Answer:
A
Step-by-step explanation:
For all triangles, the angle sum is 180°, therfore we can add all the angles up to solve x
54 + 55 + x + 74 =180
183 + x =180
X = 180 - 183
X = - 3 °
Don't worry, negative result is normal and possible.
Subtract 1 from +1 and 0 and then divide the negative from x and -1 which gives u with x=1
Answer: LHS = RHS
Step-by-step explanation:
Heya!!
Here, we need to compare the LHS and RHS
So, here is the solution -
(9p-5q)²+ 180 pq = (9p+5q)
LHS
= (9p-5q)²+ 180 pq
= 81 p² + 25 q² + 90 pq + 180 pq
= (9p - 5q) ²
RHS = (9p - 5q) ²
Hence, proved => LHS = RHS
Hope it helps!
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.