It takes 13 more copies of the angle for the last angle to overlap the first horizontal ray. What is the measure of each angle?
1 answer:
Missing part in the heading of the question:
For this question, use the diagram shown. The diagram shows the result of constructing a copy of an angle adjacent to one of the rays of the original angles. Assume the pattern continues.
Answer:
measure of each angle = 24°
Explanation:
The diagram shows two angles, if we add 13 more copies, the number of angles would be 15 angles
Now, when the 15 angles are drawn, the last angle would overlap with the first horizontal ray.
This means that the angles form one complete rotation around the point.
This means that the sum of the 15 angles together is 360°.
We know the all 15 angles are equal. Assume that the measure of each is x.
15 x = 360
x = 360 / 15
x = 24°
Hope this helps :)
For this question, use the diagram shown. The diagram shows the result of constructing a copy of an angle adjacent to one of the rays of the original angles. Assume the pattern continues.
Answer:
measure of each angle = 24°
Explanation:
The diagram shows two angles, if we add 13 more copies, the number of angles would be 15 angles
Now, when the 15 angles are drawn, the last angle would overlap with the first horizontal ray.
This means that the angles form one complete rotation around the point.
This means that the sum of the 15 angles together is 360°.
We know the all 15 angles are equal. Assume that the measure of each is x.
15 x = 360
x = 360 / 15
x = 24°
Hope this helps :)
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<h2>Answer</h2>
Cost of lectures = $7.33 per hour
<h2>Explanation</h2>Let the cost of the exam hours
Let be the cost of the workshop hours
Let be the cost of the lecture hours.
We know from our problem that exam hours cost twice as much as workshop, so:
equation (1)
We also know that workshop hours cost twice as much as lecture hours, so:
equation (2)
Finally, we also know that 3hr exams 24hr workshops and 12hr lectures cost $528, so:
equation (1)
Now, lets find the value of :
Step 1. Solve for in equation (3)
equation (4)
Step 2. Replace equation (1) in equation (4) and simplify
equation (5)
Step 3. Replace equation (2) in equation (5) and solve for
Cost of lectures = $7.33 per hour