Prove algebraically that n^2-2-(n-2)^2 is always even
2 answers:
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Both angles 2x+6 and 96 shown are vertically opposite angles and vertically opposite angles are always equal
so 2x+6 should be equal to 96
so 2x + 6 = 96
Now we have to solve for x here and have to get x by itself on left hand side
So first get rid of +6 by doing its opposite -6 on both sides
2x + 6 -6 = 96 -6
2x = 90
Now to get x by itself we have to get rid of 2, for that divide both sides by 2
x = 45
Hence proved that x = 45
Answer:
The pyramid's surface area is 78 square centimeters
Step-by-step explanation:
The formula of the surface area of a pyramid is S.A = A + p s, where
- A is the area of its base
- p is the perimeter of its base
- s is the slant height of it
∵ The area of the base of a triangular pyramid is 28 cm²
∴ A = 28 cm²
∵ The perimeter of the base is 20 cm
∴ p = 20 cm
∵ The he slant height is 5 cm
∴ s = 5 cm
- Substitute these values in the formula of the surface area
above to find it
∵ S.A = 28 + (20)(5)
∴ S.A = 28 + 50
∴ S.A = 78 cm²
The pyramid's surface area is 78 square centimeters