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The product of powers property.
Find the last angle:
180-(30+90)
180-(120)
60
Evaluate using sine rule:
=
c=
=
=20
The length of line segment AB is 20 feet (answer choice C)
Answer:
14
Step-by-step explanation:
the four smaller rectangles of each of the corners: 2*1=2. since there are four of them, 2*4=8
the middle, larger rectangle: (6-2-2)*(1+1+1) = 2*3 =6
add small and big rectangles: 8+6 = 14
Answer:
x = 60
Step-by-step explanation:
Vertical opposite angles are formed when two straight lines intersect each other.
Given that AD and CD are two straight lines intersecting at O, the two vertical opposite formed are, ∠AOD and ∠COB. Therefore:
∠AOD = ∠COB (Vertical opposite angles are congruent)
∠AOE = 90° (right angle)
∠DOE = x
∠COF = 30°
∠BOF = 2x
m∠AOE + m∠DOE = m∠AOD (angle addition postulate)
90 + x = ∠AOD (Substitution)
m∠COF + m∠BOF = m∠COB (Angle addition postulate)
30 + 2x = ∠COB
m∠AOD = m∠COB (vertical opposite angles)
90 + x = 30 + 2x (Substitution)
Collect like terms
90 - 30 = 2x - x
60 = x
x = 60
