Replaced Parts) x Number of Hours
= (36 + 8) x h
= 44 x h
= 44h
10
The factors of 50 are: 1, 2, 5, 10, 25, 50
The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 260 are: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
In all of these numbers, we can see that 10 is common throughout and 10 is also the greatest factor all these numbers share.
Hope this helps you :)