Solution:
Number of times a die is rolled = 20
1 - 3=A
2 - 5=B
3 - 4=C
4 - 2=D
5 - 3=E
6 - 3=F
Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times
= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes
= 6! × [ 3! × 5! × 4!×2!×3!×3!]
= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]
= 895795200 Ways
Answer:
1: two sides and angle of one triangle are congruent.
Step-by-step explanation:
The triangles are congruent because two sides and the generated angle of a triangle correspond to their respective sections. If two angles and the side used in one triangle are identical.
Hope this helps
Remember that a parallel line has the same slope...
So we already know the slope of the line containing point C is -4.
Using point slope equation, we can do...
y-y₁=m(x-x₁)
y-7= -4(x-4)
y-7- -4x+16
*Add seven to both sides...* y=-4x+23
There is you answer... hope this helps!
