Answer:
steps below
Step-by-step explanation:
3.2.1 AD = DB* sin 2 = DB * sin θ .. DE // AB ∠2= θ ... (1)
By laws of sines: DB / sin ∠5 = x / sin ∠4
∠4 = θ-α ∠5 = 180°-<u>∠1</u>-∠4 = 180°-<u>∠3</u>-∠4 = 180°-(90°-θ)-(θ-α)) = 90°+α
DB = (x*sin ∠5)/sin (θ-α)
= (x* sin (90°+α)) / sin (θ-α)
AD = DB*sinθ
= (x* sin (90°+α))*sinθ / sin (θ-α)
= x* (sin90°cosα+cos90°sinα)*sinθ / sin (θ-α) .... sin90°=1, cos90°=0
= x* cosα* sinθ / sin (θ-α)
3.2.2 Please apply Laws of sines to calculate the length
Answer:
the last box represents a set of data
Answer:
18° and 72°
Step-by-step explanation:
let x be the measure of one angle then the other is 3x + 18
The sum of the 2 complementary angles = 90°, hence
x + 3x + 18 = 90
4x + 18 = 90 ( subtract 18 from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
the 2 angles are 18° and (3 × 18 ) + 18 = 72°
HERE IS YOUR ANSWER
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Regular price is $120
And they are on sale for 35% off.
120 * 35/100 = $42
So they are $42 off.
Then;
Sale price is $120 - $42 = $78
