Answer:
x = 4 + sqrt(73) or x = 4 - sqrt(73)
Step-by-step explanation by completing the square:
Solve for x:
(x - 12) (x + 4) = 9
Expand out terms of the left hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)
Answer:
∠E = ∠F = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180
x + x + 98 = 180 ( subtract 98 from both sides )
2x = 82 ( divide both sides by 2 )
x = 41
Hence
∠E = ∠F = 41°
Answer:
b-65
Step-by-step explanation:
They give you 130 and so to get the next measure its 180-130 and you get 50. So the blank angle is 50. Then the next two angles are y which means theyre equal to each other so they have to be the same number. Get 180 again and subtract 50 and get 130. Split 130 in half and get 65.
Equilateral triangle with the side 4 cm and h=2.5 cm
In equilateral triangle all sides are equal
so all sides are equal in the base of the prism
lateral area of the prism = Perimeter of the base * height
Perimeter of the base equilateral triangle = side + side + side
lateral area of the prism =(side + side + side) * height
= (4+4+4) * 2.5
= 
lateral area of the prism =
