Answer:
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Step-by-step explanation:
● A standard deck of cards has:
● 52 Cards in 13 values and 4 suits
● Suits are Spades, Clubs, Diamonds
and Hearts
● Each suit has 13 card values:
2-10, 3 “face cards” Jack, Queen, King (J, Q, K)
and and Ace (A)
Basic Card Probabilities
● If you draw a card at random, what is the
probability you get:
● A Spade? P(Spade)=13/52
● A Face card? P(Face Card)=12/52 (or simply 3/13)
● A Red Ace? P(Red Ace) = 2/52
Pretty sure the answer is DFE
Answer:
The coordinates of the circumcenter of this triangle are (3,2)
Step-by-step explanation:
we know that
The circumcenter is the point where the perpendicular bisectors of a triangle intersect
we have the coordinates

step 1
Find the midpoint AB
The formula to calculate the midpoint between two points is equal to

substitute the values


step 2
Find the equation of the line perpendicular to the segment AB that passes through the point (-2,2)
Is a horizontal line (parallel to the x-axis)
-----> equation A
step 3
Find the midpoint BC
The formula to calculate the midpoint between two points is equal to

substitute the values


step 4
Find the equation of the line perpendicular to the segment BC that passes through the point (3,-1)
Is a vertical line (parallel to the y-axis)
-----> equation B
step 5
Find the circumcenter
The circumcenter is the intersection point between the equation A and equation B
-----> equation A
-----> equation B
The intersection point is (3,2)
therefore
The coordinates of the circumcenter of this triangle are (3,2)
Answer:
y + 1 = 3(x - 1)
Step-by-step explanation:
The given point is (1,-1) meaning that x1 = 1 and y1 = -1
The slope of this line is m = 3 because we go up 3 and over to the right 1 (eg: go from the point (1,-1) to (2,2) to see this in action)
Plug these three pieces of info into the point slope formula below
y - y1 = m(x - x1)
y - (-1) = 3(x - 1)
y + 1 = 3(x - 1)
The perimeter of a rectangle:P = 2 L + 2 W
L ( length ) = 5.50 mW ( width ) = 12.0 mP = 2 * 5.50 + 2 * 12.0 = 11 + 24 = 35 mThe area of a rectangle:A = L x W
A = 5.50 * 12.0 = 66 m²Answer: 35, 66