**Answer:**

40°

**Step-by-step explanation:**

if,

1) BC is the diameter and,

2) A is located on the circumference,

then by Thales' Theorem (see attached for reference),

3) m∠A is 90°

hence,

m∠C = 180° - m∠B - m∠A

= 180° - 50° - 90°

= 40°

**Answer:**

x=6.5 cm

**Step-by-step explanation:**

The tangent meets the circle at right angles.

Therefore the triangle formed is a right triangle.

From the Pythagorean Theorem;

We expand to obtain:

We group like terms to get:

We simplify now to get:

We divide both sides by 29.4 to get:

x=6.5 to the nearest tenth.

Answer: 40%

Step-by-step explanation: you would need to find the total amount of guests which would be 425 since you’d add 170 and 255, then take the amount of guests that called for room service which is 170 and divide that by the total amount of guests 425 and you would get .4 then to get the percent you would multiply .4 by 100 which would equal 40%

**Answer:**

**Step-by-step explanation:**

150/x=sin 15

x=150÷sin 15≈579.56 m

Answer:

It rotates 50 times a second

Step-by-step explanation:

There is 60 seconds in a minute,so all you have to do is Divide 30,000 by 60 and you get 50!