Angle ADB is a right angle, which is given.
The measure of ADB is 90 degrees by definition of right angle.
The two angles are a linear pair (aka they're supplementary) by definition of linear pair (they're formed by two intersecting lines).
The measure of BDC is 90 because BDC + ADB = 180 (definition of linear pair), and ADB = 90 (given).
BDC = ADB because 90 = 90
Overall, the two triangles are congruent by SAS.
Answer: shameeka sold 20 hamsters to the store.
Step-by-step explanation:
Let x represent the number of hamsters that shameeka sold to the store.
Let y represent the number of hamsters that the pet store had initially.
Shameeka sold her hamsters to a pet store. This doubled the number of hamsters in the store. It means that
x + y = 2y
x = 2y - y
x = y
Then the store got six more hamsters. If the pet store has 46 hamsters now, it means that
2y + 6 = 46
2y = 46 - 6
2y = 40
y = 40/2
y = 20
Since x = y, then
x = 20
6 I do believe so hope this helps!
Answer:
(7n^2+8n+2)
Step-by-step explanation:
(7n^2+9n+9)–(n+7)
Distribute the minus sign
(7n^2+9n+9)–n-7
Combine like terms
(7n^2+8n+2)
Answer:


Step-by-step explanation:
Given (Omitted from the question)



Solving (a): 
This is calculated using:


<em>We used Total - 1 because it is a probability without replacement</em>
So, we have:





Solving (b) 
This is calculated as:







