Problem 1
Draw a straight line and plot P anywhere on it. Use the compass to trace out a faint circle of radius 8 cm with center P. This circle crosses the previous line at point Q.
Repeat these steps to set up another circle centered at Q and keep the radius the same. The two circles cross at two locations. Let's mark one of those locations point X. From here, we could connect points X, P, Q to form an equilateral triangle. However, we only want the 60 degree angle from it.
With P as the center, draw another circle with radius 7.5 cm. This circle will cross the ray PX at location R.
Refer to the diagram below.
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Problem 2
I'm not sure why your teacher wants you to use a compass and straightedge to construct an 80 degree angle. Such a task is not possible. The proof is lengthy but look up the term "constructible angles" and you'll find that only angles of the form 3n are possible to make with compass/straight edge.
In other words, you can only do multiples of 3. Unfortunately 80 is not a multiple of 3. I used GeoGebra to create the image below, as well as problem 1.
Answer:
10 seconds
Step-by-step explanation:
Every second the bug travels 0.5m/s or 0.5 meters per second.
Given that, every 2 seconds the bug will travel a full 1 meter.
To solve this one can simply divide 5m by 0.5 and get 10 seconds.
The cents are .635 and the greatest cent is 6. So, when it is rounded to the greatest value like estimating it will be 14.600 or 14.6. As easy as that. :)
Answer:
C: 23 cm
Step-by-step explanation:
This is the answer because:
1) Area of trapezoid is: (base1 + base2)/2 x height
2) In this case, it is 14 + 8 which is 22. 22/2 is 11.
3) Now we have to do 253/11 which is 23 cm.
Hope this helps! :D