Answer:
45 is the answer
Step-by-step explanation:
first you have to know the sum of interior angle of that pentagon (540)
then add the all angle.
148 + x + 112 + 90 + 3x + 10 = 540.
or, 360 + 4x = 540
or, 4x = 540 - 360
or, 4x = 180
or, x = 180/4
or, x = 45
hope it will help you☺✌
3t + 15 + 5t - 2t - 4
6t + 15 - 4
6t + 11
Answer:
407.22 foot is the boat from the base of the lighthouse
Step-by-step explanation:
Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.
Let x foot be the distance of the object(boat) from the base of the lighthouse
Angle of depression = 
[Alternate angle]
In triangle CAB:
To find AB = x foot.
Using tangent ratio:


Here, BC = 50 foot and 
then;

or


Simplify:
AB = x = 407.217321 foot
Therefore, the boat from the base of the light house is, 407.22'
Answer:
∠ K = 35° and ∠ L = 105°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
let ∠ K = x then ∠ L = 3x
Sum the angles and equate to 180
3x + x + 40 = 180, that is
4x + 40 = 180 ( subtract 40 from both sides )
4x = 140 ( divide both sides by 4 )
x = 35
Thus
∠ K = 35° and ∠ K = 3x = 3 × 35 = 105°