To solve this problem, you must know that an inscribed angle equals 1/2 of the arc that it intercepts.
Therefore, because <ABC intercepts arc ADC, we know that
the measure of angle ABC = 1/2 * (measure of Arc ADC)
OR, when the values are substituted into the equation
165 = (1/2) (5)(x-3)
When simplified, this equation equals
330 = 5x - 15
345 = 5x
x = 69
Therefore, your answer is the second option, that x = 69 degrees.
Answer:
C
Step-by-step explanation:
Multiply by 12 on both sides.
Start with step one
y/3 - 1/4 = 5 Multiply both sides by 12
12(y/3 - 1/4) = 5*12
12*y/3 - 12 * 1/4 = 60
3 goes into 12 four times
4 goes into 12 three times. In both cases you are cancelling.
4y - 3 = 60
The correct answer would be A), because the two shortest sides should be greater than the longest side when added together.
Answer: The player need to make 2 consecutive free throws to raise the average to 75%.
Step-by-step explanation:
Let the number of extra consecutive free throws to raise the average to 75% be 'x'.
Number of free throws already taken = 32
Number of attempts = 45
According to question, it becomes,

Hence, the player need to make 2 consecutive free throws to raise the average to 75%.
Answer:
1/250 W/m² or 0.004 W/m² or 4 mW/m²
Step-by-step explanation:
The cargo worker is (50 m)/(1 m) = 50 times the reference distance. The intensity varies as the inverse of the square of the distance, so will be ...
(1/50)²×(10 W/m²) = 10/2500 W/m² = 1/250 W/m²
This might be more conveniently written as 4 mW/m².