Answer:
1
Step-by-step explanation:
Assuming, we want to find the value of 
Recall that: any non-zero number exponent zero is 1.
Using this property, we simplify our expression to
since 
Now using the property of exponents: 
This implies that:
The correct answer is 1
Answer:
86 degrees
Step-by-step explanation:
For triangle the sum of angles is equal to 180 degrees
so,
x+(x-35)+43=180
2x -35+43=180
2x = 180-43+35
2x = 172
x = 86
Its A. x=4
procedure: 3*equation1 - 2*equation2 ⇒ x=4
Answer:
There are 685464 ways of selecting the 5-card hand
Step-by-step explanation:
Since the hand has 5 cards and there should be at least 1 card for each suit, then there should be 3 suits that appear once in the hand, and one suit that apperas twice.
In order to create a possible hand, first we select the suit that will appear twice. There are 4 possibilities for this. For that suit, we select the 2 cards that appear with the respective suit. Since there are 13 cards for each suit, then we have
possibilities. Then we pick one card of all remaining 3 suits. We have 13 ways to pick a card in each case.
This gives us a total of 4*78*13³ = 685464 possibilities to select the hand.