Question
Find the degree of rotation about the spinner center that maps label i to label g.
The figure shows a spinner divided into 10 equal sections. The sections are labeled from A through J is alphabetical order clockwise around the spinner from A at the top right to J at the top left.
(1 point)
Responses
72°
72°
108°
108°
36°
36°
288°
288°
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To find the degree of rotation about the spinner center that maps label i to label g, you need to determine how many sections in a clockwise direction you need to move from label i to label g.
In this case, you need to move from label i to label g in a clockwise direction, which means you need to move past 3 labels (h, j, g).
The spinner is divided into 10 equal sections, so each section represents a rotation of 360°/10 = 36°.
Therefore, you need to rotate the spinner by 3 sections or 3 * 36° = 108° in a clockwise direction to map label i to label g.
The correct answer is 108°.
To find the degree of rotation about the spinner center that maps label i to label g, we need to count the number of sections between i and g in a clockwise direction.
Starting from i, we count:
- 1 section to reach label J
- 2 sections to reach label A
- 3 sections to reach label B
- 4 sections to reach label C
- 5 sections to reach label D
- 6 sections to reach label E
- 7 sections to reach label F
- 8 sections to reach label G
Therefore, there are 8 sections between i and g. Since each section is 360°/10 = 36°, the degree of rotation is 8 * 36° = 288°.
Therefore, the correct answer is 288°.