If mBC in circle Ais 60°, what is mZ BDC? a. 60 degrees
b. 45 degrees
c. 30 degrees
d. 25 degrees

Option (C)

Step-by-step explanation:

Measure of the arc BC of a circle A = 60°

Since, measure of an arc is equal to the measure of the central angle that intercepts the arc.

Therefore, m∠A = 60°

Since, measure of the inscribed angle is half of the central angle subtended by the same arc.

Therefore, m∠A =

60° = 2 × m(∠BDC)

m∠BDC = 30°

Therefore, Option (C) will be the answer.

the expression (1.26)2t reveals the approximate rate of increases in the number of plants semiannually.

hope this : )

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet