Hello,
5x-6=2(x+6)
==>3x=6
==>x=2
==>KJ=HK=x+6=8
Since opposite angles are the same:
angle DEC = 130
We know angle BEC + AED = 360 - 130*2
Since angles in a circle add up to 360 degrees:
BEC + AED = 360 - 260
BEC + AED = 100
This means that BEC = 50 and
AED = 50
Now that we know 2 angles in the triangle CEB we can work out y:
y = 180 - 50 - 70
y = 60 degrees
Answer:
B
Step-by-step explanation:
Use the formula for radius and circle circumference.
Since we know the diameter, if we divide that by 2, we can get the radius.
Now we can plug that value into the circumference formula to get the circumference.
*Since we're rounding to the nearest inch.
Answer:
Correct answer: Db = 411 .18 ft
Step-by-step explanation:
Given:
α = 27° angle of depression
Dt = 462 ft distance from the top of lighthouse to the boat
Db = ? distance from the base of the lighthouse to the boat
Here we have a right triangle with hypotenuse Dt and one leg Db.
By definition
cos α = Db / Dt ⇒ Db = Dt · cos α
Db = 462 · cos 27° = 462 · 0.89 = 411 .18 ft
Db = 411 .18 ft
God is with you!!!
