Answer:
x=27
Step-by-step explanation:
132 + 21 = 153
180 - 153 = 27
Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
<span>3x + y= 17 (a)
4x + 2 y = 20 (b)
Multiply (a) by 2:
6x + 2y = 34 (a)
4x + 2y = 20 (b)
make: (a) - (b)
2x = 14 -----> x =7
-------------------------------
Replace the value of x = 7 in one of anterior equation:
</span>3x + y= 17
3 x 7 + y = 17
21 + y = 17
y = 17 - 21
y = -4
Answer:n 6
Step-by-step explanation:
Divide 66 by 11 and you get 6