Answer:
B. 360
Step-by-step explanation:
From the following figure:
Because the center angle measure 45 degrees, we must rotate 3 times 45 degrees to get point D.
In other words, we must rotate

that is 135 degrees clockwise.
Answer: 40
Step-by-step explanation:
Answer:
7.0 mi
Step-by-step explanation:
see the attached figure to better understand the problem
step 1
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so

substitute the given values


step 2
Find the measure of a
Applying the law of sines

substitute the given values

solve for a


Answer:
Step-by-step explanation:
<u>Sum of internal angles of a regular polygon is:</u>
<u>We have here 5-sided polygon:</u>
- S = 180*(5 - 2) = 180°*3 = 540°
<u>Now sum the given angles measures and solve for x:</u>
- 3x + 1 + 2x + 15 + 3x - 10 + 3x - 8 + 5x - 2 = 540
- 16x - 4 = 540
- 16x = 544
- x = 544/16
- x = 34°
<u>Find the measure of angle R:</u>
- m∠R = 3x - 10 = 3*34 - 10 = 102 - 10 = 92
- m∠R = 92°