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.
This is an example of division. 252/6=42. So 42 toys will go into each pinata.
Answer:
B) 2.849
Step-by-step explanation:
Given: 2.85 which is rounded to the nearest hundredth place.
To find the number, the thousandth place must be greater than or equal to 5.
Here 2.849 has the thousandth place greater than 5
When we round off 2.849 to the nearest hundredth place, we get
2.85
Therefore, answer is B) 2.849
Hope this will helpful.
Thank you.
9514 1404 393
Answer:
5) 112°
6) 40°
Step-by-step explanation:
5) The angle E or ? is half the sum of the intercepted arcs:
? = (130° +94°)/2 = 112°
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6) The angle D is half the difference of the intercepted arcs:
? = (135° -55°)/2 = 40°