Answer:
- 4m - 2r - 25
Step-by-step explanation:
-8m + (-15) + 4m - 2r - 10
- 8m - 15 + 4m - 2r - 10
collect the like terms beginning with the positives
4m - 8m - 2r - 10 - 15
- 4m - 2r - 25
There are 16 on each layer and 96 in total
We know that the law of sines states that:
For simplicity, let:
In triangle A1BC this leads to:
Therefore:
Now, triangle A2BC is isosceles which means that both the base angles are equal, since angle CA1B and A2A1B are supplementary we have:
Answer:
75°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here n = 6 , then
sum = 180° × 4 = 720°
let x be the sixth angle, then sum and equate to 720°
150 + 100 + 80 + 165 + 150 + x = 720
645 + x = 720 ( subtract 645 from both sides )
x = 75
The sixth interior angle is 75°
The expression for the perimeter of the rectangle is 2(11c - 11d)
Perimeter of a rectangle = 2(length + width)
Length = 3c - 9d
Length = 3c - 9d Width = 8c - 2d
The expression for the perimeter can be expressed thus :
2(3c - 9d + 8c - 2d)
Collect like terms :
2(3c + 8c - 9d - 2d)
2(11c - 11d)
Hence, the expression for the perimeter of the rectangle is 2(11c - 11d)
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