Question

9.
What is the measure of an interior angle of a regular decagon?


180°


144°


18°


36°

Answer 1

11.
The car at each vertex of a Ferris wheel holds a maximum of 5 people. The sum of the measures of the angles of the Ferris wheel is 7740º. What is the maximum number of people that the Ferris wheel can hold?


225


250


300


200

Answer 2

32.
What are the x- and y-intercepts for the graph of 5x – 2y = 20?


x-intercept = −4
y-intercept = 10


x-intercept = −2
y-intercept = 5


x-intercept = 4
y-intercept = −10


x-intercept = 2
y-intercept = −5

Answer 3

144°

Answer 4

300

Explanation:
Since each car can hold a maximum of 5 people, the total number of people = number of cars multiplied by 5.
Let x be the number of cars. So, the total number of people = 5x.

The sum of the measures of the angles of a Ferris wheel, which is a regular polygon, is given by the formula:
(n - 2) * 180°, where n is the number of sides (in this case, the number of cars)

So, we have:
(n - 2) * 180 = 7740
(n - 2) = 7740 / 180
n - 2 = 43
n = 45

Now, substituting the number of cars back into the total number of people equation:
5x = 5 * 45 = 225.

Therefore, the maximum number of people that the Ferris wheel can hold is 225 (option C is incorrect. Option C, 300, is not the correct answer).

Answer 5

To find the x-intercept, we set y to 0 and solve for x:

5x - 2(0) = 20
5x = 20
x = 20/5
x = 4

Therefore, the x-intercept is x = 4.

To find the y-intercept, we set x to 0 and solve for y:

5(0) - 2y = 20
-2y = 20
y = 20/(-2)
y = -10

Therefore, the y-intercept is y = -10.

Thus, the correct answer is:
x-intercept = 4
y-intercept = -10.