Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
BC/DC = EC/AC , substitute values
3x×5/32 - 5x-5/56 ( cross- multiply )
56(3x - 5) = 32(5x - 5) ← distribute and simplify both sides
168x - 280 = 160x - 160 ( subtract 160x from both sides )
8x - 280 = - 160 ( add 280 to both sides )
8x = 120 ( divide both sides by 8 )
x = 15
Answer:
The asteroid will not take out Lois' penthouse.
Step-by-step explanation:
Since the distance between Clark and the base of Lois' building is x = 75 feet and the asteroid is at an angle of elevation of Ф = 62°. These two components form a right-angled triangle with opposite side h which is the height of the asteroid above the ground.
So, by trigonometric ratios,
tanФ = h/x
h = xtanФ
h = 75 ft × tan62°
h = 75 ft × 1.8807
h = 141.1 feet
Since h = height of asteroid above the ground = 141.1 feet is greater than height of the penthouse above the ground = 100 feet, the asteroid will not take out Lois' penthouse.
It is 1/6 chance because 1/2*1/2*1/2= 1/6
I Think The Answer Is 140.
The Expression: 0.8x + x = 252 Can Explain The Answer If x = 140.
Or: 1.8 Times x = 252 If x = 140.
