Angle ABC is an inscribed angle.
Inscribed angle = 1/2 * Intercepted Arc
The intercepted arc is arc CD + arc DA, which would be 128 + 76 = 204
m<ABC = 1/2(204)
m<ABC = 102 degreesYou answer is
D) 102
In order to find the speed at which the boat is traveling, we divide the distance it has traveled by the time elapsed:
2.5/20=0.125 miles/minute
Next, we want to find how long it took for the boat to travel 10 miles. Since it travels 0.125 miles every minute, we just divide:
10/0.125=80
Thus, it took 80 minutes for the boat to reach the bridge
The "mean" of a group of numbers is also called their "average".
To calculate the mean, add up all the numbers, then
divide the sum by the number of items on the list.
Step #1: Addum up: 3+7+2+9+4+7+3+7+5+2 = 49
Step #2: Count the number of items on the list: I count 10 .
Step #3: Divide the sum by the number of items on the list.
49 / 10 = 4.9
The mean (average) of the numbers on that list is 4.9 .
(1,3) , (2,7), and (3,11):
Let's find the slope m between (1,3) and (2,7)
Slope = Rise / Run
m = (7-3) / (1)
m = 4.
Our equation y=mx +b has a slope of 4. Since C is the only option that satisfies this, we already know the answer, but let's find the y-intercept.
y = mx + b. Plug in 4 for m, and the first coordinate (1,3) for x and y
3 =4(1) + b Subtract 4 from both sides
b = -1
Our function is y =4x - 1
Answer is C) y=4x-1
Answer: The exterior angle, D, is supplementary to the adjacent interior angle, C. Together, they form a straight line, measuring 180°. The measure of the remote interior angles, A and B are equal to the measure of the exterior angle D.
Step-by-step explanation: I just did the assignment.
