Answer:
63°
Step-by-step explanation:
The sum of all interior angles of a triangle = 180°
Therefore:
x + 96° + 21° = 180°
x + 117 = 180
Subtract 117 from each side
x = 180 - 117
x = 63°
If a is the number of events, then a = 1. Plugging in 1 for a in the equation
, you get
.
Total cost is $9.
Answer:
x^2 ×1 2x + 36
Step-by-step explanation:
area of a square = L × B
= (x+6) (x+6) since a square has 4 equal sides, it becomes (x+6) (x+6)
= x(x+6) +6(x+6)
= x^2 + 6x + 6x +36
= x^2 + 12x +36 added all the like terms 6x + 6x = 12x
hope this helps ☆☆☆
Answer: the length of each of the two equal sides is 25 centimeters
Step-by-step explanation:
Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.
Let y represent the length of the third side.
The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that
2x + y = 65 - - - - - - - - - 1
Each of the equal sides is 10 centimeters longer than the third side. This means that
x = y + 10
Substituting x = y + 10 into equation 1, it becomes
2(y + 10) + y = 65
2y + 20 + y = 65
2y + y = 65 - 20
3y = 45
y = 45/3 = 15
Substituting y = 15 into x = y + 10, it becomes
x = 15 + 10 = 25
Possible number combinations are 1,1 2,1 3,1 4,1 5,1 6,1 1,2 2,2 3,2 4,2 5,2 6,2 1,3 2,3 3,3 4,3 5,3 6,3 1,4 2,4 3,4 4,4 5,4 6,4 1,5 2,5 3,5 4,5 5,5 6,5 1,6 2,6 3,6 4,6 5,6 and 6,6. of those 36 number combinations the ones that add up to more than 10 include: 4,6 5,5 5,6 6,4 6,5 6,6. thats 6 number combinations. 6/36 of the possible sums of the top faces equal out to 10 or more. 6/36=1/6=0.166666666666666666666666(repeating) and to put that in a percentage, 16.7%
the probability is 16.7%
Hope this helps.
