Answer:
∠V = 33°
∠W = 90°
∠X = 57°
Step-by-step explanation:
In a right triangle, the sum of the acute angles is 90 degrees
(2x+3) + (3x+12) = 90
combine like terms
5x + 15 = 90
5x = 75
x = 15
∠V = 2x+3, x=15
2(15) + 3
30 + 3
33°
∠X = 3x+12, x=15
3(15) + 12
45 + 12
57°
Answer:
Check the explanation
Step-by-step explanation:
Let 
be the indicator random variable that takes the value 1 if the ith coin is the first coin in a sequence of 19 consecutive heads.
For any sequence of length 19, the starting coin can be from toss i ,
such that i is between 1 and n - 19+1
Thus the number of such sequences is
Kindly check the attached image below for the step by step explanation to the question above.
Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
<T = 45°
Hope this helps!! :)
