∠CAE = 120°
∠CAD = 60°
∠BAE = 180°
∠DEC = 30°
We start out with the fact that points C and D split the semicircle into 3 sections. This means that ∠BAC, ∠CAD and ∠DAE are all 60° (180/3 = 60).
Since it forms a straight line, ∠BAE is 180°.
Since it is formed by ∠CAD and ∠DAE, ∠CAE = 60+60 = 120°.
We know that an inscribed angle is 1/2 of the corresponding arc; since CD is 1/3 of the circle, it is 1/3(180) = 60; and this means that ∠DEC = 30°.
She earned $82.50 in commission & $482.50 total gross pay
Answer:
0.04
Step-by-step explanation:
12^(-x) = 5 (taking log on both sides)
log [ 12^(-x)] = log 5
-x log 12 = log 5
-x = log 5 / log 12
x = - (log 5/log12)
x = -0.6477
12^(2x)
= 12^[2(-0.6477)]
= 12 ^ (-1.295)
= 0.04
2 2/5 2 can go into 4/10 so 4=2 and 10=5 so the answer is 2 2/5